具有非对角系统-浴耦合的开放量子系统的路径积分形式主义

IF 2.4 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Ruofan Chen
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引用次数: 0

摘要

量子开放系统的大多数路径积分表达式都采用对角系统-浴耦合,其中影响函数是标量值轨迹的函数。如果只考虑单浴,这种形式主义就足够了。然而,当存在多个浴槽时,就需要考虑非对角系统-浴槽耦合。在这种情况下,使用抽象柳维利方法,可以得到算子值轨迹的影响函数。影响函数的值本身也变成了一个超算子,而不是普通的标量,其含义乍一看很模糊,它与影响函数的传统理解之间的联系需要格外仔细地考虑。在本文中,我们基于直接的特罗特-铃木拆分法,提出了另一种具体的超算子值影响函数的推导,它可以为解释超算子值影响函数提供清晰的图景。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Path integral formalism of open quantum systems with non-diagonal system-bath coupling
Most path integral expressions for quantum open systems are formulated with diagonal system-bath coupling, where the influence functional is a functional of scalar-valued trajectories. This formalism is enough if only a single bath is under consideration. However, when multiple baths are present, non-diagonal system-bath couplings need to be taken into consideration. In such a situation, using an abstract Liouvillian method, the influence functional can be obtained as a functional of operator-valued trajectories. The value of the influence functional itself also becomes a superoperator rather than an ordinary scalar, whose meaning is ambiguous at first glance and its connection to the conventional understanding of the influence functional needs extra careful consideration. In this article, we present another concrete derivation of the superoperator-valued influence functional based on the straightforward Trotter–Suzuki splitting, which can provide a clear picture to interpret the superoperator-valued influence functional.
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来源期刊
Communications in Theoretical Physics
Communications in Theoretical Physics 物理-物理:综合
CiteScore
5.20
自引率
3.20%
发文量
6110
审稿时长
4.2 months
期刊介绍: Communications in Theoretical Physics is devoted to reporting important new developments in the area of theoretical physics. Papers cover the fields of: mathematical physics quantum physics and quantum information particle physics and quantum field theory nuclear physics gravitation theory, astrophysics and cosmology atomic, molecular, optics (AMO) and plasma physics, chemical physics statistical physics, soft matter and biophysics condensed matter theory others Certain new interdisciplinary subjects are also incorporated.
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