Non-Markovian dynamics of fermionic and bosonic systems coupled to several heat baths

A. A. Hovhannisyan, V. V. Sargsyan, G. G. Adamian, N. V. Antonenko, D. Lacroix

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Employing the fermionic and bosonic Hamiltonians for the collective oscillator linearly FC-coupled with several heat baths, the analytical expressions for the collective occupation number are derived within the non-Markovian quantum Langevin approach. The master equations for the occupation number of collective subsystem are derived and discussed. In the case of Ohmic dissipation with Lorenzian cutoffs, the possibility of reduction of the system with several heat baths to the system with one heat bath is analytically demonstrated. For the fermionic and bosonic systems, a comparative analysis is performed between the collective subsystem coupled to two heat baths and the reference case of the subsystem coupled to one bath.

Original languageEnglish
Article number032134
JournalPhysical Review E
Volume97
Issue number3
DOIs
Publication statusPublished - 28 Mar 2018

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Heat Bath
Coupled System
baths
heat
Subsystem
occupation
ohmic dissipation
Master Equation
Comparative Analysis
Dissipation
Linearly
cut-off
oscillators

ASJC Scopus subject areas

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

Cite this

Non-Markovian dynamics of fermionic and bosonic systems coupled to several heat baths. / Hovhannisyan, A. A.; Sargsyan, V. V.; Adamian, G. G.; Antonenko, N. V.; Lacroix, D.

In: Physical Review E, Vol. 97, No. 3, 032134, 28.03.2018.

Research output: Contribution to journalArticle

Hovhannisyan, A. A. ; Sargsyan, V. V. ; Adamian, G. G. ; Antonenko, N. V. ; Lacroix, D. / Non-Markovian dynamics of fermionic and bosonic systems coupled to several heat baths. In: Physical Review E. 2018 ; Vol. 97, No. 3.
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