Comparing different non-Markovianity measures: A case study

Abstract

We consider two recently proposed measures of non-Markovianity applied to a particular quantum process describing the dynamics of a driven qubit in a structured reservoir. The motivation of this study is twofold: on one hand, we study the differences and analogies of the non-Markovianity measures and on the other hand, we investigate the effect of the driving force on the dissipative dynamics of the qubit. In particular we ask if the drive introduces new channels for energy and/or information transfer between the system and the environment, or amplifies existing ones. We show under which conditions the presence of the drive slows down the inevitable loss of quantum properties of the qubit.

5 pages, no figures. Published version with minor modifications

References in corpus (7)

• Non-Markovian effects on the dynamics of entanglement
• Assessing non-Markovian dynamics
• Non-Markovian quantum jumps
• Sudden death and sudden birth of entanglement in common structured reservoirs
• Open system dynamics with non-Markovian quantum jumps
• Stochastic jump processes for non-Markovian quantum dynamics
• Decoherence of adiabatically steered quantum systems

Cited by in corpus (67)

• Quantum Non-Markovianity: Characterization, Quantification and Detection
• On the degree of non-Markovianity of quantum evolution
• On measures of non-Markovianity: divisibility vs. backflow of information
• Foundations and Measures of Quantum Non-Markovianity
• Markovian and non-Markovian dynamics in quantum and classical systems
• Comparative study of non-Markovianity measures in exactly solvable one and two qubit models
• Quantifying, characterizing and controlling information flow in ultracold atomic gases
• An alternative non-Markovianity measure by divisibility of dynamical map
• Non-Markovian random unitary qubit dynamics
• Quantum regression theorem and non-Markovianity of quantum dynamics
• Characterizing non-Markovianity via quantum interferometric power
• Equivalence of the measures of non-Markovianty for open two-level systems
• Quantification of memory effects in the spin-boson model
• Exact master equation for a spin interacting with a spin bath: Non-Markovianity and negative entropy production rate
• Dynamical role of system-environment correlations in non-Markovian dynamics
• Non-unital non-Markovianity of quantum dynamics
• Non-Markovian master equations from piecewise dynamics
• Markovianity criteria for quantum evolution
• On the spectral origin of non-Markovianity: an exact finite model
• Quantum non-Markovian processes break conditional past-future independence
• Non-Markovian probes in ultracold gases
• Two-qubit non-Markovianity induced by a common environment
• Facets of quantum information under non-Markovian evolution
• Enabling quantum non-Markovian dynamics by injection of classical colored noise
• Effects of the rotating wave and secular approximations on non-Markovianity
• Unification of witnessing initial system-environment correlations and witnessing non-Markovianity
• Conditional past-future correlation induced by non-Markovian dephasing reservoirs
• A Knob for Markovianity
• Entanglement assisted probe of the non-Markovian to Markovian transition in open quantum system dynamics
• Quantum speed limit of a photon under non-Markovian dynamics
• The Elephant Quantum Walk
• Quantum driving and work
• Comparison of non-Markovianity criteria in a qubit system under random external fields
• Non-perturbative effects in corrections to quantum master equation arising in Bogolubov-van Hove limit
• Competition between memory-keeping and memory-erasing decoherence channels
• Driving-induced amplification of non-Markovianity in open quantum systems evolution
• How general are time-local master equations?
• On time-local generators of quantum evolution
• Experimental Demonstration of Instrument-specific Quantum Memory Effects and Non-Markovian Process Recovery for Common-Cause Processes
• Quantum regression beyond the Born-Markov approximation for generalized spin-boson models
• Quantum regression in dephasing phenomena
• Maximally non-Markovian quantum dynamics without environment backflow of information
• Witnessing non-Markovianity of quantum evolution
• Non-Markovian dynamics for an open two-level system without rotating wave approximation: Indivisibility versus backflow of information
• Superadiabatic theory for Cooper pair pumping under decoherence
• Non-divisibility vs backflow of information in understanding revivals of quantum correlations for continuous-variable systems interacting with fluctuating environments
• Memory Effects in Quantum Processes
• Generalized formalism for information backflow in assessing Markovianity and its equivalence to divisibility
• Non-Markovian Dynamics in Ultracold Rydberg Aggregates
• Dissipation induced information scrambling in a collision model
• Non-Markovianity as a Resource for Quantum Technologies
• Long-time Markovianity of multi-level systems in the rotating wave approximation
• Detection of Bidirectional System-Environment Information Exchanges
• Perturbation theory for operational quantum non-Markovianity
• Markovianity of an emitter coupled to a structured spin chain bath
• Non-Markovian effect on remote state preparation
• Signatures of non-Markovianity in classical single-time probability distributions
• Nearly Markovian maps and entanglement-based bound on corresponding non-Markovianity
• Non-Markovianity of photon dynamics in a birefringent crystal
• Qubit Entanglement generation by Gaussian non-Markovian dynamics
• Bounds for the divisibility-based and distinguishability-based non-Markovianity measures
• Integral representation of finite temperature non-Markovian evolution of some RWA systems
• Non-Markovianity in the time evolution of open quantum systems assessed by means of quantum state distance
• Quantifying quantum non-Markovianity based on quantum coherence via skew information
• Dynamical matrix for arbitrary quadratic fermionic bath Hamiltonians and non-Markovian dynamics of one and two qubits in an Ising model environment
• Nonlocal quantum memory effects in a correlated multimode field
• Non-Markovian steady states of a driven two-level system