Quantum Driven Dissipative Parametric Oscillator in a Blackbody Radiation Field

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.

11 pages. It matches the published version

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• Open System Perspective on Incoherent Excitation of Light Harvesting Systems
• Coherent Phase Control in Closed and Open Quantum Systems: A General Master Equation Approach
• Mechanisms in Environmentally-Assisted One-photon Phase Control
• Quantum Process Tomography by 2D Fluorescence Spectroscopy
• Influence of Non-Markovian Dynamics in Thermal-Equilibrium Uncertainty-Relations
• Energy and magnetic moment of a quantum charged particle in time dependent magnetic and electric fields of circular and plane solenoids
• Exact solution of the position-dependent mass Schrödinger equation with the completely positive oscillator-shaped quantum well potential
• Dynamics of two externally driven coupled quantum oscillators interacting with separate baths based on path integrals
• Fermi's golden rule for $N$-body systems in a black-body radiation
• On oscillator-bath system: Exact propagator, Reduced density matrix and Green's function