Chemical Physics
An Iterative Dual-Channel Neural Quantum State Algorithm for Selected Configuration Interaction
Jen-Yu Chang, Yi-Chun Chang, Yu-Jui Lin et al. (+6 more)
Accurately solving the electronic Schrödinger equation for strongly correlated systems remains a central challenge in
quantum chemistry, where the exponential growth of configuration space limits the applicability of exact methods. Selected Configuration Interaction (SCI)
algorithms address this challenge by adaptively constructing compact determinantal expansions, yet their efficiency depends critically on the quality of the sampling strategy used to identify chemically important configurations. Here we introduce the Handover Iterative Neural
Quantum State (HI-NQS)
algorithm, which embeds a classically trained autoregressive
Transformer neural
quantum state within the iterative sample–diagonalize–update framework of Sample-Based
Quantum Diagonalization. A dual-channel
Transformer architecture with explicit
spin-up/
spin-down cross-
attention encodes fermionic
spin structure as an architectural inductive bias, enabling expressive and physically informed wavefunction representations. After each subspace diagonalization, the resulting eigenvector is distilled back into the network through a factorized
spin-marginal teacher signal, establishing a closed feedback loop between generative sampling and exact diagonalization.
Benchmarks across a range of small molecules and a systematic nitrogen active-space series demonstrate that HI-NQS achieves chemical accuracy on all systems tested, with determinant-count scaling substantially more favorable than conventional CIPSI-based SCI for all but the smallest active spaces. All calculations are performed on GPU hardware without
quantum computing resources, establishing HI-NQS as an efficient and scalable purely classical approach to the selected configuration interaction problem.
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All authors Jen-Yu Chang, Yi-Chun Chang, Yu-Jui Lin, Ming-Chun Yang, Hsiu-Chi Tsai, Tai-Yue Li, Nan Yow Chen, Tsung-Wei Huang, En-Jui Kuo
Optics
Giant Second-Harmonic Generation in 3R-MoS2/MLM Hybrid Metasurfaces Cavities
Omar A. M. Abdelraouf
Nonlinear 2D materials such as 3R-phase molybdenum disulfide (3R-MoS2) offer strong second-order optical nonlinearities in an atomically thin platform, making them attractive for on-chip frequency conversion,
quantum light generation, and integrated nonlinear nanophotonics. However, the second harmonic generation (SHG) efficiency of monolayer or few-layer 3R-MoS2 deposited on planar substrates remains fundamentally limited by weak light-matter interaction, poor phase matching, and small interaction volumes. Here, we introduce NanoPhotoNet-PINL, a physics informed AI-driven inverse design framework based on a hybrid one-dimensional convolutional neural network and deep neural network autoencoder, tailored for nonlinear MLMs metasurfaces. The model directly maps target dual-resonant reflection spectra at the fundamental and second-harmonic wavelengths to the required multi-layer geometries and material compositions that maximize the effective nonlinear overlap with an embedded 3R-MoS2 sheet. By integrating Maxwell-based nonlinear electrodynamics into the inverse design loop, we compute the second-harmonic conversion efficiency and modal overlap factors for each predicted MLMs design, enabling physics-guided training and evaluation. Our approach achieves an inverse-design prediction efficiency exceeding ~99.2 % along the linear spectral
manifold, while the optimized dual-resonant MLMs yield more than three orders of magnitude enhancement in SHG intensity compared to a bare 3R-MoS2 flake on a planar substrate. NanoPhotoNet-PINL establishes a generalizable paradigm for intelligent inverse design of nonlinear multi-layer metasurfaces and phase-matched dual-resonant cavities for high-efficiency second-order processes.
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Atomic Physics · Cross-listed from hep-ph
Coherent collective response in many-qubit systems for dark matter detection
Ryuichiro Kitano and Ryoto Takai
We propose an array of Ramsey-type interferometers using $N$ superposition states, $(\vert 0 \rangle + \vert 1\rangle)^{\otimes N}$, as a sensor to detect wave-like dark matter. After exposure to the dark matter wave, which induces coherent
qubit transitions, the signal is the imbalance between the numbers of 0 and 1 outcomes. The signal-to-noise ratio in this scheme is proportional to $N \alpha^2$, where $\alpha$ is the coupling of dark matter to the
qubits, and thus the sensitivity to the coupling scales as $\delta \alpha \sim 1 / \sqrt{N}$. For comparison, in the detection scheme based on the Rabi-type transition, $\vert 0 \rangle \to \vert 1\rangle$, this scaling is achieved only when $N$ highly entangled
qubits are used. Since the Ramsey-type measurement does not require entangled states, one can consider much larger $N$ by simply placing a large number of
qubits within the de Broglie wavelength of the dark matter. We demonstrate that, using trapped-ion
qubits in linear Paul traps as the sensor, the projected sensitivity to the coupling matches or surpasses existing laboratory, astrophysical, and cosmological bounds for $N \gtrsim 10^6$-$10^8$. We also evaluate its sensitivity to high-frequency gravitational waves. Our general framework should, in principle, be useful for other
quantum sensing platforms.
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Instrumentation and Detectors
Development and Characterization of Low-Scattering Vanadium Nanoparticle Targets for Short-Range Interaction Searches
Masayuki Hiromoto, Tatsushi Shima, Christopher C. Haddock et al. (+8 more)
We developed high-purity vanadium-based nanoparticle targets for
neutron scattering experiments aimed at exploring
gravity-like short-range new interactions in the submicron regime. Vanadium and V-Ni nanoparticles were fabricated using top-down and bottom-up methods and quantitatively characterized by SEM-EDS, ICP-AES, NDIR and SAXS. Through the performance tests, an RF thermal
plasma method was found to be the best from viewpoints of the reproducibility, dispersion of the radius, and contamination of metallic elements. The oxygen incorporation during fabrication was quantified, and its impact on the effective coherent scattering length was evaluated, leading to a minimum average coherent scattering length of $\mathrm{0.719(23)\,fm}$, comparable to that of natural vanadium. These results demonstrate that vanadium-based nanoparticle targets with controlled composition and nanostructure can be systematically designed and fabricated to suppress
nuclear scattering backgrounds, thereby enabling experimentally viable coherent
neutron scattering measurements for short-range interaction searches.
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All authors Masayuki Hiromoto, Tatsushi Shima, Christopher C. Haddock, Katsuya Hirota, Masaaki Kitaguchi, Ryota Kondo, Rintaro Nakabe, Kenji Mishima, Hirohiko M. Shimizu, Yuki Yoshikawa, Tamaki Yoshioka
Biological Physics · Cross-listed from cond-mat.soft
Solid-to-solid transition in dense assemblies of elongated cells
Shao-Zhen Lin and Jean-François Rupprecht
Cell shapes in confluent tissues range from nearly isotropic epithelial morphologies to highly elongated endothelial ones. In standard vertex models, tissue
rigidity is controlled by a target shape index; increasing this index drives
cell elongation and ultimate tissue fluidization. Here, we consider the case where
cell elongation emerges autonomously by assigning an intrinsic, passive elastic preference for anisotropic shape. This distinction reverses the usual expectation:
cell elongation does not fluidize the tissue, but drives a solid-to-solid transition from an ordered isotropic solid to a disordered anisotropic solid, with finite yield stress and shear
rigidity on either side of the transition. These results decouple
cell shape from tissue rheology and caution against inferring fluid-like mechanics from elongated
cell morphologies alone.
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Optics · Cross-listed from cs.AI
Socratic agents for autonomous scientific discovery in high-dimensional physical systems
Xianrui Zeng, Pengfei Liu, Yirui Zang et al. (+5 more)
The automation of scientific discovery has reached an inflection point. While AI systems now operate instruments, optimize parameters and generate hypotheses, most remain procedural: they execute workflows fixed by human designers. True autonomous science demands epistemic autonomy–the capacity to construct, challenge and revise physical explanations in response to evidence. Here we introduce AHOIS, a multi-
agent AI scientist that embeds Socratic midwifery into closed-loop experimentation. A physics-critic
agent interrogates hypotheses through causal questioning, constraint checking, counterexample generation and falsification-criteria formulation. We evaluate AHOIS on a real multimode-fibre optical platform, a high-dimensional system with complex wave transformations, indirect detection, environmental drift and multi-modal acquisition. Without prior encoding schemes, classifiers or speckle models, the system autonomously proposed and validated a random-interference encoding hypothesis, discovered task-adaptive sparse-measurement strategies, diagnosed distinct failure modes (encoding instability, fluorescence contamination and detector noise) and translated a published imaging protocol into an executable workflow on a non-original configuration. The discovered encoding yielded 16x16 measurements with effective rank 56.9 and classification accuracies of 76.97% on MNIST and 83.17% on Fashion-MNIST. Ablations show that Socratic interrogation improves physical consistency, hypothesis completeness, uncertainty calibration and experimental-plan validity. These results establish a route from workflow automation towards evidence-grounded, self-correcting autonomous discovery in complex physical environments.
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All authors Xianrui Zeng, Pengfei Liu, Yirui Zang, Yang Shen, Fei Yu, Chunlei Yu, Minghao Liu, Yang Du
Optics · Cross-listed from cond-mat.mes-hall
Perfect Absorption in the Strong Coupling Regime via Degenerate Critical Coupling
Eleonora P. Kraus, Jamie M. Fitzgerald, Carlos Maciel-Escudero et al. (+1 more)
Perfect absorption (PA) represents a fundamental limit of light-matter interaction and a means to maximize nanoscale energy conversion. While PA is now a well-established phenomenon, both the theoretical feasibility and a practical mechanism for achieving it under single-beam excitation within the strong coupling regime is unknown. Through rigorous solution of Maxwells equations for a compact photonic
crystal (PhC) architecture incorporating a two-dimensional
semiconductor, we present a general method based on degenerate critical coupling for single-port PA of
exciton-polaritons. At the crossing of two polariton branches, we achieve near-unity absorption exceeding 99.8 % in a structure thinner than $100\,$nm. This effect is robust under realistic Gaussian beam excitation, and can be realized across different temperatures and excitonic materials by tailoring the PhC geometry. Our results establish a strategy for enabling efficient light-matter coupling, with direct implications for the development of metal-free, ultra-compact polaritonic logic devices, sensors, and energy-harvesting platforms.
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All authors Eleonora P. Kraus, Jamie M. Fitzgerald, Carlos Maciel-Escudero, Ermin Malic
Atmospheric and Oceanic Physics
Modelling convective cell occurrence in proximity to cold fronts using extreme gradient boosting
George Pacey, Stephan Pfahl and Lisa Schielicke
Machine learning is emerging as a valuable tool for convection-related applications such as post-processing numerical weather prediction output, improving understanding of convective storm climatology and potentially improving existing convective parameterization schemes. In a rapidly developing field, it is vital to assess the strengths and limitations of machine learning approaches across different applications. Here, a probabilistic model is developed using a convective
cell dataset as ground truth and predictors primarily from ERA5. The model's ability to reproduce the convective
cell climatology at different regions relative to cold fronts (i.e. post-frontal and pre-frontal) is assessed during the warm-season in Germany. The optimal number of features (predictors) is selected using a feature elimination strategy. Overall, the optimised model exhibits high skill in reproducing the spatial and temporal
cell frequency at different regions relative to the front. While the highest
cell frequency is correctly identified near the surface front, the model underestimates the actual
cell count in this region. Feature importance analysis shows that the model depends most heavily on CAPE to make its predictions. Additionally, the time of day predictor is key for accurately capturing the diurnal cycle of convective
cells on both sides of the cold front. The study highlights both the advantages and the limitations of data-driven models, offering valuable insights for future data-driven
climate and weather prediction models.
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Computational Physics · Cross-listed from hep-ph
CHESS: CHEbyshev pSeudo-Spectral transport for Feynman integral differential equations
Yuanche Liu and Yang Zhang
We present CHESS (CHEbyshev pSeudo Spectrum), a Wolfram
Language package for high-precision one-dimensional transport of {\epsilon}-factorized differential equations for Feynman master integrals. The solver works with the
matrix obtained by pulling a differential one-form to a chosen path. This
matrix may be supplied directly, or assembled from constant
matrices and precomputed scalar pullbacks of the one-forms. The program combines Chebyshev-Lobatto spectral collocation, sparse
matrix assembly, sequential propagation in the {\epsilon}-expansion, and residue-based regularization of spurious regular singular endpoints.
Benchmarks for large multi-scale integral families show rapid node convergence and agreement with independent reference data where such data are available. In the fixed local-series comparison used here, the Chebyshev transports also give shorter wall times; the reported process-tree
memory usage is comparable for the smaller parallel runs and lower for the largest
benchmark system in that comparison.
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Plasma Physics
Identification of MHD equilibrium $\beta$ limits for CFQS plasmas
Jian Zhang, Ping Zhu, Haifeng Liu et al. (+3 more)
The magnetohydrodynamic (MHD)
equilibrium $\beta$ limits in the Chinese First QuasiAxisymmetric Stellarator (CFQS) are investigated using the NTEC code, for both the standard and the
magnetic island configurations. The
equilibrium $\beta$ limit is identified upon the onset of the rapid destruction of nested flux surfaces by evaluating several numerical metrics, including the fractal dimension, weighted Birkhoff average, and effective volume of parallel
diffusion. In the standard configuration, the net-current-free and the bootstrap-current-carrying
equilibria can sustain well-ordered
magnetic surfaces up to $\langle\beta\rangle\approx1.5\%$. The proliferation of
stochastic field lines starts after the critical overlap between the internal major islands and the high-order island chains. Two types of divertor island configurations are studied based on net-current-free
equilibria. It is found that the edge islands may transition into open field lines at low $\langle\beta\rangle$ values and lead to a drastic shrinkage of the last closed flux surface. Meanwhile, the threshold $\langle\beta\rangle$ value of the degradation of inner flux surfaces is similar to the standard configuration.
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All authors Jian Zhang, Ping Zhu, Haifeng Liu, Yasuhiro Suzuki, Chris C. Hegna, Yuhong Xu
Fluid Dynamics · Cross-listed from cond-mat.soft
Solid adsorption: the missing mechanism for surfactant contact lines – a phase-field approach
Parvathy K. Kannan, Kazi T. Iqbal, Diego Díaz et al. (+5 more)
We develop a thermodynamically consistent phase-field model for soluble surfactants in two-phase flows, incorporating both interfacial and solid surface adsorption. The model is derived via variational principles consistent with the second law of thermodynamics, resulting in modified free energies and boundary conditions that capture surfactant transport, adsorption, and wetting dynamics. A key contribution of this work is the inclusion of surfactant adsorption on solid walls, which leads to qualitative agreement with experimental observations: unlike prior numerical studies that predicted hydrophilic surfaces becoming more hydrophilic and hydrophobic surfaces more hydrophobic, our model shows a shift toward increased hydrophilicity across all contact angles-consistent with experimental trends. Our results establish that solid adsorption provides the missing mechanism required for predictive modelling of surfactant-laden contact line dynamics.
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All authors Parvathy K. Kannan, Kazi T. Iqbal, Diego Díaz, Ilse Mateman, Shahab Mirjalili, Gustav Amberg, Shervin Bagheri, Outi Tammisola
Atomic Physics · Cross-listed from cond-mat.quant-gas
Binary Dipolar Condensates of Dysprosium Isotopes with Tunable Spatial Order
Shenshuang Nie, Zibin Jiang, Junrong Huang et al. (+4 more)
Dipolar
quantum mixtures provide a route to many-body phases in which long-range anisotropic interactions couple with density, composition and spatial order. Here we realize a new
quantum-degenerate dipolar mixture of $^{162}$Dy and $^{164}$Dy in a single-species-like apparatus. The mixture combines nearly matched single-particle
Hamiltonians, tunable interactions and composition parameters, and isotope-resolved characterization. Tuning the interaction balance and relative composition reorganizes the coupled condensates from a miscible state into core–shell-like, side-by-side, and exchanged core–shell-like immiscible configurations. These results establish dysprosium isotope mixtures as a compact and versatile platform for multicomponent dipolar
quantum matter, ranging from
impurity physics to binary supersolidity.
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All authors Shenshuang Nie, Zibin Jiang, Junrong Huang, Xiao Luo, Fucheng Qin, Kaiyue Wang, Mingyang Guo
Chemical Physics · Cross-listed from cond-mat.mtrl-sci
Shape-Constrained Bayesian Active Learning of Self-Limiting Saturation Curves
Pouyan Navabi and Christos G. Takoudis
Saturation curves, monotone responses that rise from zero to a plateau, recur across gas adsorption, enzyme kinetics, and self-limiting growth. Learning one from a few costly, noisy measurements is a common bottleneck. We present a
Bayesian active-learning platform built on a penalized monotone I-spline. Non-negative weights make every posterior draw rise from zero and never fall, a survey measurement anchors the plateau in place of a flatness prior, and the input reaching any saturation level is read from the posterior by level crossing, assuming no kinetic form. Each measurement is placed where the surrogate is least certain, which beats random designs and edges a log-spaced grid of the same budget. One fixed configuration recovers five kinetically distinct regimes from twenty measurements to a saturation error of 0.037 to 0.041, below the output noise, and averages 0.045 on 250 curves from an unseen distribution. Running unconstrained Gaussian processes (GPs) and two unpenalized monotone bases through the same loop separates each ingredient's contribution. Logarithmic resolution and the roughness penalty carry the accuracy, while monotonicity guarantees a level crossing unique on every draw. The penalty keeps the surrogate the most accurate model at every noise level, and its second-order form centers the recommended input for saturation where a first-order penalty reads late (a bias of +0.32 s with 94% coverage, against +0.44 s and 64% for the matched unconstrained GP). Because the recommended input lies where the curve is nearly flat, no method can pin it down precisely, and we report it as a cost-indexed
quantile with the probability of falling short.
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Computational Physics · Cross-listed from cond-mat.mtrl-sci
Topological phase transition driven by in-plane spin rotation
Xinyue Zhu, Yu Xie, Yifei Hao et al. (+3 more)
The intrinsic coupling between magnetism and nontrivial band
topology in
magnetic topological
insulators makes external
magnetic fields a powerful tool for manipulating topological states. However, conventional
magnetic control mechanisms, such as driving
magnetic phase transitions or fully reversing magnetization, typically demand large
magnetic fields and lack continuous tunability. Here, we establish a
symmetry framework for the reversible switching of topological states via continuous in-plane
spin rotation, governed by
magnetic point group constraints on the Berry
curvature distribution. Using a two-dimensional kagome
ferromagnetic Chern
insulator as a prototype, we demonstrate that a 60{\deg}in-plane magnetization rotation reverses the sign of the Chern number, transitioning through a topologically trivial state. Crucially, micromagnetic simulations confirm that this
spin-reorientation-driven switching operates under exceptionally small
magnetic fields and on ultrafast timescales. This work provides a highly efficient, low-energy paradigm for the manipulation of topological states.
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All authors Xinyue Zhu, Yu Xie, Yifei Hao, Fei Gao, Yue Li, Junting Zhang
Atomic Physics · Cross-listed from quant-ph
Scattering theory for cavity-assisted spin-motion-photon interactions
Seigo Kikura, Aruku Senoo, Akihisa Goban et al. (+1 more)
Cavity-assisted
photon scattering (CAPS) is a powerful mechanism for realizing strong interactions between the internal states of stationary
qubits and flying
photons, underpinning a broad range of hybrid atom-
photon protocols including remote
entanglement generation and heralded atom-
photon gates. Recently, the motional
quantum state has emerged as an important building block for
quantum information processing with atomic
qubits, both as a coherently controllable degree of freedom and as a fundamental error channel through undesired
spin-motion coupling. For the resonant-coupling regime of cavity
quantum electrodynamics relevant to CAPS operations, however, the analytical formulation of
spin-motion-
photon coupling has so far remained elusive. Here, we develop a complete analytical framework for CAPS that incorporates the coherent interaction between atomic motion and a reflected
photon by extending scattering theory to include the motional degree of freedom. The resulting compact operator-based input-output relation applies uniformly across various cavity geometries,
spin-dependent trapping potentials, and nonidentical multiple
spins. As an exemplary application, we use the framework to elucidate how atomic motion affects CAPS-based atom-
photon gates, identifying the parameter regimes that suppress motion-induced errors. Our framework provides a theoretical foundation both for mitigating motional errors in CAPS operations and for deliberately exploiting motion-
photon interaction at the atom-
photon interface.
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All authors Seigo Kikura, Aruku Senoo, Akihisa Goban, Shinichi Sunami
Accelerator Physics
Systematic Derivation of Reliable Wake Functions for Complex Structures from Mesh-Based Wakefield Simulations
Chih-Kai Liu, Wai-Keung Lau, Shih-Hung Chen et al. (+1 more)
Wakefield calculations are essential for analyzing beam-driven electromagnetic structures in accelerators. Although analytical wake functions are available for simple symmetric structures, complex geometries generally require mesh-based electromagnetic simulations, which provide finite-bunch wake potentials rather than point-charge wake functions directly. In this study, we present a systematic deconvolution-based method for extracting reliable wake functions from numerically calculated wake potentials using the prescribed drive-bunch distribution. The method is validated with a rectangular dielectric-lined waveguide (DLW), where the extracted longitudinal wake functions agree well with analytical solutions in both the short- and long-range regimes when the drive bunch is sufficiently short. The extracted wake function is further implemented in particle-tracking simulations, producing phase-space distributions consistent with those obtained using a built-in analytical wake-function model. The method is also applied to a modified rectangular DLW with a non-uniform horizontal dielectric distribution. The extracted longitudinal and transverse wake functions and corresponding beam impedances show that the dominant deflecting wakefield can be substantially reduced without significantly degrading the longitudinal wakefield. These results demonstrate the reliability and applicability of the proposed method for complex dielectric-loaded structures.
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All authors Chih-Kai Liu, Wai-Keung Lau, Shih-Hung Chen, Wei-Yuan Chiang
Plasma Physics
The Negative Triangularity Tokamak Path for Fusion Pilot Plants: Experimental Progress and Future Prospects
K. E. Thome, M. E. Austin, S. Coda et al. (+8 more)
This paper reviews the experimental progress of negative triangularity (NT), a tokamak configuration where the poloidal cross-section is a reversed-D shape compared to the conventional positive triangularity (PT) shape. NT is a promising reactor scenario that addresses the fundamental tension between performance, exhaust, and robustness. NT studies have accelerated globally across these three pillars over the past several years. While tokamak pilot plants are typically designed for the standard PT H-mode regime, this approach faces significant challenges in balancing high core performance with manageable heat and particle exhaust as well as reliable robustness. In contrast, NT
plasmas have achieved H-mode-level confinement while remaining robustly free of the deleterious edge localized mode (ELM) instability. Regarding exhaust, NT offers a larger divertor wetted area on the outboard side and demonstrates compatibility with detachment and operation at high core radiation fraction without the constraints of the L-H power threshold, while also exhibiting low core
impurity retention. NT operates with high reproducibility over a wide operating space, demonstrated by robust discharge-to-discharge consistency, and has access to
plasmas with very high Greenwald fractions and/or low edge safety factors compared to PT H-mode
plasmas. Further research is required to answer outstanding questions related to reactor confinement extrapolation, the optimal triangularity for a reactor, and core-edge integration. NT studies in existing and planned tokamaks are increasing, as is interest in possible reactor concepts. The unique physics and engineering advantages of NT offer a robust and simplified foundation for a viable fusion power plant.
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All authors K. E. Thome, M. E. Austin, S. Coda, A. Marinoni, A. Hyatt, A. O. Nelson, T. Odstrčil, C. A. Paz-Soldan, O. Sauter, F. Scotti, B. Vanovac
Accelerator Physics
Two-and-a-half dimensional symplectic space-charge solver
Ji Qiang
The nonlinear space-charge effect plays a significant role in high-intensity accelerators and has been extensively studied using multi-particle tracking methods. In this paper, we present a novel 2.5-dimensional
symplectic space-charge solver specifically designed for long beam bunches. We begin by detailing its application to a transverse Gaussian density distribution under open boundary conditions in a straight system, where a semi-analytical expression is derived. We then demonstrate the solver's adaptation to arbitrary distributions in open space, as well as within rectangular and round conducting pipes. Finally, we discuss the extension of this solver to circular accelerator systems. This study shows that the fast 2.5-dimensional solver can be a good approximation to the fully three-dimensional solver for long bunches in large circular accelerators.
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Optics · Cross-listed from quant-ph
Nonsmooth Bloch Oscillations in Non-Hermitian Systems
Yanyan He and Tomoki Ozawa
Bloch oscillations (BOs) represent a paradigmatic manifestation of force-driven band dynamics in
lattices, conventionally characterized by continuous quasimomentum
evolution and smooth periodic trajectories. Here we show that non-Hermiticity qualitatively changes this paradigm, introducing nonsmooth BOs characterized by cusp-like real-space trajectories and abrupt momentum jumps. Reversing the force switches the dynamics between smooth and nonsmooth BOs, enabling strongly nonreciprocal dynamics. We derive a universal relation for the critical force that governs the nonsmooth-to-smooth dynamical transition in general one-dimensional
lattices, which is induced by a pitchfork bifurcation in momentum space. Our work establishes a unified framework for non-Hermitian BOs and uncovers a fundamental bifurcation mechanism that can generate nonsmooth wave transport in entirely linear systems.
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