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arXiv 2607.11137quant-ph

量子磁振子的退相干:场 - 热库相互作用的影响

Decoherence of a quantum magneto-oscillator: Effect of field-bath interaction

Koushik Mandal, Suraka Bhattacharjee, Supurna Sinha

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中文总结 AI 辅助

研究带电磁振子与热库耦合的量子耗散动力学,通过广义量子朗之万方程和非马尔可夫主方程,探讨场 - 热库耦合对退相干率等的影响,分析涨落 - 耗散关系并给出实验方案,揭示热库工程在量子技术中的作用。

中文摘要 AI 辅助

我们研究了一个带电磁振子(CMO)在存在额外场 - 热库相互作用的情况下,与简谐振子热库耦合的量子耗散动力学。该问题在广义量子朗之万方程框架内表述,外部限制势改变了随机力关联、环境的记忆核以及有效弹簧常数。利用相应的非马尔可夫主方程,我们研究了场 - 热库耦合对系统约化密度矩阵时间衰减的影响。结果表明额外相互作用通过改变热库的耗散响应导致退相干率增强。分析了由此产生的涨落 - 耗散关系,明确得到了位置自相关、位置 - 速度相关和速度自相关。讨论了这些可通过实验获取的量对场 - 热库耦合参数的依赖性。我们概述了一个测试理论预测的实验方案。该研究揭示了对量子技术至关重要的热库工程。

英文摘要

We investigate the quantum dissipative dynamics of a charged magneto-oscillator(CMO) coupled to a heat bath of harmonic oscillators in the presence of an additional field-bath interaction. The problem is formulated within the framework of the generalized quantum Langevin equation, where the external confining potential modifies the random force correlations and the memory kernel of the environment, and the effective spring constant. Using the corresponding non-Markovian master equation, we examine the influence of the field-bath coupling on the temporal decay of the reduced density matrix of the system. We show that the additional interaction leads to an enhancement of the decoherence rate by altering the dissipative response of the bath. Thus our results shed light on the role of field-bath coupling in the quantum to classical transition of a CMO. The resulting fluctuation-dissipation relation is analyzed, and the position autocorrelation, position-velocity correlation and velocity autocorrelation are obtained explicitly. The dependence of these experimentally accessible quantities on the field-bath coupling parameter is discussed. We outline an experimental proposal for testing our theoretical predictions. The study sheds light on reservoir engineering which is central to quantum technologies.

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