Open Quantum Systems

Chon Fai Kam, Wei Min Zhang, Da Hsuan Feng

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

By definition, all realistic quantum systems are open systems, and their dynamics are governed by the master equation. The master equation for open quantum systems plays the same role as the Newtonian equation for classical mechanics, the Maxwell equation for electrodynamics, and the Schrodinger equation for quantum mechanics. It is with this as preamble that the theory of open quantum systems is the foundation for the currently developing quantum technology. However, before the twenty-first century, there exists only one exact master equation, which is the quantum Brownian model master equation. In this case, the system is modeled as a harmonic oscillator which is linearly coupled to the many harmonic oscillators. In the current chapter, leveraging the coherent states path integrals, one is able to obtain the exact master equations for fermionic, bosonic, as well as topological systems, respectively. We shall focus on the coherent states formalism of how to derive the exact master equation for bosonic and fermionic open systems. We shall also discuss the associated general non-Markovian dynamics of open quantum system and their applications to quantum transport and quantum thermodynamics.

Original languageEnglish
Title of host publicationLecture Notes in Physics
PublisherSpringer Science and Business Media Deutschland GmbH
Pages281-330
Number of pages50
DOIs
Publication statusPublished - 2023

Publication series

NameLecture Notes in Physics
Volume1011
ISSN (Print)0075-8450
ISSN (Electronic)1616-6361

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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