Quantum Driven Dissipative Parametric Oscillator in a Blackbody Radiation Field

TL;DR

This paper analyzes the dynamics of a quantum oscillator in a blackbody radiation field and laser, providing analytic formulas for its non-Markovian evolution and quantum fluctuations.

Contribution

It introduces a comprehensive influence functional approach to derive closed-form expressions for a driven quantum oscillator interacting with a blackbody field and laser.

Findings

Analytic formulas for the oscillator's non-Markovian dynamics.

Expressions for quantum fluctuations and density matrix evolution.

Inclusion of zero-point fluctuations and temperature effects.

Abstract

We consider the general open system problem of a charged quantum oscillator confined in a harmonic trap, whose frequency can be arbitrarily modulated in time, that interacts with both an incoherent quantized (blackbody) radiation field and with an arbitrary coherent laser field. We assume that the oscillator is initially in thermodynamic equilibrium with its environment, a non-factorized initial density matrix of the system and the environment, and that at $t=0$ the modulation of the frequency, the coupling to the incoherent and the coherent radiation are switched on. The subsequent dynamics, induced by the presence of the blackbody radiation and the laser field, is studied in the framework of the influence functional approach. This approach allows incorporating, in \emph{analytic closed formulae}, the non-Markovian character of the oscillator-environment interaction at any temperature as well the non-Markovian character of the blackbody radiation and its zero-point fluctuations. Expressions for the time evolution of the covariance matrix elements of the quantum fluctuations and the reduced density-operator are obtained.