Non-Markovian dynamics of a biased qubit coupled to a structured bath

Abstract

A new analytical approach, beyond rotating wave approximation, based on unitary transformations and the non-Markovian master equation for the density operator, is applied to treat the biased spin boson model with a Lorentzian structured bath for arbitrary detunings at zero temperature. Compared to zero bias, we find that the dynamics demonstrates two more damping oscillation frequencies and one additional relaxation frequency for non-zero bias, where one of the damping oscillation frequencies is a new effect. Analytical expressions for the non-Markovian dynamics and the corresponding spectrum, the localized-delocalized transition point, the coherent-incoherent transition point, the analytical ground energy, the renormalized tunneling factor and the susceptibility are determined. The sum rule and the Shiba relation are checked in the coherent regime.

10 figures, revised version, has been submitted to JPCM on Oct. 15

References in corpus (6)

• Non-Markovian qubit dynamics in the presence of 1/f noise
• Dissipative dynamics of a biased qubit coupled to a harmonic oscillator: Analytical results beyond the rotating wave approximation
• Dynamics of a qubit coupled to a broadened harmonic mode at finite detuning
• Non-Markovian dynamics of a biased qubit coupled to a structured bath
• Dissipative dynamics of a two - level system resonantly coupled to a harmonic mode
• Quantum dynamics of a qubit coupled with structured bath

Cited by in corpus (9)

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• Quantum Zeno and anti-Zeno effects in quantum dissipative systems
• Realization of hierarchical equations of motion from stochastic perspectives
• Non-Markovian dynamics of a biased qubit coupled to a structured bath
• Coherent exciton dynamics in a dissipative environment maintained by an off-resonant vibrational mode
• Effect of bath temperature on the quantum decoherence
• Effect of bath temperature on the decoherence of quantum dissipative systems
• Modified coherence of quantum spins in a damped pure-dephasing model