Effects of the rotating wave and secular approximations on non-Markovianity

Abstract

We study the effect of the rotating-wave approximation (RWA) and the secular approximation (SA) on the non-Markovian behavior in the spin-boson model at zero-temperature. We find that both the RWA and SA lead to a dramatic reduction in the observed non-Markovianity. In general, non-Markovian dynamics is observed for the whole relaxation time of the system, whereas the RWA and SA lead to such dynamics only on the short time scale of the environmental correlation time. Thus, the RWA and SA are not necessarily justified in the studies of non-Markovianity although they can estimate the state of the system precisely. Furthermore, we derive an accurate analytical expression for the non-Markovianity measure without the RWA or SA. This expression yields important insight into the physics of the problem.

11 pages, 4 figures, published version

References in corpus (11)

• Assessing non-Markovian dynamics
• General non-Markovian dynamics of open quantum systems
• On measures of non-Markovianity: divisibility vs. backflow of information
• Optimal state pairs for non-Markovian quantum dynamics
• Quantum Zeno and Anti-Zeno Effect without Rotating Wave Approximation
• The Rotating-Wave Approximation: Consistency and Applicability from an Open Quantum System Analysis
• Quantification of memory effects in the spin-boson model
• Dynamical role of system-environment correlations in non-Markovian dynamics
• Decoherence of adiabatically steered quantum systems
• Unification of witnessing initial system-environment correlations and witnessing non-Markovianity
• Non-Markovian dynamics for an open two-level system without rotating wave approximation: Indivisibility versus backflow of information

Cited by in corpus (24)

• Quantum Non-Markovianity: Characterization, Quantification and Detection
• A Tutorial on Quantum Master Equations: Tips and tricks for quantum optics, quantum computing and beyond
• Generating stable spin squeezing by squeezed-reservoir engineering
• Phase-dependent exciton transport and energy harvesting from thermal environments
• Smoking-gun signatures of non-Markovianity of a superconducting qubit
• Approach to solving spin-boson dynamics via non-Markovian quantum trajectories
• Driving-induced amplification of non-Markovianity in open quantum systems evolution
• Effects of counter-rotating-wave terms on the non-Markovianity in quantum open systems
• Exact non-Markovian dynamics of Gaussian quantum channels: Finite-time and asymptotic regimes
• An exact master equation for the system-reservoir dynamics under the strong coupling regime and non-Markovian dynamics
• Partition of kinetic energy and magnetic moment in dissipative diamagnetism
• Non-Markovian dynamics of mixed-state geometric phase of dissipative qubits
• Transition Rates for a Rydberg Atom Surrounded by a Plasma
• Quantum Treatment for Bose-Einstein Condensation in Non-Equilibrium Systems
• Thermodynamics of the Coarse-Graining Master Equation
• Floquet analysis of a superradiant many-qutrit refrigerator
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Effects of counter-rotating-wave terms on the noisy frequency estimation
• Non-Markovian dynamics of a two-level system in a bosonic bath and a Gaussian fluctuating environment with finite correlation time
• Bounds for the divisibility-based and distinguishability-based non-Markovianity measures
• Weak-coupling limits of the quantum Langevin equation for an oscillator
• Relaxation to persistent currents in a Hubbard trimer coupled to fermionic baths
• Exact non-Markovian master equations: a generalized derivation for Gaussian systems
• Non-Markovian decoherence of a two-level system in a Lorentzian bosonic reservoir and a stochastic environment with finite correlation time