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We present a systematic approach for the semiclassical treatment of many-body dynamics of interacting, open spin systems. Our approach overcomes some of the shortcomings of the recently developed discrete truncated Wigner approximation…

量子物理 · 物理学 2022-12-01 Christopher D. Mink , David Petrosyan , Michael Fleischhauer

We present a general method by which linear quantum Hamiltonian dynamics with exponentially many degrees of freedom is replaced by approximate classical nonlinear dynamics with the number of degrees of freedom (phase space dimensionality)…

量子物理 · 物理学 2018-08-01 Jonathan Wurtz , Anatoli Polkovnikov , Dries Sels

Nonequilibrium dynamics of highly-controlled quantum systems is a challenging issue in statistical physics and quantum many-body physics, relevant to recent experimental developments of analog and digital quantum simulations. In this work,…

量子气体 · 物理学 2025-05-21 Kazuma Nagao , Seiji Yunoki

The semi-classical discrete truncated Wigner approximation (dTWA) has recently been proposed as a simulation method for spin-$1/2$ systems. While it appears to provide a powerful approach which shows promising results in higher dimensions…

The discrete truncated Wigner approximation (DTWA) is a powerful tool for analyzing dynamics of quantum spin systems. Since the DTWA includes the leading-order quantum corrections to a mean-field approximation, it is naturally expected that…

量子气体 · 物理学 2021-01-27 Masaya Kunimi , Kazuma Nagao , Shimpei Goto , Ippei Danshita

Connecting short time microscopic dynamics with long time hydrodynamics in strongly correlated quantum systems is one of the outstanding questions. In particular, it is very difficult to determine various hydrodynamic coefficients like the…

统计力学 · 物理学 2020-05-20 Jonathan Wurtz , Anatoli Polkovnikov

Interacting quantum spin models are remarkably useful for describing different types of physical, chemical, and biological systems. Significant understanding of their equilibrium properties has been achieved to date, especially for the case…

量子物理 · 物理学 2015-06-16 Johannes Schachenmayer , Alexander Pikovski , Ana Maria Rey

We numerically study out-of-equilibrium dynamics in a family of Heisenberg models with $1/r^6$ power-law interactions and positional disorder. Using the semi-classical discrete truncated Wigner approximation (dTWA) method, we investigate…

We propose a method based on the discrete truncated Wigner approximation (DTWA) for computing out-of-time-order correlators. This method is applied to long-range interacting quantum spin systems where the interactions decay as a power law…

统计力学 · 物理学 2025-07-21 Tatsuhiko Shirai , Takashi Mori

We present a semiclassical phase-space method to calculate thermal and ground states of large interacting spin systems. To this end, we extend the recently developed truncated Wigner approximation for spins (TWA) to the imaginary time,…

量子物理 · 物理学 2026-03-05 Tom Schlegel , Dennis Breu , Michael Fleischhauer

The dynamics of disordered two-dimensional systems is much less understood than the dynamics of disordered chains, mainly due to the lack of appropriate numerical methods. We demonstrate that a single-trajectory version of the fermionic…

统计力学 · 物理学 2024-09-20 Łukasz Iwanek , Marcin Mierzejewski , Anatoli Polkovnikov , Dries Sels , Adam S. Sajna

We develop a truncated Hamiltonian method to investigate the dynamics of the $(1+1)d~\phi^4$ theory following quantum quenches. The results are compared to two different semi-classical approaches, the self-consistent Gaussian approximation…

统计力学 · 物理学 2022-01-12 D. Szász-Schagrin , I. Lovas , G. Takács

We benchmark the discrete truncated Wigner approximation (DTWA) and Neural quantum states (NQS) based on restricted Boltzmann-like machines with the exact excitation and correlation dynamics in a chain of ten Rydberg atoms. The initial…

量子气体 · 物理学 2024-03-07 Vighnesh Naik , Varna Shenoy , Weibin Li , Rejish Nath

We introduce the parafermionic truncated Wigner approximation ($p$TWA), a semiclassical phase-space framework for simulating the nonequilibrium dynamics of lattice systems with fractional exchange statistics. The method extends truncated…

强关联电子 · 物理学 2026-04-01 Javad Vahedi , Martin Garttner

An accurate description of the nonequilibrium dynamics of systems with coupled spin and bosonic degrees of freedom remains theoretically challenging, especially for large system sizes and in higher than one dimension. Phase space methods…

量子气体 · 物理学 2017-09-13 A. Piñeiro Orioli , A. Safavi-Naini , M. L. Wall , A. M. Rey

Using a recently developed extension of the time-dependent variational principle for matrix product states, we evaluate the dynamics of 2D power-law interacting XXZ models, implementable in a variety of state-of-the-art experimental…

量子物理 · 物理学 2023-11-16 Sean R. Muleady , Mingru Yang , Steven R. White , Ana Maria Rey

Although highly successful, the Truncated Wigner Approximation (TWA) does not account for genuine many-body quantum interference between different solutions of the mean-field equations of a bosonic many-body (MB) system. This renders the…

量子气体 · 物理学 2022-09-07 Quirin Hummel , Peter Schlagheck

We compare the continuous and discrete truncated Wigner approximations of various spin models' dynamics to exact analytical and numerical solutions. We account for all components of spin-spin correlations on equal footing, facilitated by a…

量子物理 · 物理学 2019-04-29 Bhuvanesh Sundar , Kenneth C Wang , Kaden R A Hazzard

We theoretically study the propagation of an interacting Bose-Einstein condensate in a two-dimensional disorder potential, following the principle of an atom laser. The constructive interference between time-reversed scattering paths gives…

量子气体 · 物理学 2021-03-31 Renaud Chrétien , Peter Schlagheck

We apply the semi-classical limit of the generalized $SO(3)$ map for representation of variable-spin systems in a four-dimensional symplectic manifold and approximate their evolution terms of effective classical dynamics on $T^{\ast…

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