Quantum complexity of finite-temperature charged particle in magnetic field

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics Pub Date : 2026-05-01 Epub Date: 2026-02-06 DOI:10.1016/j.aop.2026.170388

M. Radomirov

引用次数: 0

Abstract

In this work, we explore the circuit quantum complexity of a charged particle subjected to an external magnetic field at finite temperature. Using the Nielsen geometric approach, we compute the complexity of the thermofield double state as a function of time, temperature, and cyclotron frequency. We also analyze the oscillatory behavior of the complexity amplitude across different parameter regimes, demonstrating that these features cannot be recovered as a limiting case of the harmonic oscillator. Finally, we evaluate the complexity growth rate and show that it respects the Lloyd bound.

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磁场中有限温度带电粒子的量子复杂性

在这项工作中，我们探索了在有限温度下受外加磁场作用的带电粒子的电路量子复杂性。利用尼尔森几何方法，我们计算了热场双态的复杂性作为时间、温度和回旋加速器频率的函数。我们还分析了复杂性振幅在不同参数范围内的振荡行为，证明了这些特征在谐振子的极限情况下是不能恢复的。最后，我们评估了复杂性增长率，并证明它遵从劳埃德界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annals of Physics 物理-物理：综合

CiteScore

5.30

自引率

3.30%

发文量

211

审稿时长

47 days

期刊介绍： Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.