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量子姆潘巴效应的几何模式操控

Geometric Mode Steering of the Quantum Mpemba Effect

Yingying Hong, Longxing Xu, Weiwei Zhang, Jie Ren, Jianhui Wang

arXiv 2607.14501首次发表:更新:

AI 中文总结

研究开放量子系统向稳态松弛中最慢刘维尔模式瓶颈问题,提出预耗散几何操控协议,通过相干旋转与测量重塑态,抑制与最慢模式重叠,满足条件时实现量子姆潘巴效应,在多系统中展示了加速效果。

AI 中文摘要

开放量子系统向稳态松弛时,最慢的刘维尔模式常成为瓶颈。标准策略常通过选择特殊初始状态或设计耗散器来规避。本文表明这些并非必要。我们引入一种预耗散几何操控协议,在固定林德布拉德生成元下,通过相干旋转与非选择性投影测量交错,在松弛开始前重塑任意纯态或混合态。通过沿测地线路径操控态的布洛赫方向,该协议抑制其与最慢刘维尔模式的重叠。当两个可计算条件满足时,制备的态起始远离平衡但松弛更快,实现量子姆潘巴效应。我们的框架统一处理实部和复部谱隙,并在囚禁离子和超导平台的驱动量子比特和多量子比特系统中展示了稳健的姆潘巴加速。

英文摘要

The slowest Liouvillian mode often bottlenecks the relaxation of an open quantum system to its steady state. Standard strategies circumvent this bottleneck by selecting special initial states or engineering the dissipator. Here we show that neither is necessary. We introduce a pre-dissipative geometric steering protocol that reshapes any given pure or mixed state before relaxation begins -- coherent rotations interleaved with nonselective projective measurements -- at fixed Lindblad generator. By steering the state's Bloch direction along geodesic paths, the protocol suppresses its overlap with the slowest Liouvillian modes. The prepared state then starts farther from equilibrium yet relaxes faster, realizing the quantum Mpemba effect, whenever two computable conditions hold: reduced slow-mode overlap and a larger initial distance to stationarity. Our framework treats real and complex spectral gaps uniformly, and we demonstrate robust Mpemba acceleration in driven qubit and multiqubit systems using operations available in trapped-ion and superconducting platforms.

论文原文

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