Materials Science
Magneto-optical evidence for single-crystal-like magnetic switching of epitaxial antiferromagnetic LaFeO3 films
A. Rieche, W. Hoppe, C. Körner et al. (+11 more)
Strained epitaxial films of the
antiferromagnetic orthoferrite LaFeO3 offer a promising platform for
antiferromagnetic spintronics, yet their
magnetic switching behavior and domain structure have remained largely unexplored due to the small magnitude of the weak
ferromagnetic moment. Here, we demonstrate that longitudinal magneto-optical Kerr effect (MOKE) measurements provide a sensitive and direct probe of
magnetic switching and domain processes in coherently strained LaFeO3 thin films grown on orthorhombic substrates. By employing DyScO3(110), GdScO3(110), and NdGaO3(110) substrates, we achieve straincontrolled, largely twin-free growth and identify the orientation of the orthorhombic c-axis through the presence or absence of a longitudinal MOKE signal. Compressively strained films exhibit large Kerr signals, rectangular hysteresis loops, and
magnetic single-domain remanence over macroscopic areas. Tensile strain on orthorhombic substrates is associated with two competing structural effects on thin film orientation; in-plane magnetization has been identified in some films on GdScO3(110) by MOKE. Angle-dependent MOKE hysteresis follows the Kondorsky model, indicating domain-wall-controlled switching analogous to bulk single
crystals. Kerr microscopy reveals abrupt domain nucleation and rapid domain-wall motion, with defects acting as pinning centers and governing the coercive field. Our results establish MOKE as an efficient optical tool for identifying orthorhombic orientation, probing
magnetic switching of coupled weak magnetization and Neel vectors, and accessing domain dynamics in LaFeO3 films. This provides a foundation for strain-engineered orthoferrite thin films in
antiferromagnetic spintronics and magnonics.
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All authors A. Rieche, W. Hoppe, C. Körner, A. D. Rata, F. Weber, J. B. G. Danziger, E. M. Vocks, F. Wührl, M. Bargheer, W. Widdra, G. Woltersdorf, S. Ebbinghaus, A. Herklotz, K. Dörr
Mesoscale and Nanoscale Physics · Cross-listed from physics.optics
Spatially Uniform and Defect-Tolerant Plasmonic Responses in 3D printed Gold Nanoparticle Assemblies
Vasanthan Devaraj, Sunghyun Kwak, Hyeongjip Kim et al. (+4 more)
Three-dimensional (3D) assemblies of gold nanoparticles (AuNPs) offer a rich platform for plasmonic coupling and near-field engineering, yet their optical behavior is often complex due to structural disorder and fabrication-induced variability. Here, we present a systematic optical investigation of large-scale 3D AuNP assemblies fabricated via meniscus-guided assembly, focusing on the reproducibility and spatial uniformity. Spatially-resolved dark-field scattering measurements reveal that high-aspect-ratio AuNP pillars exhibit uniform scattering spectra along their height and across different pillars, despite variations in geometry and structure. Electromagnetic simulations suggest that this robustness arises from an ensemble-averaged plasmonic response governed by many local coupling regions within a finite plasmon delocalization length. Simulated near-field and surface charge distributions suggest that the broad ensemble response remains spatially distributed under representative structural perturbations, consistent with volumetric averaging. Building on this robust platform, we introduce compositional modulation through a core-satellite architecture by incorporating smaller AuNPs. This yields a composition-dependent spectral redistribution, including an additional long-wavelength spectral feature in the core-satellite assemblies. Wavelength-dependent surface-enhanced Raman scattering measurements reveal contrasting responses under 633 and 785 nm excitation, reflecting redistribution of local plasmonic coupling pathways. These results establish design principles for robust 3D plasmonic nanoparticle assemblies with ensemble-averaged and composition-tunable optical responses.
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All authors Vasanthan Devaraj, Sunghyun Kwak, Hyeongjip Kim, Sang-Keun Sung, Jong-Min Lee, Thomas Zentgraf, Won-Geun Kim
Mesoscale and Nanoscale Physics
Tailoring pure valley-Zeeman spin-orbit coupling in WSe$_2$-encapsulated monolayer graphene
Yaqing Han, Siqi Jiang, Jingkuan Xiao et al. (+17 more)
Engineering proximity effects in twisted van der Waals
heterostructures offers a powerful platform for designing electronic properties. While theoretical predictions of
quantum interference in transition metal dichalcogenide-encapsulated
graphene can selectively control the
spin-orbit coupling component, experimental realizations have remained elusive. Here, we report pure valley-Zeeman
spin-orbit coupling in monolayer
graphene, achieved by encapsulation between two parallel twisted WSe$_2$ monolayers. We observed a
symmetry-enforced reordering of Landau levels, which is driven by the competition between the fixed valley-Zeeman energy and the
magnetic-field-dependent cyclotron energy. This reordering is characterized by a transition from
symmetry-broken states in the
quantum Hall effect to a restored fourfold degeneracy with integer or half-integer
quantum Hall sequences. We also demonstrate the ability to completely quench the proximity
spin-orbit coupling by tuning the encapsulated geometry.
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All authors Yaqing Han, Siqi Jiang, Jingkuan Xiao, Jiawei Jiang, Yulu Liu, Jiabei Huang, Yu Du, Di Zhang, Fuzhuo Lian, Wanting Xu, Siqin Wang, Kenji Watanabe, Takashi Taniguchi, Xiaoxiang Xi, Alexander S. Mayorov, Renjun Du, Kai Chang, Hongxin Yang, Lei Wang, Geliang Yu
Soft Condensed Matter
Monte-Carlo study of Compositional Heterogeneity in Multicomponent Cluster Crystals
Roshan Maharana, Daan Frenkel and Jure Dobnikar
Soft (sub)micron-sized particles with bounded interactions can form cluster
crystals, periodic structures in which multiple particles occupy the same
lattice site. While the thermodynamics of monodisperse cluster
crystals is well understood, less is known about how compositional disorder affects their stability. Using Monte Carlo simulations and density functional theory we show that binary cluster
crystals undergo a density driven transition from a homogeneous mixed state to a heterogeneous “
alloy" like solid in which
lattice sites spontaneously differentiate into populations with distinct compositions and occupancies while preserving the underlying
crystal symmetry. The transition is accompanied by a sharp increase in the
equilibrium lattice site density and by increased compositional fluctuations, but we see no evidence for macroscopic phase separation. We demonstrate that this transition is governed by competition between clustering and demixing instabilities and derive a simple scaling law for the demixing density as a function of temperature, composition, and particle size mismatch, in quantitative agreement with simulation.
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Disordered Systems and Neural Networks · Cross-listed from stat.ML
An Asymptotic Theory of Chain-of-Thought in In-Context Learning
Kaito Takanami and Cengiz Pehlevan
Chain-of-thought (CoT)
reasoning has become a widely used mechanism for eliciting multi-step
reasoning in large
language models by generating intermediate
reasoning steps at inference time. Yet the scaling behavior of generalization with CoT depth remains poorly understood. To address this question, we study a theoretically solvable model of CoT for in-context weight prediction in linear regression, where test-time
reasoning is represented as an iterative refinement of the weight-parameter estimate. Using tools from random
matrix theory under high-dimensional asymptotics, we derive an exact formula for the generalization error as a function of
reasoning depth, pretraining data amount, and context length. Our analysis reveals a sharp phase transition separating exponential and
polynomial improvement, saturation, and overthinking, and characterizes how the optimal
reasoning depth scales. We further show that deeper
reasoning is most effective with sufficiently rich pretraining and in-context information, whereas limited pretraining or context makes longer
reasoning prone to error amplification or saturation. We also validate these predictions through experiments on fully learned linear
attention and softmax
attention models. Our results provide a unified theoretical account of how test-time CoT depth affects generalization.
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Statistical Mechanics
Geometric Bounds on the Finite-Time Performance of Active Machines
Geng Li and Z. C. Tu
Optimizing energy conversion in active matter remains a central challenge in nonequilibrium physics. Here, we develop a unified thermodynamic framework that characterizes the finite-time performance of interacting active machines. We show that cyclic work admits a
geometric decomposition into an antisymmetric thermodynamic
curvature, governing work extraction, and a symmetric metric, controlling dissipation. Minimal-dissipation protocols follow geodesics in parameter space, while optimal work extraction deviates from them due to a
curvature-induced, Lorentz-like effect. This
geometric structure directly determines the finite-time scaling of work and dissipation, enabling a mapping onto Onsager-type quasi-linear current–force relations. We show that both the maximal efficiency and the efficiency at maximum power are governed by an asymmetry parameter and a figure of merit, establishing a formal correspondence between active machines and thermoelectric devices with broken time-reversal
symmetry. Our results reveal a fundamental
geometric origin of energy-conversion performance and provide a general framework for optimizing active machines.
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Mesoscale and Nanoscale Physics
Generation and time evolution of anomalous Floquet Majorana flat edge modes in two-dimensional noncolinear magnet-superconductor heterostructures
Kamalesh Bera, Priyanka Mohan and Arijit Saha
We theoretically investigate the realization of gapless Floquet topological superconducting phases in a two-dimensional magnet-
superconductor heterostructure (2D Shiba
lattice) in the presence of a harmonic drive implemented in the chemical potential. Employing a real-space tight-binding model, we obtain both the regular $0$- and anomalous $\pi$-Floquet Majorana flat edge modes (FMFEMs) in the quasi-energy spectrum. We also study the real-time
evolution of the FMFEMs and analyze their local density of states in the presence of such a periodic drive. The topological characterization is performed using the winding number, exploiting the
chiral symmetry of the equivalent bulk effective momentum-space
Hamiltonian. This is also supported by the corresponding edge state spectra. Furthermore, we employ the Brillouin-Wigner (BW) and Floquet perturbation theory (FPT) to gain analytical insight into the problem. We compare our exact (numerical), BW, and FPT results in terms of the quasi-energy spectra obtained across different frequency regimes. We find good agreement between the exact numerical, BW, and FPT results in the higher-frequency and high-amplitude domain, particularly close to the $0$-quasi-energy modes.
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Statistical Mechanics · Cross-listed from math-ph
Logarithmic Sobolev inequality and hypercontractivity for the Navier-Stokes Fokker-Planck operator
Zhi-Wei Wang and Samuel L. Braunstein
The
stochastic incompressible Navier-Stokes equations on $\TT^3$, completed by the fluctuation-dissipation noise, have a Fokker-Planck generator that decomposes into a self-adjoint Ornstein-Uhlenbeck (dissipative) part and an antisymmetric (convective) part. We prove two results about this generator. First, the logarithmic Sobolev inequality holds with the same optimal constant as the pure Ornstein-Uhlenbeck operator, $c_\mathrm{LSI} = \nu\lambda_1$ (where $\nu$ is the viscosity and $\lambda_1$ is the smallest nonzero
eigenvalue of the
Laplacian on $\TT^3$), independent of the number of retained
Fourier modes. Second, the full
semigroup is hypercontractive with the same rate as the Ornstein-Uhlenbeck
semigroup. Both results follow from a single structural property: the convective generator is antisymmetric in $L^2(P_\mathrm{eq})$ (where $P_\mathrm{eq}$ is the Gibbs measure), and therefore contributes nothing to the Dirichlet form or the $L^q$ norm
evolution. The antisymmetry is a consequence of two properties of the incompressible Navier-Stokes nonlinearity: energy conservation and phase-space volume preservation (the Liouville property). These are the same properties that underpin the fluctuation-dissipation
theorem for the nonlinear Navier-Stokes equations.
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Statistical Mechanics · Cross-listed from physics.flu-dyn
Turbulence: An Entropic Approach
Christian Beck and Constantino Tsallis
We show that maximizing the generalized entropic functional $S_{q,\delta}$ subject to standard kinetic energy constraints provides generalized canonical distributions that agree perfectly with measured probability densities of velocity differences at distance $r$ in highly-turbulent Taylor-Couette flow. The end point of the turbulent cascade is described by $\delta =\frac{3}{2}$, a parameter value that also plays an important role in black-hole physics. At this point the Kolmogorov length scale $r=\eta$ is reached and all observable eddy structures of the turbulent flow disappear, in certain analogy to what is observed for black holes at the event horizon. Our approach generalizes statistical mechanics to more general nonadditive entropic functionals $S_{q,\delta}$ such that it is applicable to turbulent flows. This approach asymptotically generates stretched $q$-exponentials as generalized canonical distributions relevant for turbulent flow, with a particular dependence of the stretching exponent $\delta^{-1}$ on $q$ that follows from the well-known escort formalism in nonextensive statistical mechanics. Along this particular line in the parameter space, the physics can be described by $S_q$ on its own with suitable escort constraints, leading to the prediction $\delta^{-1} (r) =2-q(r)$, thus allowing for a consistent thermodynamic description since $S_q$ is both trace-form and composable. We show that the above theoretically derived relation is well satisfied by measured high-precision experimental data for Taylor-Couette flow. At the Kolmogorov length scale $r=\eta$, the endpoint of our scenario, one has $\delta =\frac{3}{2}$ and at this point the third moment of velocity differences ceases to exist and all eddies disappear. We point out various analogies with thermodynamic entropic approaches to black hole physics.
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Strongly Correlated Electrons
Many-Body Non-Hermitian Physics in the Generalized Brillouin Zone
Chaoze Lu, Chuanshu Xu, Zhenghao Yang et al. (+1 more)
The breakdown of conventional bulk-boundary correspondence (BBC) in non-Hermitian system can be resolved by the generalized Brillouin zone (GBZ) theory. However, extending the GBZ theory to interacting many-body systems remains an open problem. Here, we consider an interacting non-Hermitian model characterized by a circular GBZ. We show that, based on a GBZ transformation, a quasi-reciprocal many-body
Hamiltonian can be constructed which, under periodic boundary conditions (PBC), captures the physics of the original non-Hermitian model under open boundary conditions (OBC). Using exact diagonalization (ED), we determine the phase diagram for the quasi-reciprocal many-body
Hamiltonian by computing the Zak phase and the structure factor of the charge-density-wave (CDW) phase. We further investigate the
entanglement properties and find that the degeneracy of the low-lying
entanglement spectrum characterizes each phase in the phase diagram. These findings demonstrate that the topological properties in interacting non-Hermitian system is encoded in the
entanglement spectrum of the quasi-reciprocal model. Our work establishes a route to studying many-body non-Hermitian physics within the GBZ formalism.
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All authors Chaoze Lu, Chuanshu Xu, Zhenghao Yang, Xiancong Lu
Strongly Correlated Electrons · Cross-listed from hep-th
Magnetic Symmetries and the Structure of Correlation Functions in Quantum Field Theory
Masaru Hongo and Kentaro Nishimura
Quantum field theories in the presence of a static and uniform external
magnetic field possess two characteristic spatial
symmetries:
magnetic translations and
magnetic rotation. We investigate general consequences of these
symmetries on correlation functions from a model-independent perspective, without relying on specific models or perturbative expansions. The projective structure of
magnetic translation
symmetry constrains correlation functions of charged operators to acquire the Schwinger phase and leads to a factorized form into a gauge-covariant phase factor and a reduced correlator depending only on relative coordinates. We further derive the spectral representation of two-point functions in terms of representations of the
magnetic translation
algebra, in which the Landau- and symmetric-gauge descriptions arise as different choices of basis. Our results provide a unified
symmetry-based framework for
quantum field theories in external
magnetic fields.
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Materials Science
High-Throughput Discovery of Semimetallic Borophenes with Diverse Dirac States Via Transferable Tight-Binding Approach
Yuke Song, Shifang Li, Tao Ouyang et al. (+3 more)
Borophene has attracted extensive interest due to its structural flexibility and emergent topological electronic states. However, semimetallic borophenes hosting robust Dirac states remain rare among the large number of predicted allotropes. Here, we develop a transferable tight-binding framework for planar borophenes and combine it with a graph- and group-theory-based random generation strategy to perform high-throughput screening of 522 borophene candidates. Eight previously unreported semimetallic borophenes are identified, hosting diverse topological band crossings, including type-I and type-III Dirac cones, Dirac nodal lines, and quadratic nodal points. Notably, quadratic nodal-point semimetals are predicted in borophene for the first time.
Symmetry analysis reveals crystalline-
symmetry-protected Dirac states, while first-principles calculations confirm their dynamical and thermal stability. These findings establish borophene as a versatile platform for engineering emergent Dirac physics in two dimensions.
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All authors Yuke Song, Shifang Li, Tao Ouyang, Chao Tang, Jin Li, Chaoyu He
Materials Science
Multiferroicity in the two-dimensional limit in hexagonal LuFeO3 films
Huilin Lai, Junyu Tan, Jinfeng Zhai et al. (+15 more)
Multiferroic
oxides, which combine coupled ferroelectric and
magnetic orders, are central to understanding correlated
quantum phenomena. Yet, as thickness approaches the two-dimensional (2D) limit, both ferroelectricity and magnetism are conventionally expected to vanish due to depolarization fields and finite-size effects, respectively. Here, we demonstrate that hexagonal LuFeO3 (h-LuFeO3) retains coupled ferroelectricity and magnetism at the 2D limit, with a thickness of just one and a half unit
cells. Remarkably, the ferroelectric polarization remains comparable to bulk values at room temperature, while long-range magnetism and magnetoelectric coupling persist at low temperatures. We further show that the K3
phonon mode, which mediates the polarization-magnetism coupling, is stable down to the 2D limit. Our results establish h-LuFeO3 as the first
oxide system to exhibit genuine 2D-limit multiferroicity, providing a fundamental breakthrough in the long-standing quest to understand and control coupled ferroic orders at the atomic scale.
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All authors Huilin Lai, Junyu Tan, Jinfeng Zhai, Yang Shi, Lili Feng, Huanyu Zhang, Chuanrui Huo, Chuhang Liu, Lijun Wu, Lifeng Yin, Hangwen Guo, Jun Chen, Xiaoshan Xu, Jun Zhao, Yimei Zhu, Shiqing Deng, Wenbin Wang, Jian Shen
Quantum Gases
Observation of interaction-induced fast Thouless pumping of solitons
Yuqing Li, Jinxiong Jia, Yunfei Wang et al. (+7 more)
Thouless pumping provides a paradigmatic platform for studying the effects of interactions on topological transport in periodically driven systems. However, most studies have been constrained by adiabatic conditions, which preclude exploration of interaction-driven novel topological states at high driving frequencies. Here, we experimentally investigate the interplay between interaction and modulation frequency in Thouless pumping realized in a periodically modulated
lattice in momentum space of atomic Bose-Einstein condensate. We observe fast Thouless pumping of matterwave
solitons at intermediate interactions, with no counterpart in the non- or weakly interacting regimes. Beyond the boundary of topological phase transition induced by interaction, nonadiabatic quantized pumping of
solitons emerges at high modulation frequencies over a broad interaction range, in good agreement with theoretical calculations, while the
solitons remain trapped in the low-frequency adiabatic pumping regime. Our work opens new avenues for accelerating topological transport in driven
quantum systems and engineering fast topological devices.
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All authors Yuqing Li, Jinxiong Jia, Yunfei Wang, Huiying Du, Zhong An, Zhenhua Qiao, Liantuan Xiao, Suotang Jia, Qian Niu, Jie Ma
Mesoscale and Nanoscale Physics
Valentin Fadeev
We discuss
spin-dependent transfer-
matrix formalism applied to
magnetic multilayers in
geometric terms. Starting from the stationary Schrödinger equation rewritten as a first-order spatial
evolution problem, we interpret the transfer
matrix as a path-ordered exponential and relate its matching-
matrix construction to a noncompact group constraint. We then connect the induced Möbius action on reflection
matrices to an Iwasawa decomposition, identify Weyl-chamber variables as the minimal noncompact transport invariants, and show how torque-related
spin structures arise from compact-sector and commutator contributions. A sequence of multilayer examples illustrates the transition from pure
spin filtering to controlled
spin-orbit mixing and the resulting deformation of Weyl-chamber trajectories. We finally comment on the extension to higher-dimensional internal spaces relevant to orbital transport and realistic calculations.
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Soft Condensed Matter
Attractive Hopfions and Bimerons in Thin Films of Chiral Magnets: Cluster Formation and Lattice Instability in the Conical Phase
Andrey O. Leonov and Takayuki Shigenaga
We investigate the energetics, interactions, and ordering tendencies of bimerons (cholesteric fingers of the second type, CF–2) and hopfions in thin films of
chiral magnets and
chiral liquid crystals hosting a conical background state. Although isolated bimerons possess positive eigen-energy with respect to the conical phase, they develop an attractive interaction mediated by the restructuring and partial overlap of their positive-energy shells, i.e., intermediate regions formed relative to the conical state. This attraction promotes the formation of bound pairs and extended bimeron chains, even in parameter regimes where a periodic bimeron
lattice is no longer thermodynamically stable. Extending the analysis to three dimensions, we show that circularization of bimerons into hopfions renders their energy finite and gives rise to a well-defined metastability window closely linked to the stability range of cholesteric fingers. Isolated hopfions likewise exhibit an attractive interaction within the conical phase, leading to the formation of hexagonally ordered clusters. The attraction originates from the competition between favorable and unfavorable twist regions and from the energetic cost of the shell structures imposed by the conical background. Despite the presence of attractive pair potentials and cluster formation, we demonstrate that hexagonal hopfion
lattices do not exhibit an
equilibrium lattice period. Instead, the system evolves toward states in which the conical spiral or the CF–1 phase (cholesteric fingers of the first type) progressively invade the inter-
soliton regions, thereby preventing crystallization. Our results reveal a regime of attraction without stable long-range order and clarify the interplay between
topology, confinement, and conical-phase frustration in
chiral magnet and
liquid-
crystal thin films.
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Disordered Systems and Neural Networks
Relaxation of the Random Site Coulomb glass Model in Two Dimensions
Preeti Bhandari and Vikas Malik
This study investigates the influence of material density, disorder in onsite energies, and localization length on relaxation dynamics within a two-dimensional random site Coulomb glass model at half-filling. To explore relaxation laws, we calculate the
eigenvalue distribution of the linear dynamical
matrix using mean-field approximations. Our findings indicate that the system initially undergoes rapid relaxation through energy-lowering transitions. The depletion of the single-particle density of states (DOS) near the
Fermi level leads to slow relaxation, with fluctuations diminishing according to a power law. Subsequently, the system adheres to an exponential decay law after a specific period, defined as the relaxation time, which is inversely related to the minimum
eigenvalue of the dynamical
matrix. As the density of the system decreases, the relaxation rate slows down, resulting in an increase in the relaxation time. For a constant density and localization length, an increase in the disorder of onsite energies results in a longer relaxation time. A significant portion of the
eigenvalue spectrum remains unaffected, suggesting that a reduction in localization length concurrent with increased disorder may play an equally vital role in the slow dynamics observed.
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Quantum Gases
Effective scatterings and universal clusters of heteronuclear ultracold mixtures in quasi-low dimensions
Tingting Shi and Xiaoling Cui
We study the effective s-wave scattering of two heteronuclear atoms harmonically confined in quasi-low dimensions, where the atoms have unequal masses and are subject to different confinement frequencies. The resulting effective scattering parameters in low dimensions, including scattering length and effective range, are derived as functions of three-dimensional scattering parameters and confinement strengths. Using realistic Li-K and Li-Cr mixtures as examples, we further compute the binding energies of universal $(1+N)$ clusters in quasi-low dimensions using the effective scattering parameters. Our findings suggest a promising pathway for practically observing universal clusters and their associated many-body phases in low-dimensional ultracold heteronuclear systems.
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Quantum Gases
Scattering and Bound States of Two Heteronuclear Ultracold Atoms in a Quasi-Two-Dimensional Confinement
B. Wang, F. Yang and P. Zhang
We solve the two-body problem of ultracold heteronuclear atoms in a quasi-two-dimensional (quasi-2D) geometry. The quasi-2D confinement is realized by a harmonic trap along the longitudinal ($z$-) direction, with different trap frequencies for the two atoms, as in many current experiments on ultracold heteronuclear gases. As a consequence, the longitudinal center-of-mass (CoM) motion is coupled to the relative motion, which significantly complicates the two-body problem. We solve this problem exactly and derive the 2D scattering length $a_{\rm 2D}$, the 2D effective range parameter $R_{\rm 2D}$, and the bound-state energies, as functions of the $s$-wave scattering length and effective range of the two atoms in free three-dimensional (3D) space. We show that multiple 2D scattering resonances can be induced by the coupling between the longitudinal CoM and relative motion. Around these resonances, $a_{\rm 2D}$ varies rapidly with the 3D scattering parameters, while $R_{\rm 2D}$ is strongly enhanced. Since the effective pairwise interaction in quasi-2D ultracold gases is determined by i.e., the two-body scattering amplitudes and bound-state energies, our results can be used for manipulating the effective 2D interatomic interaction in quasi-2D ultracold heteronuclear gases by tuning the confinement frequencies and the 3D scattering parameters.
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