Wave-function approach to Master equations for quantum transport and measurement

This paper presents a comprehensive review of the wave-function approach for derivation of the numberresolved Master equations, used for description of transport and measurement in mesoscopic systems. The review contains important amendments, clarifying subtle points in derivation of the Master equa...

Full description

Saved in:
Bibliographic Details
Published inFrontiers of physics Vol. 12; no. 4; pp. 1 - 28
Main Author Gurvitz, Shmuel
Format Journal Article
LanguageEnglish
Published Beijing Higher Education Press 01.08.2017
Springer Nature B.V
Subjects
Astronomy
Astrophysics and Cosmology
Atomic
Condensed Matter Physics
continuous measurement
Derivation
Laplace transforms
Master equation
Mathematical analysis
mesoscopic systems
Molecular
Optical and Plasma Physics
Particle and Nuclear Physics
Physics
Physics and Astronomy
Quantum dots
Quantum transport
Recent Progress on Quantum Transport in Nano and Mesoscopic Systems (Eds. Qing-Feng Sun
Review Article
Sensors
Zhen-Hua Qiao & Xin-Qi Li
mesoscopic systems
Master equation
quantum transport
continuous measurement
Online AccessGet full text
ISSN2095-0462
2095-0470
DOI10.1007/s11467-016-0638-6

Cover

More Information
Summary:This paper presents a comprehensive review of the wave-function approach for derivation of the numberresolved Master equations, used for description of transport and measurement in mesoscopic systems. The review contains important amendments, clarifying subtle points in derivation of the Master equations and their validity. This completes the earlier works on the subject. It is demonstrated that the derivation does not assume weak coupling with the environment and reservoirs, but needs only high bias condition. This condition is very essential for validity of the Markovian Master equations, widely used for a phenomenological description of different physical processes.
Bibliography:This paper presents a comprehensive review of the wave-flmction approach for derivation of the number- resolved Master equations, used for description of transport and measurement in mesoseopie systems. The review contains important amendments, clarifying subtle points in derivation of the Master equa- tions and their validity. This completes the earlier works on the subject. It is demonstrated that the derivation does not assume weak coupling with the environment and reservoirs, but needs only high bias condition. This condition is very essential for validity of the Markovian Master equations, widely used for a phenomenological description of different physical processes.
mesoscopic systems, quantum transport, Master equation, continuous measurement
11-5994/O4
Document accepted on :2016-11-10
mesoscopic systems
Master equation
quantum transport
continuous measurement
Document received on :2016-10-30
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2095-0462
2095-0470
DOI:10.1007/s11467-016-0638-6