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Dynamics of a Fermi system with resonant dissipation and dynamical detailed balance

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  • Stefanescu, Eliade

Abstract

The dissipative dynamics of a system of Fermions is described in the framework of a resonance model—the quantum master equation describes two-body correlations of the system with the environment particles. This equation, with microscopic coefficients depending on the exactly known two-body potential between the system and the environment particles, is discussed in comparison with other master equations, obtained on axiomatic grounds, or derived from a coupling with an environment of harmonic oscillators without altering the quantum conditions. The asymptotic solution is in accordance with the detailed balance principle, and with other generally accepted conditions satisfied during the whole time-evolution: Pauli master equations for the diagonal elements of the density matrix, and damped Bloch–Feynman equations for the non-diagonal ones, that we call dynamical detailed balance. For a harmonic oscillator coupled with the electromagnetic field through dipole interaction, a master equation with transition operators between successive levels is obtained. As an application, the decay width of a quantum logic gate is calculated.

Suggested Citation

  • Stefanescu, Eliade, 2005. "Dynamics of a Fermi system with resonant dissipation and dynamical detailed balance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 227-244.
    • Handle: RePEc:eee:phsmap:v:350:y:2005:i:2:p:227-244
    DOI: 10.1016/j.physa.2004.11.016
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    1. Chris Gardiner & Rosalie Hill, 1996. "Analysis of Access to Cars from the 1991 UK Census Samples of Anonymised Records: A Case Study of the Elderly Population of Sheffield," Urban Studies, Urban Studies Journal Limited, vol. 33(2), pages 269-281, March.
    2. Sandulescu, A. & Stefanescu, E., 1989. "New optical equations for the interaction of a two-level atom with a single mode of the electromagnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 161(3), pages 525-538.
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