2010/03/31 by Kwong Wa Chang, K. W. Chang, C. K. Law · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Classical mechanics #Coherence (philosophical gambling strategy) #Dissipative system #Dynamical decoupling #Harmonic oscillator #Lindblad equation #Markov process #Master equation #Mathematics #Nonlinear system #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum decoherence #Quantum master equation #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #Statistical physics #Van der Pol oscillator #quant-ph
paper · pdf · doi:10.1103/physreva.81.052105
arxiv created 2010/03/31 · openalex publication_date 2010/05/10 · arxiv updated 2015/05/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 \ensuremathπ 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.