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Generalized Quasi-Energies and Floquet States for a Dissipative System

Authors
Journal
Annals of Physics
0003-4916
Publisher
Elsevier
Publication Date
Volume
234
Issue
2
Identifiers
DOI: 10.1006/aphy.1994.1083
Disciplines
  • Physics

Abstract

Abstract We consider a periodically driven quantum system in interaction with a phonon heat bath, which after a sufficiently long time reaches a "steady-state" periodic with the driving frequency. In the simple model of a periodically driven harmonic oscillator with damping we find that the steady-state density operator ρ( st ) has no diagonal form in the Floquet representation. However, for this model it is possible to construct explicitly a basis of states depending on the strength of the damping which diagonalizes ρ( st ) and leads to a thermal distribution in the steady-state. This basis may be considered as a generalized Floquet basis for the dissipative system.

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