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

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Abstract

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 kth-level eigenenergy for the kth-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.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 11675129).

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  1. School of Science, Xi’an University of Posts and Telecommunications, Xi’an, 710121, China

    Yu-Xia Xie & Xiao-Xiao Xu

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Xie, YX., Xu, XX. Nonlocal advantage of quantum coherence and quantum discord versus internal energy in the Heisenberg chain. Quantum Inf Process 20, 251 (2021). https://doi.org/10.1007/s11128-021-03190-1

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