Quantum speed limit for time-fractional open systems

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

Chaos, Solitons & Fractals, 2023, vol. 175, issue P2

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.

Keywords: Time-fractional open quantum system; Quantum speed limit time; Time-fractional Schrödinger equation; Non-Markovian memory effects; Time-fractional quantum dynamics (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:175:y:2023:i:p2:s0960077923009669

DOI: 10.1016/j.chaos.2023.114065

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