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arXiv:1703.01852 · Physics Reports

Quantum coherence and geometric quantum discord

Ming-Liang Hu, Xueyuan Hu, Jieci Wang, Yi Peng, Yu-Ran Zhang, Heng Fan

Published Aug 9, 2018• 411 citations
arXivHTMLPDF
DOI
10.1016/j.physrep.2018.07.004

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Abstract We investigate the influence of a time-dependent electromagnetic field (TDEF) on the double sudden change of the 1-norm geometric quantum discord (GQD) and sudden change of quantum coherence for superconducting circuit systems under spontaneous emission, where two superconducting qubits are each coupled to their own LC circuit or uniformly coupled to a common LC circuit, respectively. It is shown that the double sudden change of the GQD can be controlled, and the frozen time during which the GQD keeps nearly constant can be lengthened by applying the TDEF. Furthermore, we also find that the TDEF can delay the ‘critical point’ of sudden change for quantum coherence and slow down the decay of quantum coherence. Finally, we explore how the TDEF affects the superconducting circuits system’s information flow by using trace distance and the optimal control scheme is sought by comparing the two coupled modes.
Geometrical quantum discord (GQD) is an effective measure of quantum correlation in quantum systems. We study GQD dynamics in an atom-cavity-fiber system. GQD between atoms and that between cavities are investigated. The influences of coupling constant between cavity and fiber and the intensity of the cavity field on GQD are discussed. Results show that GQD between atoms and that between cavities all display periodical evolutions, and their evolution frequencies increase with increasing coupling constant between cavity and fiber. On the other hand, the GQD between atoms and that between cavities are all strengthened with increasing intensity of the cavity field.