TY - CHAP
T1 - Open Quantum Systems
AU - Kam, Chon Fai
AU - Zhang, Wei Min
AU - Feng, Da Hsuan
N1 - Publisher Copyright:
© 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.
PY - 2023
Y1 - 2023
N2 - 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.
AB - 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.
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U2 - 10.1007/978-3-031-20766-2_13
DO - 10.1007/978-3-031-20766-2_13
M3 - Chapter
AN - SCOPUS:85159961158
T3 - Lecture Notes in Physics
SP - 281
EP - 330
BT - Lecture Notes in Physics
PB - Springer Science and Business Media Deutschland GmbH
ER -