Non-Markovian master equation for a damped oscillator with time-varying parameters

Journal Article · Sat May 15 04:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.052105· OSTI ID:21408771

Chang, K W; Law, C K ^[1]

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1. Department of Physics and Institute of Theoretical Physics, Chinese University of Hong Kong, Shatin (Hong Kong)

We derive an exact non-Markovian master equation that generalizes the previous work [Hu, Paz and Zhang, Phys. Rev. D 45, 2843 (1992)] to damped harmonic oscillators with time-varying parameters. This is achieved by exploiting the linearity of the system and operator solution in Heisenberg picture. Our equation governs the non-Markovian quantum dynamics when the system is modulated by external devices. As an application, we apply our equation to parity kick decoupling problems. The time-dependent dissipative coefficients in the master equation are shown to be modified drastically when the system is driven by {pi} pulses. For coherence protection to be effective, our numerical results indicate that kicking period should be shorter than memory time of the bath. The effects of using soft pulses in an ohmic bath are also discussed.

• OSTI ID: 21408771
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 81; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DECOUPLING
ELECTRONIC EQUIPMENT
EQUATIONS
EQUIPMENT
HARMONIC OSCILLATORS
HEISENBERG PICTURE
MARKOV PROCESS
MATHEMATICAL SOLUTIONS
OSCILLATORS
PARITY
PARTICLE PROPERTIES
PULSES
SAFETY
STOCHASTIC PROCESSES
TIME DEPENDENCE