Journal of East China Normal University(Natural Science) >

2023 , Vol. 2023 >Issue 4: 101 - 108

DOI: https://doi.org/10.3969/j.issn.1000-5641.2023.04.011

Physics and Electronics

Examination of the effect of decoherence evolution on Jaynes-Cummings model

  • Yiman HUANG ,
  • Lei MA
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  • School of Physics and Electronic Science, East China Normal University, Shanghai　200241, China

Received date: 2022-04-25

  Online published: 2023-07-25

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Abstract

The Kraus operator-sum representation method for mixed-state evolution was used to analyze the change in the fidelity and von Neumann entropy of the final state after decoherent time evolution. The analysis was based on the Jaynes-Cummings model for the initial state set in the depolarization mode. The results show that the fidelity of the quantum state undergoing decoherent evolution exhibits decaying oscillations with time until it becomes stable, while the von Neumann entropy exhibits oscillations of decreasing amplitude with time.

Key words： decoherence; Jaynes-Cummings model; Kraus operator-sum representation; fidelity; von Neumann entropy

Cite this article

Yiman HUANG , Lei MA . Examination of the effect of decoherence evolution on Jaynes-Cummings model[J]. Journal of East China Normal University(Natural Science), 2023 , 2023(4) : 101 -108 . DOI: 10.3969/j.issn.1000-5641.2023.04.011

References

1 SCHLOSSHAUER M. Quantum decoherence. Physics Reports, 2019, 831, 1- 57.
2 ZUREK W H. Decoherence, einselection, and the quantum origins of the classical. Reviews of Modern Physics, 2003, 75 (3): 715- 775.
3 NIELSEN M A, CHUANG I L. Quantum computation and quantum information. Physics Today, 2001, 54 (2): 60.
4 SHORE B W, KNIGHT P L. The Jaynes-Cummings model. Journal of Modern Optics, 1993, 40 (7): 1195- 1238.
5 SCHLICHER R R. Jaynes-Cummings model with atomic motion. Optics Communications, 1989, 70 (2): 97- 102.
6 DUGIC M. On quantum decoherence [J]. AIP Conference Proceedings, 2007, 899(1): 73-75.
7 孙昌璞, 衣学喜, 周端陆. 量子退相干问题 [G]// 曾谨言, 裴寿镛. 量子力学新进展 (第一辑). 北京: 北京大学出版社, 2000: 128-175.
8 JAYNES E T, CUMMING F W. Comparison of quantum and semiclassical radiation theories with application to the beam maser. Proceedings of the IEEE, 1963, 51 (1): 89- 109.
9 CUMMINGS F W. Stimulated emission of radiation in a single mode. Physical Review, 1965, 140 (4A): A1051- A1056.
10 REMPE G, WAITHER H, KLEIN N. Observation of quantum collapse and revival in a one-atom maser. Physical Review Letters, 1987, 58 (4): 353- 356.
11 张永德. 量子信息物理原理 [M]. 北京: 科学出版社, 2006: 124-160.
12 JOZSA R. Fidelity for mixed quantum states. Journal of Modern Optics, 1994, 41 (12): 2315- 2323.
13 ISAR A, SANDULESCU A, SCUTARU H, et al. Open quantum systems. International Journal of Modern Physics E, 1994, 3 (2): 635- 714.
14 DODD P J, HALLIWELL J J. Disentanglement and decoherence by open system dynamics. Physical Review A, 2004, 69 (5): 052105.
15 SCHLOSSHAUER M. Decoherence, the measurement problem, and interpretations of quantum mechanics. Reviews of Modern Physics, 2004, 76 (4): 1267- 1305.
16 BITTNER E R, ROSSKY P J. Quantum decoherence in mixed quantum-classical systems: Nonadiabatic processes. The Journal of Chemical Physics, 1995, 103 (18): 8130- 8143.
17 宋军, 曹卓良. 两纠缠原子与相干态光场相互作用的动力学. 原子与分子物理学报, 2004, 21 (3): 446- 452.
18 丛爽, 楼越升. 开放量子系统中消相干及其控制策略. 量子电子学报, 2008, 25 (6): 665- 669.
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