Nonclassical phase-space trajectories for the damped harmonic quantum oscillator

Abstract

The phase-space path-integral approach to the damped harmonic oscillator is analyzed beyond the Markovian approximation. It is found that pairs of nonclassical trajectories contribute to the path-integral representation of the Wigner propagating function. Due to the linearity of the problem, the sum coordinate of a pair still satisfies the classical equation of motion. Furthermore, it is shown that the broadening of the Wigner propagating function of the damped oscillator arises due to the time-nonlocal interaction mediated by the heat bath.

8 pages, 3 figures, accepted for publication in Chemical Physics

References in corpus (9)

• Fundamental Aspects of Quantum Brownian Motion
• Floquet-Markov description of the parametrically driven, dissipative harmonic quantum oscillator
• Semiclassical propagator of the Wigner function
• Symplectic evolution of Wigner functions in markovian open systems
• On the propagation of semiclassical Wigner functions
• Semiclassical propagation of Wigner functions
• Semiclassical Evolution of Dissipative Markovian Systems
• Time-domain scars: resolving the spectral form factor in phase space
• Scars of the Wigner function

Cited by in corpus (12)

• Computational Methodologies and Physical Insights into Electronic Energy Transfer in Photosynthetic Light-Harvesting Complexes
• Incoherent Excitation of Thermally Equilibrated Open Quantum Systems
• Ultrafast Optimal Sideband Cooling under Non-Markovian Evolution
• Mechanisms in Environmentally-Assisted One-photon Phase Control
• Quantum Process Tomography by 2D Fluorescence Spectroscopy
• Quantum Driven Dissipative Parametric Oscillator in a Blackbody Radiation Field
• Influence of Non-Markovian Dynamics in Thermal-Equilibrium Uncertainty-Relations
• Origin of the $1/f^{\alpha }$-Spectral-Noise in Chaotic and Regular Quantum Systems
• General Galilei Covariant Gaussian Maps
• Open Quantum Systems at Low Temperature
• On oscillator-bath system: Exact propagator, Reduced density matrix and Green's function
• Correspondence Between the Energy Equipartition Theorem in Classical Mechanics and its Phase-Space Formulation in Quantum Mechanics