Exact Non-Markovian Master Equation and Dispersive Probing of Non-Markovian Process

Abstract

For a bosonic (fermionic) open system in a bath with many bosons (fermions) modes, we derive the exact non-Markovian master equation in which the memory effect of the bath is reflected in the time dependent decay rates. In this approach, the reduced density operator is constructed from the formal solution of the corresponding Heisenberg equations. As an application of the exact master equation, we study the active probing of non-Markovianity of the quantum dissipation of a single boson mode of electromagnetic (EM) field in a cavity QED system. The non-Markovianity of the bath of the cavity is explicitly reflected by the atomic decoherence factor.

13 pages and 8 figures

References in corpus (5)

• Non-Markovian entanglement dynamics of noisy continuous variable quantum channels
• Exact master equations for the non-Markovian decay of a qubit
• Non-Markovian Quantum Trajectories Versus Master Equations: Finite Temperature Heat Bath
• Disentanglement in a quantum critical environment
• Exact non-Markovian cavity dynamics strongly coupled to a reservoir

Cited by in corpus (9)

• Quantum Non-Markovianity: Characterization, Quantification and Detection
• Steady-state thermodynamics of non-interacting transport beyond weak coupling
• Lyapunov equation in open quantum systems and non-Hermitian physics
• Do Majorana zero modes emerge in the hybrid nanowire under a strong magnetic field?
• Enhancing parameter estimation precision in dissipative environment with two-photon driving
• Interplay between external driving, dissipation and collective effects in the Markovian and non-Markovian regimes
• Heisenberg Picture for Open Quantum Systems
• Exact non-Markovian master equations: a generalized derivation for Gaussian systems
• Phase Diffusion of Light Immersed In Quantum Tides: Open Quantum System Approach