Non-Markovian master equation for a damped oscillator with time-varying parameters
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AbstractWe 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.
All Author(s) ListChang KW, Law CK
Journal namePhysical Review A
Year2010
Month5
Day1
Volume Number81
Issue Number5
PublisherAmerican Physical Society
ISSN1050-2947
eISSN1094-1622
LanguagesEnglish-United Kingdom
Web of Science Subject CategoriesOptics; OPTICS; Physics; Physics, Atomic, Molecular & Chemical; PHYSICS, ATOMIC, MOLECULAR & CHEMICAL

Last updated on 2021-10-10 at 23:37