Quenching Dynamics and Quantum Information

Abstract

We review recent studies on the measures of zero temperature quantum correlations namely, the quantum entanglement (concurrence) and discord present in the final state of a transverse XY spin chain following a quench through quantum critical points; the aim of these studies is to explore the scaling of the above quantities as a function of the quench rate. A comparative study between the concurrence and the quantum discord shows that their behavior is qualitatively the same though there are quantitative differences. For the present model, the scaling of both the quantities are given by the scaling of the density of the defect present in the final state though one can not find a closed form expression for the discord. We also extend our study of quantum discord to a transverse Ising chain in the presence of a three spin interaction. Finally, we present a study of the dynamical evolution of quantum discord and concurrence when two central qubits, initially prepared in a Werner state, are coupled to the environmental XY spin chain which is driven through quantum critical points. The qualitative behavior of quantum discord and concurrence are found to be similar as that of the decoherence factor.

21 pages, 12 figures, Submitted to Int. J. Mod. Phys. B, special issue "Classical Vs Quantum correlations in composite systems" edited by L. Amico, S. Bose, V. Korepin and V. Vedral. arXiv admin note: text overlap with arXiv:1105.4442

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Cited by in corpus (13)

• Quantum discord and its allies: a review
• Coherent and dissipative dynamics at quantum phase transitions
• Dynamical quantum correlations after sudden quenches
• Static and dynamical quantum correlations in phases of an alternating field XY model
• Out-of-equilibrium dynamics arising from slow round-trip variations of Hamiltonian parameters across quantum and classical critical points
• Dynamical relaxation behaviors of a critical quench
• A study of excess energy and decoherence factor of a qubit coupled to a one dimensional periodically driven spin chain
• Dynamics of decoherence of an entangled pair of qubits locally connected to a one-dimensional disordered spin chain
• Out-of-equilibrium finite-size scaling in generalized Kibble-Zurek protocols crossing quantum phase transitions in the presence of symmetry-breaking perturbations
• Generation of concurrence between two qubits locally coupled to a one dimensional spin chain
• Information scrambling and redistribution of quantum correlations through dynamical evolution in spin chains
• Kibble-Zurek scaling in the quantum Ising chain with a time-periodic perturbation
• Generation of concurrence in a generalized central spin model with a three-spin interacting environment