Disentanglement in a quantum critical environment

Abstract

We study the dynamical process of disentanglement of two qubits and two qutrits coupled to an Ising spin chain in a transverse field, which exhibits a quantum phase transition. We use the concurrence and negativity to quantify entanglement of two qubits and two qutrits, respectively. Explicit connections between the concurrence (negativity) and the decoherence factors are given for two initial states, the pure maximally entangled state and the mixed Werner state. We find that the concurrence and negativity decay exponentially with fourth power of time in the vicinity of critical point of the environmental system.

8 pages, 6 figures

References in corpus (19)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Separability Criterion for Density Matrices
• A computable measure of entanglement
• Separability of Mixed States: Necessary and Sufficient Conditions
• Finite-Time Disentanglement via Spontaneous Emission
• Decay of Loschmidt Echo Enhanced by Quantum Criticality
• Quantum Chaos Triggered by Precursors of a Quantum Phase Transition: The Dicke Model
• Entanglement and the Phase Transition in Single Mode Superradiance
• Quantum Zeno effect by general measurements
• Gaussian Decoherence from Random Spin Environments
• Decoherence from spin environments
• Fidelity Decay as an Efficient Indicator of Quantum Chaos
• Dynamical aspects of quantum entanglement for weakly coupled kicked tops
• Complete disentanglement by partial pure dephasing
• Universal decoherence induced by an environmental quantum phase transition
• Entanglement in SU(2)-invariant quantum spin systems
• Quantum interference and evolution of entanglement in a system of three-level atoms
• Disentanglement by Dissipative Open System Dynamics
• Entanglement in spin-one Heisenberg chains

Cited by in corpus (43)

• Non-Markovian effects on the dynamics of entanglement
• Sudden Birth Versus Sudden Death of Entanglement in Multipartite Systems
• Entanglement dynamics of two independent qubits in environments with and without memory
• Quench dynamics and zero-energy modes: the case of the Creutz model
• Steered quantum coherence as a signature of quantum phase transitions in spin chains
• Lifetime of the superconductive state in short and long Josephson junctions
• Non-Markovian disentanglement dynamics in double-giant-atom waveguide-QED systems
• Dynamics of interacting qubits coupled to a common bath: Non-Markovian quantum state diffusion approach
• Manipulating sudden death of entanglement of two-qubit X-states in thermal reservoirs
• Coherent excitation-energy transfer and quantum entanglement in a dimer
• Distillability sudden death in qutrit-qutrit systems under global decoherence
• Finite-time destruction of entanglement and non-locality by environmental influences
• Distillability sudden death in qutrit-qutrit systems under amplitude damping
• Disentanglement dynamics of interacting two qubits and two qutrits in an XY spin-chain environment with the Dzyaloshinsky-Moriya interaction
• Decoherence from spin environments: Loschmidt echo and quasiparticle excitations
• Induced Entanglement Enhanced by Quantum Criticality
• Geometric phases and Bloch sphere constructions for SU(N), with a complete description of SU(4)
• Pulse control of sudden transition for two qubits in XY spin baths and quantum phase transition
• Exact Non-Markovian Master Equation and Dispersive Probing of Non-Markovian Process
• Dynamical quantum correlations after sudden quenches
• Manipulating and protecting entanglement by means of spin environments
• The decoherence dynamics of the multipartite entanglement in non-Markovian environment
• Correlation-induced coherence and its use in detecting quantum phase transitions
• The entanglement dynamics of interacting qubits embedded in a spin environment with Dzyaloshinsky-Moriya term
• Gapped Quantum Criticality Gains Long Time Quantum Correlations
• Initial Conditions and Entanglement Sudden Death
• Decoherence in time evolution of bound entanglement
• Quantifying Spontaneously Symmetry Breaking of Quantum Many-body Systems
• Entanglement dynamics of two-qubit system in different types of noisy channels
• Entanglement evolution in multipartite cavity-reservoir systems under local unitary operations
• Dynamics of decoherence of an entangled pair of qubits locally connected to a one-dimensional disordered spin chain
• Quantum temporal steering in a dephasing channel with quantum criticality
• Generation of concurrence between two qubits locally coupled to a one dimensional spin chain
• Stochastic Schrödinger Equation for a Non-Markovian Dissipative Qubit-Qutrit System
• Dynamics of decoherence in a noisy driven environment
• Entanglement inside a black hole before the Page time
• Dynamics of quantum entanglement in the reservoir with memory effects
• Dynamics of entanglement between two free atoms with quantized motion
• Quench field sensitivity of two-particle correlation in a Hubbard model
• Probing multipartite entanglement, coherence and quantum information preservation under classical Ornstein-Uhlenbeck noise
• Decoherence induced by an ordered environment
• Relaxation of antiferromagnetic order and growth of Rényi entropy in a generalized Heisenberg star
• Generation of concurrence in a generalized central spin model with a three-spin interacting environment