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Time fractional evolution of a single quantum state and entangled state

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  • Zu, Chuanjin
  • Gao, Yanming
  • Yu, Xiangyang

Abstract

Memory effect of time fractional Schrödinger equation plays a significant role in evolution of a single quantum state and quantum entanglement. We investigate the time fractional evolution of a single quantum state and entangled state respectively. Comparing to the results of standard Schrödinger equation, we find that the influence of memory action is unstable, which will change over time until the result is opposite to the initial effect. Our study might provide a new perspective on the role of time fractional Schrödinger equation.

Suggested Citation

  • Zu, Chuanjin & Gao, Yanming & Yu, Xiangyang, 2021. "Time fractional evolution of a single quantum state and entangled state," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    • Handle: RePEc:eee:chsofr:v:147:y:2021:i:c:s0960077921002848
    DOI: 10.1016/j.chaos.2021.110930
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    References listed on IDEAS

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    Cited by:

    1. Souissi, Abdessatar & Mukhamedov, Farrukh & Soueidi, El Gheteb & Rhaima, Mohamed & Mukhamedova, Farzona, 2024. "Entangled hidden elephant random walk model," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    2. Zu, Chuanjin & Yu, Xiangyang, 2022. "Time fractional Schrödinger equation with a limit based fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    3. El Allati, A. & Bukbech, S. & El Anouz, K. & El Allali, Z., 2024. "Entanglement versus Bell non-locality via solving the fractional Schrödinger equation using the twisting model," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).

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