Abstract
Investigations of quantum and mesoscopic thermodynamics force one to answer two fundamental questions associated with the foundations of statistical mechanics: (i) how does macroscopic irreversibility emerge from microscopic reversibility? (ii) how does the system relax in general to thermal equilibrium with its environment? The answers to these questions rely on a deep understanding of nonequilibrium decoherence dynamics of systems interacting with their environments. Decoherence is also a main concern in developing quantum information technology. In the past two decades, many theoretical and experimental investigations have devoted to this topic, most of these investigations take the Markov (memory-less) approximation. These investigations have provided a partial understanding to several fundamental issues, such as quantum measurement and the quantum-to-classical transition, etc. However, experimental implementations of nanoscale solid-state quantum information processing makes strong non-Markovian memory effects unavoidable, thus rendering their study a pressing and vital issue. Through the rigorous derivation of the exact master equation and a systematical exploration of various non-Markovian processes for a large class of open quantum systems, we find that decoherence manifests unexpected complexities. We demonstrate these general non-Markovian dynamics manifested in different open quantum systems.
| Original language | English |
|---|---|
| Pages (from-to) | 1849-1867 |
| Number of pages | 19 |
| Journal | European Physical Journal: Special Topics |
| Volume | 227 |
| Issue number | 15-16 |
| DOIs | |
| Publication status | Published - 2019 Mar 1 |
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All Science Journal Classification (ASJC) codes
- Materials Science(all)
- Physics and Astronomy(all)
- Physical and Theoretical Chemistry
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Exact master equation and general non-Markovian dynamics in open quantum systems. / Zhang, Wei Min.
In: European Physical Journal: Special Topics, Vol. 227, No. 15-16, 01.03.2019, p. 1849-1867.Research output: Contribution to journal › Review article
TY - JOUR
T1 - Exact master equation and general non-Markovian dynamics in open quantum systems
AU - Zhang, Wei Min
PY - 2019/3/1
Y1 - 2019/3/1
N2 - Investigations of quantum and mesoscopic thermodynamics force one to answer two fundamental questions associated with the foundations of statistical mechanics: (i) how does macroscopic irreversibility emerge from microscopic reversibility? (ii) how does the system relax in general to thermal equilibrium with its environment? The answers to these questions rely on a deep understanding of nonequilibrium decoherence dynamics of systems interacting with their environments. Decoherence is also a main concern in developing quantum information technology. In the past two decades, many theoretical and experimental investigations have devoted to this topic, most of these investigations take the Markov (memory-less) approximation. These investigations have provided a partial understanding to several fundamental issues, such as quantum measurement and the quantum-to-classical transition, etc. However, experimental implementations of nanoscale solid-state quantum information processing makes strong non-Markovian memory effects unavoidable, thus rendering their study a pressing and vital issue. Through the rigorous derivation of the exact master equation and a systematical exploration of various non-Markovian processes for a large class of open quantum systems, we find that decoherence manifests unexpected complexities. We demonstrate these general non-Markovian dynamics manifested in different open quantum systems.
AB - Investigations of quantum and mesoscopic thermodynamics force one to answer two fundamental questions associated with the foundations of statistical mechanics: (i) how does macroscopic irreversibility emerge from microscopic reversibility? (ii) how does the system relax in general to thermal equilibrium with its environment? The answers to these questions rely on a deep understanding of nonequilibrium decoherence dynamics of systems interacting with their environments. Decoherence is also a main concern in developing quantum information technology. In the past two decades, many theoretical and experimental investigations have devoted to this topic, most of these investigations take the Markov (memory-less) approximation. These investigations have provided a partial understanding to several fundamental issues, such as quantum measurement and the quantum-to-classical transition, etc. However, experimental implementations of nanoscale solid-state quantum information processing makes strong non-Markovian memory effects unavoidable, thus rendering their study a pressing and vital issue. Through the rigorous derivation of the exact master equation and a systematical exploration of various non-Markovian processes for a large class of open quantum systems, we find that decoherence manifests unexpected complexities. We demonstrate these general non-Markovian dynamics manifested in different open quantum systems.
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UR - http://www.scopus.com/inward/citedby.url?scp=85060192634&partnerID=8YFLogxK
U2 - 10.1140/epjst/e2018-800047-4
DO - 10.1140/epjst/e2018-800047-4
M3 - Review article
AN - SCOPUS:85060192634
VL - 227
SP - 1849
EP - 1867
JO - European Physical Journal: Special Topics
JF - European Physical Journal: Special Topics
SN - 1951-6355
IS - 15-16
ER -