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

Autor: Hovhannisyan AA; Joint Institute for Nuclear Research, 141980 Dubna, Russia.; Physics Department, Yerevan State University, 0001-0099 Yerevan, Armenia., Sargsyan VV; Joint Institute for Nuclear Research, 141980 Dubna, Russia.; Institut für Theoretische Physik der Justus-Liebig-Universität, D-35392 Giessen, Germany., Adamian GG; Joint Institute for Nuclear Research, 141980 Dubna, Russia., Antonenko NV; Joint Institute for Nuclear Research, 141980 Dubna, Russia.; Mathematical Physics Department, Tomsk Polytechnic University, 634050 Tomsk, Russia., Lacroix D; Institut de Physique Nucléaire, IN2P3-CNRS, Université Paris-Sud, F-91406 Orsay Cedex, France.
Jazyk: angličtina
Zdroj: Physical review. E [Phys Rev E] 2018 Mar; Vol. 97 (3-1), pp. 032134.
DOI: 10.1103/PhysRevE.97.032134
Abstrakt: 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.
Databáze: MEDLINE