Dephasing Dynamics in a Non-Equilibrium Fluctuating Environment
We performed a theoretical study of the dephasing dynamics of a quantum two-state system under the influences of a non-equilibrium fluctuating environment. The effect of the environmental non-equilibrium fluctuations on the quantum system is described by a generalized random telegraph noise (RTN) pr...
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MDPI AG
2023-04-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/25/4/634 |
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| author | Xiangjia Meng Yaxin Sun Qinglong Wang Jing Ren Xiangji Cai Artur Czerwinski |
| author_facet | Xiangjia Meng Yaxin Sun Qinglong Wang Jing Ren Xiangji Cai Artur Czerwinski |
| author_sort | Xiangjia Meng |
| collection | DOAJ |
| description | We performed a theoretical study of the dephasing dynamics of a quantum two-state system under the influences of a non-equilibrium fluctuating environment. The effect of the environmental non-equilibrium fluctuations on the quantum system is described by a generalized random telegraph noise (RTN) process, of which the statistical properties are both non-stationary and non-Markovian. Due to the time-homogeneous property in the master equations for the multi-time probability distribution, the decoherence factor induced by the generalized RTN with a modulatable-type memory kernel can be exactly derived by means of a closed fourth-order differential equation with respect to time. In some special limit cases, the decoherence factor recovers to the expression of the previous ones. We analyzed in detail the environmental effect of memory modulation in the dynamical dephasing in four types of dynamics regimes. The results showed that the dynamical dephasing of the quantum system and the conversion between the Markovian and non-Markovian characters in the dephasing dynamics under the influence of the generalized RTN can be effectively modulated via the environmental memory kernel. |
| first_indexed | 2024-03-11T05:03:13Z |
| format | Article |
| id | doaj.art-83f004ca012f473c94966c43d486a856 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-11T05:03:13Z |
| publishDate | 2023-04-01 |
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| series | Entropy |
| spelling | doaj.art-83f004ca012f473c94966c43d486a8562023-11-17T19:08:52ZengMDPI AGEntropy1099-43002023-04-0125463410.3390/e25040634Dephasing Dynamics in a Non-Equilibrium Fluctuating EnvironmentXiangjia Meng0Yaxin Sun1Qinglong Wang2Jing Ren3Xiangji Cai4Artur Czerwinski5School of Information Engineering, Shandong Youth University of Political Science, Jinan 250103, ChinaSchool of Science, Shandong Jianzhu University, Jinan 250101, ChinaSchool of Science, Shandong Jianzhu University, Jinan 250101, ChinaSchool of Science, Shandong Jianzhu University, Jinan 250101, ChinaSchool of Science, Shandong Jianzhu University, Jinan 250101, ChinaInstitute of Physics, Faculty of Physics, Astronomy and Intypeatics, Nicolaus Copernicus University in Torun, ul. Grudziadzka 5, 87-100 Torun, PolandWe performed a theoretical study of the dephasing dynamics of a quantum two-state system under the influences of a non-equilibrium fluctuating environment. The effect of the environmental non-equilibrium fluctuations on the quantum system is described by a generalized random telegraph noise (RTN) process, of which the statistical properties are both non-stationary and non-Markovian. Due to the time-homogeneous property in the master equations for the multi-time probability distribution, the decoherence factor induced by the generalized RTN with a modulatable-type memory kernel can be exactly derived by means of a closed fourth-order differential equation with respect to time. In some special limit cases, the decoherence factor recovers to the expression of the previous ones. We analyzed in detail the environmental effect of memory modulation in the dynamical dephasing in four types of dynamics regimes. The results showed that the dynamical dephasing of the quantum system and the conversion between the Markovian and non-Markovian characters in the dephasing dynamics under the influence of the generalized RTN can be effectively modulated via the environmental memory kernel.https://www.mdpi.com/1099-4300/25/4/634open quantum systemsdecoherencenon-equilibrium environmental fluctuations |
| spellingShingle | Xiangjia Meng Yaxin Sun Qinglong Wang Jing Ren Xiangji Cai Artur Czerwinski Dephasing Dynamics in a Non-Equilibrium Fluctuating Environment Entropy open quantum systems decoherence non-equilibrium environmental fluctuations |
| title | Dephasing Dynamics in a Non-Equilibrium Fluctuating Environment |
| title_full | Dephasing Dynamics in a Non-Equilibrium Fluctuating Environment |
| title_fullStr | Dephasing Dynamics in a Non-Equilibrium Fluctuating Environment |
| title_full_unstemmed | Dephasing Dynamics in a Non-Equilibrium Fluctuating Environment |
| title_short | Dephasing Dynamics in a Non-Equilibrium Fluctuating Environment |
| title_sort | dephasing dynamics in a non equilibrium fluctuating environment |
| topic | open quantum systems decoherence non-equilibrium environmental fluctuations |
| url | https://www.mdpi.com/1099-4300/25/4/634 |
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