Coherent State Control to Recover Quantum Entanglement and Coherence

How to analytically deal with the entanglement and coherence dynamics of separated Jaynes−Cummings nodes with continuous-variable fields is still an open question. We here generalize this model to a more common situation including either a small or large qubit-field detuning, and obtain tw...

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Main Authors: Li-Tuo Shen, Zhi-Cheng Shi, Zhen-Biao Yang
Format: Article
Language:English
Published: MDPI AG 2019-09-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/21/10/917
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author Li-Tuo Shen
Zhi-Cheng Shi
Zhen-Biao Yang
author_facet Li-Tuo Shen
Zhi-Cheng Shi
Zhen-Biao Yang
author_sort Li-Tuo Shen
collection DOAJ
description How to analytically deal with the entanglement and coherence dynamics of separated Jaynes−Cummings nodes with continuous-variable fields is still an open question. We here generalize this model to a more common situation including either a small or large qubit-field detuning, and obtain two new analytical formulas. The X-state simplification, Fock-state shortcut and detuning-limit approximation work together in an amazingly accurate way, which agrees with the numerical results. The new formulas almost perfectly predict the two-qubit entanglement dynamics both in sudden death and rebirth phenomenon for detuning interactions. We find that when both the qubit-field detuning and amplitude of coherent states are large enough, the maximal entanglement and coherence peaks can be fully and periodically retrieved, and their revival periods both increase linearly with the increasing detuning.
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spelling doaj.art-002b8100786e4e79a3764213c612af782022-12-22T03:19:10ZengMDPI AGEntropy1099-43002019-09-01211091710.3390/e21100917e21100917Coherent State Control to Recover Quantum Entanglement and CoherenceLi-Tuo Shen0Zhi-Cheng Shi1Zhen-Biao Yang2Fujian Key Laboratory of Quantum Information and Quantum Optics, College of Physics and Information Engineering, Fuzhou University, Fuzhou 350116, ChinaFujian Key Laboratory of Quantum Information and Quantum Optics, College of Physics and Information Engineering, Fuzhou University, Fuzhou 350116, ChinaFujian Key Laboratory of Quantum Information and Quantum Optics, College of Physics and Information Engineering, Fuzhou University, Fuzhou 350116, ChinaHow to analytically deal with the entanglement and coherence dynamics of separated Jaynes−Cummings nodes with continuous-variable fields is still an open question. We here generalize this model to a more common situation including either a small or large qubit-field detuning, and obtain two new analytical formulas. The X-state simplification, Fock-state shortcut and detuning-limit approximation work together in an amazingly accurate way, which agrees with the numerical results. The new formulas almost perfectly predict the two-qubit entanglement dynamics both in sudden death and rebirth phenomenon for detuning interactions. We find that when both the qubit-field detuning and amplitude of coherent states are large enough, the maximal entanglement and coherence peaks can be fully and periodically retrieved, and their revival periods both increase linearly with the increasing detuning.https://www.mdpi.com/1099-4300/21/10/917coherent stateJaynes–Cummings modelsentanglementcoherenceopen quantum system
spellingShingle Li-Tuo Shen
Zhi-Cheng Shi
Zhen-Biao Yang
Coherent State Control to Recover Quantum Entanglement and Coherence
Entropy
coherent state
Jaynes–Cummings models
entanglement
coherence
open quantum system
title Coherent State Control to Recover Quantum Entanglement and Coherence
title_full Coherent State Control to Recover Quantum Entanglement and Coherence
title_fullStr Coherent State Control to Recover Quantum Entanglement and Coherence
title_full_unstemmed Coherent State Control to Recover Quantum Entanglement and Coherence
title_short Coherent State Control to Recover Quantum Entanglement and Coherence
title_sort coherent state control to recover quantum entanglement and coherence
topic coherent state
Jaynes–Cummings models
entanglement
coherence
open quantum system
url https://www.mdpi.com/1099-4300/21/10/917
work_keys_str_mv AT lituoshen coherentstatecontroltorecoverquantumentanglementandcoherence
AT zhichengshi coherentstatecontroltorecoverquantumentanglementandcoherence
AT zhenbiaoyang coherentstatecontroltorecoverquantumentanglementandcoherence