arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2512.04028quant-ph
收藏

耦合振子中通过淬火实现热化

Thermalization from quenching in coupled oscillators

M. Harinarayanan, Karthik Rajeev

AI总结:

通过耦合振子的淬火协议实现量子谐振子的高效热化,提供精确解析解和数值解,适用于量子热力学实验和态制备。

摘要:

我们介绍了一种有限时间协议,用于热化初始处于基态的量子谐振子,而无需借助宏观热浴。该方法使用第二个振子作为有效的环境,并实现振子频率和耦合的突然淬火。由于动力学的高斯性质,热化条件简化为三个可解方程,从而为密集离散温度集提供精确解析解,在其他情况下则提供数值解。任何目标温度均可任意精确地近似,但需在速度和准确性之间进行权衡。该协议的简洁性使其成为量子热力学实验和态制备中快速、可控热化的重要工具。

英文摘要:

We introduce a finite-time protocol that thermalizes a quantum harmonic oscillator, initially in its ground state, without requiring a macroscopic bath. The method uses a second oscillator as an effective environment and implements sudden quenches of the oscillator frequencies and coupling. Owing to the Gaussian nature of the dynamics, the thermalization condition reduces to three solvable equations, yielding exact analytic solutions for a dense discrete set of temperatures and numerical solutions in all other cases. Any target temperature can be approximated with arbitrary precision, with a trade-off between speed and accuracy. The simplicity of the protocol makes it a promising tool for rapid, controlled thermalization in quantum thermodynamics experiments and state preparation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑