开放期刊系统

非厄米 kicked rotor 系统量子信息动力学的量子-经典对应

戴 卿

摘要

本研究通过相位调制的非厄米kicked rotor系统,揭示了量子非共振条件下定向输运、能量扩散及量子信息置乱动力学的调控机制。理论分析表明,系统平均动量、能量及非时序关联函数(Out-of-Time-Ordered Correlators,OTOCs)在时间演化中呈现渐进饱和行为,其稳态值可通过非厄米kick势的相位实现有效操控。在半经典极限(有效普朗克常数԰ eff→0)下,OTOCs表现出指数增长特性,其增长率与对应厄米系统的经典Lyapunov指数精确一致,首次在非厄米框架下建立了量子动力学与经典混沌的普适性关联。这一发现不仅深化了非平衡量子系统中Floquet工程的理论基础,还为量子混沌操控、非厄米能带调控及开放量子信息处理提供了新的研究范式。

关键词

非厄米kicked rotor系统;量子-经典对应;量子信息置乱

全文:

PDF

参考

[1]A. Kenfack et al.(2008):Investigates the control of the ratchet effect in cold atoms.

[2]C. Hainaut et al.(2018):Studies the ratchet effect in the quantum kicked rotor and its destruction by dynamical localization.

[3]Z. Q. Li et al.(2023):Examines the ratchet current in a PT-symmetric Floquet quantum system.

[4]D. Poletti et al.(2007):Discusses the interaction-induced quantum ratchet effect in a Bose-Einstein condensate.

[5]J. B. Gong and P. Brumer(2001):Investigates coherent control of quantum chaotic diffusion.

[6]M. Bitter and V. Milner(2017):Experimental demonstration of coherent control in quantum chaotic systems.

[7]M. A. Sentef et al.(2020):Studies the quantum to classical crossover of Floquet engineering in correlated quantum systems.

[8]S. Y. Bai and J. H. An(2020):Explores the reactivation of a dissipative quantum battery through Floquet engineering.

[9]C. A. Downing and M. S. Ukhtary(2023):Investigates a quantum battery with quadratic driving.

[10]E. J. Meier et al.(2019):Explores quantum signatures of chaos on a Floquet synthetic lattice.

[11]J. H. Wang et al.(2022):Studies information scrambling dynamics in a fully controllable quantum simulator.

[12]S. Longhi(2017):Investigates localization,quantum resonances,and ratchet acceleration in a periodically kicked PT-symmetric

quantum rotator.


(0 摘要 Views, 0 PDF Downloads)

Refbacks

  • 当前没有refback。