Quantum discord for a central two-qubit system coupled to an XY spin chain with multipartite interaction

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 cannot 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.

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Quantum correlation dynamics of a three-qubit system coupled to an XY spin chain

The European Physical Journal D ◽

10.1140/epjd/e2013-30631-7 ◽

2013 ◽

Vol 67 (3) ◽

Cited By ~ 6

Author(s):

Jin-Liang Guo ◽

Gui-Lu Long

Keyword(s):

Spin Chain ◽

Quantum Correlation ◽

Qubit System ◽

Xy Spin Chain

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The Dynamics of Quantum-Memory-Assisted Entropic Uncertainty of Two-Qubit System in the XY Spin Chain Environments with Dzyaloshinsky-Moriya Interaction

International Journal of Theoretical Physics ◽

10.1007/s10773-020-04708-6 ◽

2021 ◽

Vol 60 (1) ◽

pp. 402-419

Author(s):

Yanliang Zhang ◽

Qingping Zhou ◽

Guodong Kang ◽

Maofa Fang

Keyword(s):

Spin Chain ◽

Quantum Memory ◽

Qubit System ◽

Xy Spin Chain ◽

Moriya Interaction

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BERRY PHASE AND CRITICAL BEHAVIOR OF THE XY SPIN CHAIN WITH THREE-SITE INTERACTION

Modern Physics Letters B ◽

10.1142/s0217984912501412 ◽

2012 ◽

Vol 26 (22) ◽

pp. 1250141 ◽

Cited By ~ 2

Author(s):

HANLI LIAN

Keyword(s):

Spin Chain ◽

Berry Phase ◽

Finite Size ◽

Transverse Magnetic ◽

Anomalous Behavior ◽

Quantum Criticality ◽

Critical Properties ◽

Finite Size Scaling ◽

Surrounding Environment ◽

Xy Spin Chain

By calculating the Berry Phase (BP) of a central spin, the quantum criticality of the surrounding environment described by an XY spin chain with the three-site interaction in a transverse magnetic field is explored. The BP presents anomalous behavior along the critical region. The finite-size scaling behaviors suggest that the BP of the central spin can well capture the critical properties of the XY spin chain with the three-site interaction.

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