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Journal of Experimental and Theoretical Physics

, Volume 129, Issue 3, pp 339–348 | Cite as

The Effective Hamiltonian Method in the Thermodynamics of Two Resonantly Interacting Quantum Oscillators

  • A. I. TrubilkoEmail author
  • A. M. BasharovEmail author
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Abstract

We investigate the classical problem of two resonantly interacting oscillators each of which is coupled to “its own” heat bath based on the effective Hamiltonian method and the quantum stochastic differential equation (in contrast to the well-known “global” and “local” approaches). We show that in the second order of the algebraic perturbation theory, each of the oscillators turns out to be also coupled to the “foreign” heat bath. We calculate the steady-state heat flows and prove that there is no heat flow from the cold heat bath to the hot one, as evidenced by some results of the local approach.

Notes

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Copyright information

© Pleiades Publishing, Inc. 2019

Authors and Affiliations

  1. 1.St. Petersburg University of State Fire Service of Emercom of RussiaSt. PetersburgRussia
  2. 2.National Research Center “Kurchatov InstituteMoscowRussia
  3. 3.Moscow Institute of Physics and TechnologyDolgoprudnyiRussia

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