量子和经典体制之间的细微差别。

IF 2.7 2区 数学 Q1 MATHEMATICS, APPLIED
Chaos Pub Date : 2025-04-01 DOI:10.1063/5.0237598
Karin Wittmann Wilsmann, Erick R Castro, Itzhak Roditi, Angela Foerster, Jorge G Hirsch
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引用次数: 0

摘要

本研究探索了可积混沌玻色子多体量子系统的半经典极限,为其行为提供了细致入微的见解。我们研究了三阱势中不同玻色子相互作用机制的经典量子对应,范围从可积到自捕获机制,包括混沌机制。经典轨迹的相空间平均投影与Husimi分布的相空间平均投影之间的密切相似性唤起了特征态Wigner函数的均匀半经典凝聚原理。值得注意的是,最终的图形也呈现出让人联想到杰森·加拉(Jason Gallas)的“虾”形状。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Subtle nuances between quantum and classical regimes.

This study explores the semiclassical limit of an integrable-chaotic bosonic many-body quantum system, providing nuanced insights into its behavior. We examine classical-quantum correspondences across different interaction regimes of bosons in a triple-well potential, ranging from the integrable to the self-trapping regime, and including the chaotic one. The close resemblance between the phase-space mean projections of classical trajectories and those of Husimi distributions evokes the principle of uniform semiclassical condensation of Wigner functions of eigenstates. Notably, the resulting figures also exhibit patterns reminiscent of Jason Gallas's "shrimp" shapes.

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来源期刊
Chaos
Chaos 物理-物理:数学物理
CiteScore
5.20
自引率
13.80%
发文量
448
审稿时长
2.3 months
期刊介绍: Chaos: An Interdisciplinary Journal of Nonlinear Science is a peer-reviewed journal devoted to increasing the understanding of nonlinear phenomena and describing the manifestations in a manner comprehensible to researchers from a broad spectrum of disciplines.
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