Quantum correlations of a two-qubit system and the Aubry-André chain in bosonic environments
arXiv:2203.10460 · doi:10.1103/PhysRevA.106.052404
Abstract
In this research, we analyze two models using the tensor network algorithm. The quantum correlations of a two-qubit system are first studied in different bosonic reservoirs. Both equilibrium and nonequilibrium scenarios are discussed. Non-Markovian effects can improve the survival time of the quantum correlations significantly and weaken the decoherence effect. Non-Markovian dynamics with existing memory can lead to entanglement rebirth in specific scenarios instead of the eventual entanglement decay or death seen in memoryless Markovian cases. The system reaches a steady state quickest in sub-Ohmic reservoirs and shows the most apparent non-Markovian behavior in super-Ohmic reservoirs. We not only study the impact of the environment on quantum correlations but also how to protect quantum correlations. Starting from a state in which the two ends are maximally entangled, a one-dimensional AA chain model is also studied. We identify distinct phases by monitoring the imbalance dynamics. When the chain is closed, the imbalance dynamics behave differently in various phases, and so does the entanglement evolution between the chain's ends. When the first site couples to a bath, we found the imbalance dynamics can still be an effective indicator to differentiate various phases in an early evolution stage since the imbalance dynamics is only remarkably affected at relatively high temperatures. The distribution of the eigenenergy of the system can account for it. The entanglement of the chain ends decays rapidly in all phases due to one of the ends being coupled to the bath directly. However, the entanglement of the chain ends will persist for a perceptible amount of time in the localization phase if the bath is coupled to the middle site of the chain. Our research shows that one can utilize the disordered environment as a buffer to protect quantum correlations.
References in corpus (64)
- Quantum entanglement
- Introducing Quantum Discord
- Chaos and Quantum Thermalization
- Entanglement of a Pair of Quantum Bits
- Quantifying Coherence
- Many body localization and thermalization in quantum statistical mechanics
- A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
- Circuit Quantum Electrodynamics
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Many-body localization, thermalization, and entanglement
- Anderson localization of a non-interacting Bose-Einstein condensate
- Efficient simulation of one-dimensional quantum many-body systems
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- Necessary and sufficient condition for non-zero quantum discord
- Unbounded growth of entanglement in models of many-body localization
- Floquet Engineering of Quantum Materials
- Many body localization in Heisenberg XXZ magnet in a random field
- Interacting electrons in disordered wires: Anderson localization and low-temperature transport
- Phenomenology of fully many-body-localized systems
- A phenomenology of certain many-body-localized systems
- Many-body localization in a quantum simulator with programmable random disorder
- Many-body localization: an introduction and selected topics
- Experimental control of the transition from Markovian to non-Markovian dynamics of open quantum systems
- Universal dynamics and renormalization in many body localized systems
- Spectral signatures of many-body localization with interacting photons
- Efficient non-Markovian quantum dynamics using time-evolving matrix product operators
- Non-Markovian quantum processes: complete framework and efficient characterisation
- Teleportation, Bell's Inequalities and Inseparability
- Emulating many-body localization with a superconducting quantum processor
- Sudden death and sudden birth of entanglement in common structured reservoirs
- Out-of-time-ordered correlators in many-body localized systems
- Environmental dynamics, correlations, and the emergence of noncanonical equilibrium states in open quantum systems
- Lecture Notes of Tensor Network Contractions
- Exploiting the causal tensor network structure of quantum processes to efficiently simulate non-Markovian path integrals
- Non-Markovian entanglement dynamics of noisy continuous variable quantum channels
- Robustness of many-body localization in the presence of dissipation
- Dynamics of a Many-Body-Localized System Coupled to a Bath
- Observation of non-Markovian dynamics of a single quantum dot in a micropillar cavity
- Entanglement oscillations in non-Markovian quantum channels
- Influence of dephasing on many-body localization
- Universal phase shift and non-exponential decay of driven single-spin oscillations
- Efficient exploration of Hamiltonian parameter space for optimal control of non-Markovian open quantum systems
- Spin decoherence and electron spin bath noise of a nitrogen-vacancy center in diamond
- Coherent and incoherent dynamics in excitonic energy transfer: correlated fluctuations and off-resonance effects
- Many-body delocalization dynamics in long Aubry-André quasiperiodic chains
- Theory of the quantum-dot Mollow triplet in an exciton-driven semiconductor cavity
- Exact dynamics of non-additive environments in non-Markovian open quantum systems
- Dynamics of interacting qubits coupled to a common bath: Non-Markovian quantum state diffusion approach
- Improving the fidelity of teleportation through noisy channels using weak measurement
- Continuous variable entanglement dynamics in structured reservoirs
- Controlling Entanglement Generation in External Quantum Fields
- Quantum heat statistics with time-evolving matrix product operators
- Keldysh meets Lindblad: Correlated Gain and Loss in Higher-Order Perturbation Theory
- Dephasing-assisted Gain and Loss in Mesoscopic Quantum Systems
- Constructing Tensor Network Influence Functionals for General Quantum Dynamics
- Lasing without Inversion in Circuit Quantum Electrodynamics
- Global Correlation and Local Information Flows in Controllable Non-Markovian Open Quantum Dynamics
- Efficient Real-Time Path Integrals for Non-Markovian Spin-Boson Models
- Preservation Macroscopic Entanglement of Optomechanical Systems in non-Markovian Environment
- Signatures of many-body localization in steady states of open quantum systems
- Thermal amplification of field-correlation harvesting
- Quantum Control in Open and Periodically Driven Systems
- Equilibrium and Nonequilibrium Quantum Correlations Between Two Accelerated Detectors