Markovianity of an emitter coupled to a structured spin chain bath

Abstract

We analyze the dynamics of a spin 1/2 subsystem coupled to a spin chain. We simulate numerically the full quantum many-body system for various sets of parameters and initial states of the chain, and characterize the divisibility of the subsystem dynamics, i.e. whether it is Markovian and can be described by a (time dependent) master equation. We identify regimes in which the subsystem admits such Markovian description, despite the many-body setting, and provide insight about why the same is not possible in other regimes. Interestingly, coupling the subsystem at the edge, instead of the center, of the chain gives rise to qualitatively distinct behavior.

References in corpus (57)

• The density-matrix renormalization group in the age of matrix product states
• Efficient classical simulation of slightly entangled quantum computations
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Efficient simulation of one-dimensional quantum many-body systems
• Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
• Non-Markovian dynamics in open quantum systems
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• An Area Law for One Dimensional Quantum Systems
• Entanglement and non-Markovianity of quantum evolutions
• Quantum Non-Markovianity: Characterization, Quantification and Detection
• Prescription for experimental determination of the dynamics of a quantum black box
• Matrix product states represent ground states faithfully
• Complete Characterization of a Quantum Process: the Two-Bit Quantum Gate
• Time-evolution methods for matrix-product states
• Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm
• Assessing non-Markovian dynamics
• DMRG and periodic boundary conditions: a quantum information perspective
• Quantum Fisher Information Flow in Non-Markovian Processes of Open Systems
• Measure for the Non-Markovianity of Quantum Processes
• Canonical form of master equations and characterization of non-Markovianity
• Matrix product operator representations
• On the degree of non-Markovianity of quantum evolution
• Dividing Quantum Channels
• On measures of non-Markovianity: divisibility vs. backflow of information
• Solving Gapped Hamiltonians Locally
• Finite temperature dynamical DMRG and the Drude weight of spin-1/2 chains
• Procedures for Converting among Lindblad, Kraus and Matrix Representations of Quantum Dynamical Semigroups
• Finding the Kraus decomposition from a master equation and vice versa
• Approximating Gibbs states of local Hamiltonians efficiently with PEPS
• Markovian and Non-Markovian Dynamics of Quantum Emitters coupled to Two-dimensional Structured Reservoirs
• Completely Positive Divisibility Does Not Mean Markovianity
• Bound states in boson impurity models
• Variational Study of Fermionic and Bosonic Systems with Non-Gaussian States: Theory and Applications
• Kraus representation of quantum evolution and fidelity as manifestations of Markovian and non-Markovian avataras
• Comparing different non-Markovianity measures: A case study
• An alternative non-Markovianity measure by divisibility of dynamical map
• Memory-keeping effects and forgetfulness in the dynamics of a qubit coupled to a spin chain
• Generalized trace distance measure connecting quantum and classical non-Markovianity
• Mechanism for quantum speedup in open quantum systems
• Open system quantum dynamics with correlated initial states, not completely positive maps and non-Markovianity
• Purifications of multipartite states: limitations and constructive methods
• Quantification of memory effects in the spin-boson model
• Equivalence between divisibility and monotonic decrease of information in classical and quantum stochastic processes
• Dynamical role of system-environment correlations in non-Markovian dynamics
• Non-Markovian behavior of small and large complex quantum systems
• Divisibility and Information Flow Notions of Quantum Markovianity for Noninvertible Dynamical Maps
• Phenomenological memory-kernel master equations and time-dependent Markovian processes
• Detecting non-Markovianity of quantum evolution via spectra of dynamical maps
• On the spectral origin of non-Markovianity: an exact finite model
• Unification of witnessing initial system-environment correlations and witnessing non-Markovianity
• Information flow versus divisibility for qubit evolution
• Precursors of non-Markovianity
• Quantum instability and edge entanglement in a quasi-long-range order
• Superradiance-like Electron Transport through a Quantum Dot
• Generalized trace distance approach to quantum non-Markovianity and detection of initial correlations
• A correlation measure detecting almost all non-Markovian evolutions
• Non-Markovian dynamics from band edge effects and static disorder

Cited by in corpus (6)

• Mixing times and cutoffs in open quadratic fermionic systems
• Topological Effects in Two-Dimensional Quantum Emitter Systems
• Non-equilibrium non-Markovian steady-states in open quantum many-body systems: Persistent oscillations in Heisenberg quantum spin chains
• Inferring interpretable dynamical generators of local quantum observables from projective measurements through machine learning
• Machine learning of quantum channels on NISQ devices
• Engineering non-Markovianity from defect-phonon interactions