Nonlocal advantage of quantum coherence and quantum discord versus internal energy in the Heisenberg chain

We investigate the nonlocal advantage of quantum coherence (NAQC) and quantum discord (QD) for both the thermal equilibrium state and all eigenstates of the Heisenberg XXX chain. It is shown that both the NAQC and QD of two neighboring spins are completely determined by a thermodynamic potential, i....

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Bibliographic Details
Published inQuantum information processing Vol. 20; no. 7
Main Authors Xie, Yu-Xia, Xu, Xiao-Xiao
Format Journal Article
LanguageEnglish
Published New York Springer US 01.07.2021
Springer Nature B.V
Subjects
Chains
Coherence
Data Structures and Information Theory
Eigenvectors
Internal energy
Mathematical Physics
Physics
Physics and Astronomy
Quantum Computing
Quantum Information Technology
Quantum phenomena
Quantum Physics
Spintronics
Quantum discord
Quantum coherence
Internal energy
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Summary:We investigate the nonlocal advantage of quantum coherence (NAQC) and quantum discord (QD) for both the thermal equilibrium state and all eigenstates of the Heisenberg XXX chain. It is shown that both the NAQC and QD of two neighboring spins are completely determined by a thermodynamic potential, i.e., the internal energy for the thermal equilibrium state and the k th-level eigenenergy for the k th-level eigenstate. From the dependence of the NAQC and QD on the internal energy, we further show that they approach to their thermodynamic limits very quickly with an increase in the number of spins in the chain. We also investigate the NAQC and QD versus energy in the anisotropic Heisenberg XXZ model.
ISSN:1570-0755
1573-1332
DOI:10.1007/s11128-021-03190-1