### Abstract

We show a microscopic derivation of a quantum master equation with counting terms which describes the electron statistics. A localized spin behaves as a probe whose precession angle monitors the net electron current by the magnetic moment interaction. The probe Hamiltonian is proportional to the current and is determined self-consistently for a model of a quantum dot. Then it turns out that the quantum master equation for the spin precession contains the counting terms. As an application, we show the fluctuation theorem for the electron current.

Original language | English |
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Article number | 051113 |

Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 82 |

Issue number | 5 |

DOIs | |

Publication status | Published - 2010 Nov 10 |

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### ASJC Scopus subject areas

- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Statistics and Probability

### Cite this

**Derivation of quantum master equation with counting fields by monitoring a probe.** / Monnai, Takaaki.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Derivation of quantum master equation with counting fields by monitoring a probe

AU - Monnai, Takaaki

PY - 2010/11/10

Y1 - 2010/11/10

N2 - We show a microscopic derivation of a quantum master equation with counting terms which describes the electron statistics. A localized spin behaves as a probe whose precession angle monitors the net electron current by the magnetic moment interaction. The probe Hamiltonian is proportional to the current and is determined self-consistently for a model of a quantum dot. Then it turns out that the quantum master equation for the spin precession contains the counting terms. As an application, we show the fluctuation theorem for the electron current.

AB - We show a microscopic derivation of a quantum master equation with counting terms which describes the electron statistics. A localized spin behaves as a probe whose precession angle monitors the net electron current by the magnetic moment interaction. The probe Hamiltonian is proportional to the current and is determined self-consistently for a model of a quantum dot. Then it turns out that the quantum master equation for the spin precession contains the counting terms. As an application, we show the fluctuation theorem for the electron current.

UR - http://www.scopus.com/inward/record.url?scp=78651346869&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78651346869&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.82.051113

DO - 10.1103/PhysRevE.82.051113

M3 - Article

VL - 82

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

SN - 1063-651X

IS - 5

M1 - 051113

ER -