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 (4)

• Finite-Time Disentanglement via Spontaneous Emission
• Complete disentanglement by partial pure dephasing
• Universal decoherence induced by an environmental quantum phase transition
• Quantum interference and evolution of entanglement in a system of three-level atoms

Cited by in corpus (7)

• 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
• Manipulating sudden death of entanglement of two-qubit X-states in thermal reservoirs
• Induced Entanglement Enhanced by Quantum Criticality
• Geometric phases and Bloch sphere constructions for SU(N), with a complete description of SU(4)
• Decoherence in time evolution of bound entanglement