Article
Materials Science, Multidisciplinary
Qing-Wei Wang
Summary: The dynamical correlations of hard-core anyons in one-dimensional lattices are studied in this paper. Exact expressions for the Green's function, the spectral function, and the out-of-time-ordered correlators are obtained. Three main singularity lines are observed in the anyonic spectral function, which correspond to a peak in the momentum distribution function and a power-law singularity in the local spectral function. The anyonic statistics also induce spatial asymmetry in the correlations. Light-cone dynamics are observed in the information spreading characterized by the out-of-time-ordered correlators.
Article
Materials Science, Multidisciplinary
Patrycja Lydzba, Janez Bonca
Summary: The study investigates the unitary time evolution of a symmetry-broken state in a finite system of interacting hard-core bosons, which can be mapped onto the XXZ Heisenberg chain. A spatially homogeneous and time-dependent vector potential is introduced to mimic a short laser pulse, allowing control over the onset of charge density wave order. Nonthermal long-lived states with nonzero charge density wave order, translated by one lattice site, are found to have lifetimes significantly longer than typical times given by the system parameters, although they are suppressed by integrability-breaking perturbations. The existence of these long-lived nonthermal states in the thermodynamic limit is speculated based on the findings.
Article
Multidisciplinary Sciences
Hyesung Jo, Dae Han Wi, Taegu Lee, Yongmin Kwon, Chaehwa Jeong, Juhyeok Lee, Hionsuck Baik, Alexander J. Pattison, Wolfgang Theis, Colin Ophus, Peter Ercius, Yea-Lee Lee, Seunghwa Ryu, Sang Woo Han, Yongsoo Yang
Summary: This study determines the 3D atomic structure of Pd@Pt core-shell nanoparticles and reveals the surface-interface strain relations. The strain distribution shows shape-dependent anisotropy, and the surface oxygen reduction reaction activity is predicted. These findings have important implications for understanding the structure-property relationships in strain-engineered core-shell systems and exerting direct control over catalytic properties.
NATURE COMMUNICATIONS
(2022)
Article
Optics
Manuele Tettamanti, Alberto Parola
Summary: The study investigates the existence and stability of solitonic states in one-dimensional repulsive Bose-Einstein condensates by considering the limit of infinite repulsion. A class of stationary, shape-invariant states propagating at constant velocity are found and compared to the known solution of the Gross-Pitaevskii equation. The results show that typical nonlinear features can be recovered in a purely linear theory when the full many-body physics is correctly taken into account.
Article
Chemistry, Physical
Asweel Ahmed A. Jaleel, Dipanjan Mandal, R. Rajesh
Summary: By utilizing Monte Carlo simulations, the phase diagram of the hard core lattice gas is obtained, showing that there is only one phase transition present and the hexatic phase is absent.
JOURNAL OF CHEMICAL PHYSICS
(2021)
Article
Polymer Science
Qiang Wang
Summary: In this study, the correlation effects on the structural and thermodynamic properties of hard- and soft-core polymer models were compared using the polymer reference interaction site model (PRISM) theory. Different behaviors of the soft-core models were observed at large invariant degree of polymerization (IDP) depending on how IDP is varied. Additionally, an efficient numerical approach was proposed to accurately solve the PRISM theory for chain lengths as large as 10(6).
Article
Physics, Fluids & Plasmas
P. L. Garrido
Summary: We study the behavior of stationary nonequilibrium two-body correlation functions for diffusive systems with equilibrium reference states. We describe the dynamic of the system using coupled Langevin equations with white noises. We decompose the correlations into known local equilibrium part and a nonequilibrium behavior, and solve the differential equations for the nonequilibrium part through a perturbative expansion. The results show that fluctuations are dominated by local equilibrium up to the second order in the perturbative expansion around the equilibrium state.
Article
Physics, Applied
Xiaotong Lu, Jingjing Xia, Benquan Lu, Yebing Wang, Tao Wang, Hong Chang
Summary: In this paper, the authors demonstrate in situ synchronous frequency comparison between distinct regions in a one-dimensional optical lattice. This method allows for direct and precise determination of the absolute atom number and measurement of density shift. The assumption of identical density shift coefficient over the whole lattice is found to be inconsistent.
APPLIED PHYSICS LETTERS
(2022)
Article
Materials Science, Multidisciplinary
Grace M. Sommers, Benedikt Placke, Roderich Moessner, S. L. Sondhi
Summary: A system of hard spheres is controlled by density, with low density phase being liquid and high density phase being crystalline. Hard-core spin models, replacing translational degrees of freedom with orientational degrees of lattice spins, divide configurations into allowed and disallowed sectors. Varying exclusion and inclusion angles leads to Kosterlitz-Thouless phase transition between disordered and ordered phases with quasi-long-ranged order.
Review
Physics, Multidisciplinary
P. M. Centres, S. J. Manzi, V. D. Pereyra, S. Bustingorry
Summary: This paper investigates the ballistic file diffusion of hard disks and analyzes the dynamics as a function of particle size, system size, and number of particles using a numerical scheme. The mean-square displacement exhibits three regimes and their crossover times, which are analogous to those observed in the single-file diffusion problem.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2023)
Article
Materials Science, Multidisciplinary
Noam Schiller, Yuval Oreg, Kyrylo Snizhko
Summary: Fractional quantum Hall quasiparticles are characterized by electric charge and scaling dimension. The scaling dimension determines the anyonic statistics for simple states, while for more complex states, it helps distinguish different theoretical descriptions. A scheme for extracting the scaling dimension from tunneling noise is proposed.
Article
Physics, Multidisciplinary
Stefano Scopa, Alexandre Krajenbrink, Pasquale Calabrese, Jerome Dubail
Summary: The non-equilibrium dynamics of a one-dimensional quantum gas of hard-core particles is studied, where the system is released at t=0 and expands, leading to entanglement entropy growth. The investigation is conducted in the hydrodynamic regime using tools like semi-classical Wigner function approach and quantum fluctuating hydrodynamics, linking entanglement entropy to correlation functions of chiral twist-fields in the conformal field theory. Predictions for entanglement evolution align with and extend previous results based on numerical calculations and heuristic arguments.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Physics, Multidisciplinary
Xiao Zhang, Boxue Zhang, Haydar Sahin, Zhuo Bin Siu, S. M. Rafi-Ul-Islam, Jian Feng Kong, Bing Shen, Mansoor B. A. Jalil, Ronny Thomale, Ching Hua Lee
Summary: The qualitative nature of physical systems can be predicted from their scaling relationship with system size. In a two-dimensional LC circuit network, there is a profound deviation from logarithmic scaling in impedance, which depends sensitively on the number of nodes N and is robust against perturbations. This anomalous impedance behavior is due to a generalized resonance condition and exhibits a fractal-like structure of impedance peaks for different N. It is not explained by continuum theory or regular waveguide resonant behavior.
COMMUNICATIONS PHYSICS
(2023)
Article
Chemistry, Multidisciplinary
Amelia Trematerra, Antonella Bevilacqua, Gino Iannace
Summary: The diffusion of mechanical ventilation systems has rapidly increased worldwide due to climate change. These systems are primarily used in summer to cope with high temperatures. This paper explores the use of metamaterials to create attenuation filters for mechanical ventilation systems in order to reduce noise generated by the fan blades. A three-dimensional reticular structure made of spheres was studied in various configurations, and sound attenuations were measured at specific octaves. Overall, the highest sound attenuation peaks occurred between 4 kHz and 8 kHz, which is expected to mitigate the tonal noise produced by fans. However, these findings should be interpreted in the context of laboratory conditions and potential polarization effects from sound wave reflection at the boundaries.
APPLIED SCIENCES-BASEL
(2023)
Article
Physics, Multidisciplinary
Marcin Plodzien, Maciej Lewenstein, Emilia Witkowska, Jan Chwedenczuk
Summary: We demonstrate that one-axis twisting (OAT) is a powerful source of many-body Bell correlations for creating nonclassical states of bosonic qubits. We develop an analytical and universal treatment that allows us to identify the critical time for the emergence of Bell correlations and predict their depth at subsequent times. Our findings are illustrated using a highly nontrivial example of OAT dynamics generated with the Bose-Hubbard model.
PHYSICAL REVIEW LETTERS
(2022)
Article
Multidisciplinary Sciences
Neel Malvania, Yicheng Zhang, Yuan Le, Jerome Dubail, Marcos Rigol, David S. Weiss
Summary: The theory of generalized hydrodynamics (GHD) shows promise in efficiently simulating nearly integrable systems, as demonstrated in experiments with ultracold 1D Bose gases. The results indicate that GHD can accurately describe the quantum dynamics of such systems, even with low particle numbers and rapid density changes.
Article
Physics, Multidisciplinary
Asmi Haldar, Krishnanand Mallayya, Markus Heyl, Frank Pollmann, Marcos Rigol, Arnab Das
Summary: Quantum phase transitions are important for understanding the distinct properties exhibited by matter at very low temperatures upon small changes in microscopic parameters. Locating these transitions accurately is challenging, but a new method involving sudden quenches to force systems out of equilibrium shows promise. The transitions leave distinctive features in intermediate-time dynamics and equilibrated local observables, with effective temperature showing minima near quantum critical points. Further research will focus on testing these results in experiments with Rydberg atoms and exploring nonequilibrium signatures of quantum critical points in models with topological transitions.
Article
Multidisciplinary Sciences
Yuan Le, Yicheng Zhang, Sarang Gopalakrishnan, Marcos Rigol, David S. Weiss
Summary: Hydrodynamics accurately describe relativistic heavy-ion collision experiments well before local thermal equilibrium is established. This unexpectedly rapid onset of hydrodynamics, called hydrodynamization, occurs when an interacting quantum system is quenched. During hydrodynamization, energy gets redistributed across different energy scales. Local prethermalization, which is local equilibration among momentum modes, can be observed after hydrodynamization. The timescale for local prethermalization has not been studied experimentally and existing theories cannot quantitatively model it.
Correction
Multidisciplinary Sciences
Yuan Le, Yicheng Zhang, Sarang Gopalakrishnan, Marcos Rigol, David S. Weiss
Article
Physics, Multidisciplinary
Patrycja Lydzba, Marcin Mierzejewski, Marcos Rigol, Lev Vidmar
Summary: Equilibration and agreement with the predictions of the Gibbs (generalized Gibbs) ensemble are required for thermalization (generalized thermalization) in nonintegrable (integrable) quantum systems. We provide evidence that observables exhibiting eigenstate thermalization in single-particle sectors equilibrate in many-body sectors of quantum-chaotic quadratic models. However, the same observables do not exhibit eigenstate thermalization in many-body sectors, indicating the need for the generalized Gibbs ensemble.
PHYSICAL REVIEW LETTERS
(2023)
Article
Physics, Fluids & Plasmas
M. Kliczkowski, R. Swietek, L. Vidmar, M. Rigol
Summary: This article investigates the agreement between the average entanglement entropy of midspectrum eigenstates of quantum-chaotic interacting Hamiltonians and that of random pure states. It is found that the leading terms are identical, but the differences in subleading terms remain unclear. State-of-the-art full exact diagonalization calculations are conducted on clean spin-1/2 XYZ and XXZ chains to determine the maximally chaotic regime. The study reveals that the negative O(1) correction for the average entanglement entropy is slightly larger than that predicted for random pure states, and a simple expression is derived to describe the ν dependence of the O(1) deviation.
Article
Optics
Kuan-Yu Li, Yicheng Zhang, Kangning Yang, Kuan-Yu Lin, Sarang Gopalakrishnan, Marcos Rigol, Benjamin L. Lev
Summary: We investigate the impact of tunable integrability-breaking dipole-dipole interactions on the equilibrium states of 1D Bose gases of dysprosium at low temperatures. Our experimental results show that in the strongly correlated Tonks-Girardeau regime, rapidity and momentum distributions are unaffected by the dipolar interactions. However, significant changes occur when the strength of the contact interactions is decreased. We propose a model that captures the main experimental observations by considering the system as an array of 1D gases with only contact interactions, dressed by the contribution of the short-range part of the dipolar interactions.
Article
Materials Science, Multidisciplinary
Xiaodong Jin, Yuhai Liu, Rubem Mondaini, Marcos Rigol
Summary: This study investigates the superconductor-insulator transition (SIT) in the attractive honeycomb Hubbard model with a staggered potential. The results show that the lowest-energy charge excitations in the SIT are bosonic, but transition to fermionic as the staggered potential strength increases. The study also reveals that the SIT belongs to the 3D-XY universality class, similar to its square lattice counterpart.
Article
Physics, Fluids & Plasmas
Yicheng Zhang, Lev Vidmar, Marcos Rigol
Summary: This study investigates the statistical properties of off-diagonal matrix elements of observables in the energy eigenstates of integrable quantum systems. It is found that these matrix elements are dense in the spin-1/2 XXZ chain, while being sparse in noninteracting systems. The distribution of off-diagonal matrix elements in the quasimomentum occupation of hard-core bosons in one dimension is well described by generalized Gamma distributions, irrespective of translational invariance but not in the presence of localization. Additionally, the off-diagonal matrix elements of observables in the spin-1/2 XXZ model can be well described by a generalized Gamma distribution.
Article
Quantum Science & Technology
Eugenio Bianchi, Lucas Hackl, Mario Kieburg, Marcos Rigol, Lev Vidmar
Summary: The entanglement entropy of subsystems of typical eigenstates of quantum many-body Hamiltonians can serve as a diagnostic of quantum chaos and integrability. This tutorial provides a pedagogical introduction to the entanglement entropy of typical pure states and typical pure Gaussian states, highlighting the differences between them. It also discusses the effect of particle-number conservation on the entanglement entropy.
Article
Materials Science, Multidisciplinary
Patrycja Lydzba, Yicheng Zhang, Marcos Rigol, Lev Vidmar
Summary: The matrix elements of local and nonlocal operators in the single-particle eigenstates of two quantum-chaotic quadratic Hamiltonians exhibit eigenstate thermalization for normalized observables. Specifically, the diagonal matrix elements show vanishing eigenstate-to-eigenstate fluctuations, with their variance proportional to the inverse Hilbert space dimension. The ratio between the variance of diagonal and off-diagonal matrix elements is 2, as predicted by random matrix theory.
Article
Materials Science, Multidisciplinary
Tyler LeBlond, Dries Sels, Anatoli Polkovnikov, Marcos Rigol
Summary: Through the study of two one-dimensional lattice models, it is found that the onset of quantum chaos at infinite temperature exhibits universal behavior, with the onset marked by maxima of typical fidelity susceptibilities scaling with the square of the inverse average level spacing. The strength of integrability- or localization-breaking perturbations decreases with increasing system size.
Article
Materials Science, Multidisciplinary
Krishnanand Mallayya, Marcos Rigol
Summary: In weakly perturbed nonintegrable systems, generic observables exhibit a two-step relaxation process with a fast prethermal dynamics followed by a slow thermalizing dynamics characterized by a rate proportional to g(2). During this slow thermalizing process, observables can be described using projected diagonal and Gibbs ensembles.
Article
Optics
Yicheng Zhang, Lev Vidmar, Marcos Rigol
Summary: A new emergent eigenstate construction method is discussed, allowing the construction of new local Hamiltonians, of which one eigenstate captures the entire generalized thermalization process following a global quantum quench.
Article
Materials Science, Multidisciplinary
Patrycja Lydzba, Marcos Rigol, Lev Vidmar
Summary: The study presents an analytic expression for the entanglement entropy of many-body eigenstates of random quadratic Hamiltonians, and explores its applicability to local Hamiltonians and those without particle-number conservation. The results provide new theoretical support and extensions for understanding entanglement entropy in quantum systems.
