Dynamics of the Quantum Discord with Weak Measurement for a Two-atom System in Thermal Reservoirs

Mei Bai; Hong Jia Xu; Xue Qun Yan

doi:doi:10.11648/j.ajmp.20200905.11

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Dynamics of the Quantum Discord with Weak Measurement for a Two-atom System in Thermal Reservoirs

Mei Bai, Hong Jia Xu, Xue Qun Yan

Received: 23 September 2020 Accepted: 5 November 2020 Published: 11 November 2020

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Abstract

Weak measurement is a kind of state partial collapse measurement developed on the basis of von Neumann measurement and positive operator value measurement, which allows us to explore the quantum world which has the least influence on the research system. Based on the weak measurement theory, the dynamics of quantum discord for two isolated atoms in their own thermal reservoirs is presented. We examine the time evolution of both standard quantum discord and quantum discord with weak measurement for the two-atom system, and analyzes the differences between the standard quantum discord and quantum discord with weak measurement in the evolution process with time, as well as the general role of the strength parameter in determing the discord and affecting its dynamic evolution. We show that quantum discords depend on how weak or strong one perturbs the quantum system. We also show that the difference of the standard quantum discord and the quantum discord with weak measurements increases as the strength parameter decreases. This means that the weak measurements can capture more quantum discord of a bipartite system. Our results show that the weak measurement performed on one of the subsystems can lead to the quantum discord that is a more natural measure of quantum correlations than the standard quantum discord captured by the projective measurements.

DOI	10.11648/j.ajmp.20200905.11
Published in	American Journal of Modern Physics (Volume 9, Issue 5, September 2020)
Page(s)	68-72
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Weak Measurement, Quantum Discord with Weak Measurement, Two-atom System

References

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APA Style

Mei Bai, Hong Jia Xu, Xue Qun Yan. (2020). Dynamics of the Quantum Discord with Weak Measurement for a Two-atom System in Thermal Reservoirs. American Journal of Modern Physics, 9(5), 68-72. https://doi.org/10.11648/j.ajmp.20200905.11

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ACS Style

Mei Bai; Hong Jia Xu; Xue Qun Yan. Dynamics of the Quantum Discord with Weak Measurement for a Two-atom System in Thermal Reservoirs. Am. J. Mod. Phys. 2020, 9(5), 68-72. doi: 10.11648/j.ajmp.20200905.11

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AMA Style

Mei Bai, Hong Jia Xu, Xue Qun Yan. Dynamics of the Quantum Discord with Weak Measurement for a Two-atom System in Thermal Reservoirs. Am J Mod Phys. 2020;9(5):68-72. doi: 10.11648/j.ajmp.20200905.11

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@article{10.11648/j.ajmp.20200905.11,
  author = {Mei Bai and Hong Jia Xu and Xue Qun Yan},
  title = {Dynamics of the Quantum Discord with Weak Measurement for a Two-atom System in Thermal Reservoirs},
  journal = {American Journal of Modern Physics},
  volume = {9},
  number = {5},
  pages = {68-72},
  doi = {10.11648/j.ajmp.20200905.11},
  url = {https://doi.org/10.11648/j.ajmp.20200905.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20200905.11},
  abstract = {Weak measurement is a kind of state partial collapse measurement developed on the basis of von Neumann measurement and positive operator value measurement, which allows us to explore the quantum world which has the least influence on the research system. Based on the weak measurement theory, the dynamics of quantum discord for two isolated atoms in their own thermal reservoirs is presented. We examine the time evolution of both standard quantum discord and quantum discord with weak measurement for the two-atom system, and analyzes the differences between the standard quantum discord and quantum discord with weak measurement in the evolution process with time, as well as the general role of the strength parameter in determing the discord and affecting its dynamic evolution. We show that quantum discords depend on how weak or strong one perturbs the quantum system. We also show that the difference of the standard quantum discord and the quantum discord with weak measurements increases as the strength parameter decreases. This means that the weak measurements can capture more quantum discord of a bipartite system. Our results show that the weak measurement performed on one of the subsystems can lead to the quantum discord that is a more natural measure of quantum correlations than the standard quantum discord captured by the projective measurements.},
 year = {2020}
}

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TY  - JOUR
T1  - Dynamics of the Quantum Discord with Weak Measurement for a Two-atom System in Thermal Reservoirs
AU  - Mei Bai
AU  - Hong Jia Xu
AU  - Xue Qun Yan
Y1  - 2020/11/11
PY  - 2020
N1  - https://doi.org/10.11648/j.ajmp.20200905.11
DO  - 10.11648/j.ajmp.20200905.11
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 68
EP  - 72
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20200905.11
AB  - Weak measurement is a kind of state partial collapse measurement developed on the basis of von Neumann measurement and positive operator value measurement, which allows us to explore the quantum world which has the least influence on the research system. Based on the weak measurement theory, the dynamics of quantum discord for two isolated atoms in their own thermal reservoirs is presented. We examine the time evolution of both standard quantum discord and quantum discord with weak measurement for the two-atom system, and analyzes the differences between the standard quantum discord and quantum discord with weak measurement in the evolution process with time, as well as the general role of the strength parameter in determing the discord and affecting its dynamic evolution. We show that quantum discords depend on how weak or strong one perturbs the quantum system. We also show that the difference of the standard quantum discord and the quantum discord with weak measurements increases as the strength parameter decreases. This means that the weak measurements can capture more quantum discord of a bipartite system. Our results show that the weak measurement performed on one of the subsystems can lead to the quantum discord that is a more natural measure of quantum correlations than the standard quantum discord captured by the projective measurements.
VL  - 9
IS  - 5
ER  -

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Author Information

Mei Bai

School of Physical Science and Technology, Tian Gong University, Tianjin, China
Hong Jia Xu

School of Physical Science and Technology, Tian Gong University, Tianjin, China
Xue Qun Yan

School of Physical Science and Technology, Tian Gong University, Tianjin, China

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Plain Text BibTeX RIS

APA Style

Mei Bai, Hong Jia Xu, Xue Qun Yan. (2020). Dynamics of the Quantum Discord with Weak Measurement for a Two-atom System in Thermal Reservoirs. American Journal of Modern Physics, 9(5), 68-72. https://doi.org/10.11648/j.ajmp.20200905.11

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ACS Style

Mei Bai; Hong Jia Xu; Xue Qun Yan. Dynamics of the Quantum Discord with Weak Measurement for a Two-atom System in Thermal Reservoirs. Am. J. Mod. Phys. 2020, 9(5), 68-72. doi: 10.11648/j.ajmp.20200905.11

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AMA Style

Mei Bai, Hong Jia Xu, Xue Qun Yan. Dynamics of the Quantum Discord with Weak Measurement for a Two-atom System in Thermal Reservoirs. Am J Mod Phys. 2020;9(5):68-72. doi: 10.11648/j.ajmp.20200905.11

Copy | Download

@article{10.11648/j.ajmp.20200905.11,
  author = {Mei Bai and Hong Jia Xu and Xue Qun Yan},
  title = {Dynamics of the Quantum Discord with Weak Measurement for a Two-atom System in Thermal Reservoirs},
  journal = {American Journal of Modern Physics},
  volume = {9},
  number = {5},
  pages = {68-72},
  doi = {10.11648/j.ajmp.20200905.11},
  url = {https://doi.org/10.11648/j.ajmp.20200905.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20200905.11},
  abstract = {Weak measurement is a kind of state partial collapse measurement developed on the basis of von Neumann measurement and positive operator value measurement, which allows us to explore the quantum world which has the least influence on the research system. Based on the weak measurement theory, the dynamics of quantum discord for two isolated atoms in their own thermal reservoirs is presented. We examine the time evolution of both standard quantum discord and quantum discord with weak measurement for the two-atom system, and analyzes the differences between the standard quantum discord and quantum discord with weak measurement in the evolution process with time, as well as the general role of the strength parameter in determing the discord and affecting its dynamic evolution. We show that quantum discords depend on how weak or strong one perturbs the quantum system. We also show that the difference of the standard quantum discord and the quantum discord with weak measurements increases as the strength parameter decreases. This means that the weak measurements can capture more quantum discord of a bipartite system. Our results show that the weak measurement performed on one of the subsystems can lead to the quantum discord that is a more natural measure of quantum correlations than the standard quantum discord captured by the projective measurements.},
 year = {2020}
}

Copy | Download

TY  - JOUR
T1  - Dynamics of the Quantum Discord with Weak Measurement for a Two-atom System in Thermal Reservoirs
AU  - Mei Bai
AU  - Hong Jia Xu
AU  - Xue Qun Yan
Y1  - 2020/11/11
PY  - 2020
N1  - https://doi.org/10.11648/j.ajmp.20200905.11
DO  - 10.11648/j.ajmp.20200905.11
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 68
EP  - 72
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20200905.11
AB  - Weak measurement is a kind of state partial collapse measurement developed on the basis of von Neumann measurement and positive operator value measurement, which allows us to explore the quantum world which has the least influence on the research system. Based on the weak measurement theory, the dynamics of quantum discord for two isolated atoms in their own thermal reservoirs is presented. We examine the time evolution of both standard quantum discord and quantum discord with weak measurement for the two-atom system, and analyzes the differences between the standard quantum discord and quantum discord with weak measurement in the evolution process with time, as well as the general role of the strength parameter in determing the discord and affecting its dynamic evolution. We show that quantum discords depend on how weak or strong one perturbs the quantum system. We also show that the difference of the standard quantum discord and the quantum discord with weak measurements increases as the strength parameter decreases. This means that the weak measurements can capture more quantum discord of a bipartite system. Our results show that the weak measurement performed on one of the subsystems can lead to the quantum discord that is a more natural measure of quantum correlations than the standard quantum discord captured by the projective measurements.
VL  - 9
IS  - 5
ER  -

Copy | Download