Number-resolved master equation approach to quantum measurement and quantum transport

doi:10.1007/s11467-016-0539-8

Front. Phys.

2016, Vol. 11

Issue (4) : 110307 https://doi.org/10.1007/s11467-016-0539-8

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Number-resolved master equation approach to quantum measurement and quantum transport

Xin-Qi Li(

)

Center for Advanced Quantum Studies and Department of Physics, Beijing Normal University, Beijing 100875, China

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Abstract

In addition to the well-known Landauer–Büttiker scattering theory and the nonequilibrium Green’s function technique for mesoscopic transports, an alternative (and very useful) scheme is quantum master equation approach. In this article, we review the particle-number (n)-resolved master equation (n-ME) approach and its systematic applications in quantum measurement and quantum transport problems. The n-ME contains rich dynamical information, allowing efficient study of topics such as shot noise and full counting statistics analysis. Moreover, we also review a newly developed master equation approach (and its n-resolved version) under self-consistent Born approximation. The application potential of this new approach is critically examined via its ability to recover the exact results for noninteracting systems under arbitrary voltage and in presence of strong quantum interference, and the challenging non-equilibrium Kondo effect.

Keywords quantum transport quantum measurement master equation approach

Corresponding Author(s): Xin-Qi Li

Online First Date: 26 April 2016 Issue Date: 08 June 2016

Cite this article:

Xin-Qi Li. Number-resolved master equation approach to quantum measurement and quantum transport[J]. Front. Phys. , 2016, 11(4): 110307.

URL:

https://academic.hep.com.cn/fop/EN/10.1007/s11467-016-0539-8
https://academic.hep.com.cn/fop/EN/Y2016/V11/I4/110307

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