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Quantum speed limit for time-fractional open systems

Author

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  • Wei, Dongmei
  • Liu, Hailing
  • Li, Yongmei
  • Gao, Fei
  • Qin, Sujuan
  • Wen, Qiaoyan

Abstract

The Time-Fractional Schrödinger Equation (TFSE) is well-adjusted to study a quantum system interacting with its dissipative environment. The Quantum Speed Limit (QSL) time captures the shortest time required for a quantum system to evolve between two states, which is significant for evaluating the maximum speed in quantum processes. In this work, we solve exactly for a generic time-fractional single qubit open system by applying the TFSE to a basic open quantum system model, namely the resonant dissipative Jaynes–Cummings (JC) model, and investigate the QSL time for the system. It is shown that the non-Markovian memory effects of the environment can accelerate the time-fractional quantum evolution, thus resulting in a smaller QSL time. Additionally, the condition for the acceleration evolution of the time-fractional open quantum system at a given driving time, i.e., a tradeoff among the fractional order, coupling strength and photon number, is brought to light. In particular, a method to manipulate the non-Markovian dynamics of a time-fractional open quantum system by adjusting the fractional order for a long driving time is presented.

Suggested Citation

  • Wei, Dongmei & Liu, Hailing & Li, Yongmei & Gao, Fei & Qin, Sujuan & Wen, Qiaoyan, 2023. "Quantum speed limit for time-fractional open systems," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    • Handle: RePEc:eee:chsofr:v:175:y:2023:i:p2:s0960077923009669
    DOI: 10.1016/j.chaos.2023.114065
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    References listed on IDEAS

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