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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

We put forward a user-friendly framework of the truncated Wigner approximation (TWA) for dissipative quantum many-body systems. Our approach is computationally affordable and it features a straightforward implementation. The leverage of the…

量子物理 · 物理学 2025-09-11 Hossein Hosseinabadi , Oksana Chelpanova , Jamir Marino

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…

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

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 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

We develop a new approach for efficient and scalable simulations of measurement and control of quantum systems built upon existing phase-space methods, namely the Truncated Wigner Approximation (TWA). We benchmark against existing…

量子物理 · 物理学 2024-09-04 Kaiwen Zhu , Zain Mehdi , Joseph J. Hope , Simon A. Haine

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…

We study the phase-space representation of dynamics of bosons in the semiclassical regime where the occupation number of the modes is large. To this end, we employ the van Vleck-Gutzwiller propagator to obtain an approximation for the…

量子气体 · 物理学 2019-09-04 Ranchu Mathew , Eite Tiesinga

Quench dynamics in a two-dimensional system of interacting fermions is analyzed within the semiclassical truncated Wigner approximation (TWA). The models with short-range and long-range interactions are considered. We show that in the…

量子气体 · 物理学 2021-01-01 Adam S. Sajna , Anatoli Polkovnikov

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

Although highly successful, the truncated Wigner approximation (TWA) leaves out many-body quantum interference between mean-field Gross-Pitaevskii solutions as well as other quantum effects, and is therefore essentially classical. Turned…

量子气体 · 物理学 2019-11-27 Peter Schlagheck , Denis Ullmo , Juan Diego Urbina , Klaus Richter , Steven Tomsovic

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

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 consider quasi-stationary scattering of interacting bosonic matter waves in one-dimensional waveguides, as they arise in guided atom lasers. We show how the truncated Wigner (tW) method, which corresponds to the semiclassical description…

量子气体 · 物理学 2016-10-17 Julien Dujardin , Thomas Engl , Juan Diego Urbina , Peter Schlagheck

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 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

Interfaces of light and matter serve as a platform for exciting many-body physics and photonic quantum technologies. Due to the recent experimental realization of atomic arrays at sub-wavelength spacings, collective interaction effects such…

量子物理 · 物理学 2023-12-13 Christopher D. Mink , Michael Fleischhauer

The strictly classical propagation of an initial Wigner function, referred to as TWA or LSC-IVR, is considered to provide approximate averages, despite not being a true Wigner function: it does not represent a positive operator. We here…

量子物理 · 物理学 2024-06-28 Kelvin Titimbo , Gabriel M. Lando , Alfredo M. Ozorio de Almeida

The truncated Wigner approximation (TWA) enables us to investigate bosonic quantum many-body dynamics, including open quantum systems described by the Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) equation. In the TWA, the Weyl-Wigner…

统计力学 · 物理学 2025-05-30 Toma Yoneya , Kazuya Fujimoto , Yuki Kawaguchi
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