Crossover Between Non-Markovian and Markovian Dynamics Induced by a Hierarchical Environment

Abstract

Non-Markovian evolution of an open quantum system can be induced by the memory effects of a reservoir. Although a reservoir with stronger memory effects may seem like it should cause stronger non-Markovian effects on the system of interest, this seemingly intuitive thinking may not always be correct. We illustrate this by investigating a qubit (a two-level atom) that is coupled to a hierarchical environment, which contains a single-mode cavity and a reservoir consisting of infinite numbers of modes. We show how the non-Markovian character of the system is influenced by the coupling strength between the qubit and cavity and the correlation time of the reservoir. In particular, we found a new phenomenon whereby the qubit Markovian and non-Markovian transition exhibits a anomalous pattern in a parameter space depicted by the coupling strength and the correlation time of the reservoir.

References in corpus (6)

• Assessing non-Markovian dynamics
• On measures of non-Markovianity: divisibility vs. backflow of information
• Exact master equations for the non-Markovian decay of a qubit
• Observation of non-Markovian dynamics of a single quantum dot in a micropillar cavity
• Non-Markovian Relaxation of a Three-Level System: Quantum Trajectory Approach
• Driving-dependent damping of Rabi oscillations in two-level semiconductor systems

Cited by in corpus (5)

• Implications of non-Markovian dynamics for the Landauer bound
• Harnessing non-Markovian quantum memory by environmental coupling
• Classical-driving-assisted quantum speed-up
• Effect of bath temperature on the decoherence of quantum dissipative systems
• Quantumness protection for open systems in a double-layer environment