近日，法国洛林大学的Dragi Karevski研究小组与美国罗切斯特大学的Gabriel T. Landi合作并取得一项新进展。经过不懈努力，他们探究了量子气体在非均匀增益和伴随失相的损耗过程下的Wigner动力学。相关研究成果已于2023年5月22日在国际知名学术期刊《物理评论A》上发表。

该研究团队提出了一种基于Wigner函数的方法，用于描述费米子和玻色子的开放量子多体系统中粒子密度的演化，包括失相的影响。研究人员特别关注与Lindblad浴相耦合的非相互作用粒子链。这些耗散过程由线性和二次跃迁算符描述，并受到非均匀耦合的调制。通过半经典方法，他们找到了控制Wigner函数演化的微分方程，在某些特殊情况下可以以闭合形式求解。

此外，他们还验证了Wigner方法在不同场景（例如，高斯跃迁速率）中的准确性，用经典准粒子的形式描述了密度演化和输运现象。

 附：英文原文

Title: Wigner dynamics for quantum gases under inhomogeneous gain and loss processes with dephasing

Author: Michele Coppola, Gabriel T. Landi, Dragi Karevski

Issue&Volume: 2023/05/22

Abstract: We present a Wigner function-based approach for the particle density evolution in fermionic and bosonic open quantum many-body systems, including the effects of dephasing. In particular, we focus on chains of noninteracting particles coupled to Lindblad baths. The dissipative processes, described by linear and quadratic jump operators, are modulated by inhomogeneous couplings. Following a semiclassical approach, we find the differential equation governing the Wigner function evolution, which can be solved in closed form in some particular cases. We check the accuracy of the Wigner approach in different scenarios (i.e., Gaussian jump rates), describing the density evolution and the transport phenomena in terms of classical quasiparticles.

DOI: 10.1103/PhysRevA.107.052213

Source: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.107.052213