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arXiv 2005.06416quant-phcond-mat.stat-mechmath-phmath.MP
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热态的量子速度极限

Quantum speed limit for thermal states

Nikolai Il`in, Oleg Lychkovskiy

摘要:

量子速度极限是对量子系统的状态在量子演化过程中离开初始状态的速度的严格估计。大多数已知的量子速度极限,包括著名的Mandelstam-Tamm和Margolus-Levitin,都是适用于任意初始状态的一般界限。然而,当应用于多体系统的混合态时,它们通常会大大高估量子演化的速度,并且无法在热力学极限中提供有意义的界限。在这里,我们推导出一个封闭系统的量子速度极限,最初准备在一个热态和下的时间依赖的哈密顿量。这个量子速度限制利用了热态的结构,特别是明确地依赖于温度。在广泛的多体系统中,它被证明比一般的量子速度极限要强得多。

英文摘要:

Quantum speed limits are rigorous estimates on how fast a state of a quantum system can depart from the initial state in the course of quantum evolution. Most known quantum speed limits, including the celebrated Mandelstam-Tamm and Margolus-Levitin ones, are general bounds applicable to arbitrary initial states. However, when applied to mixed states of many-body systems, they, as a rule, dramatically overestimate the speed of quantum evolution and fail to provide meaningful bounds in the thermodynamic limit. Here we derive a quantum speed limit for a closed system initially prepared in a thermal state and evolving under a time-dependent Hamiltonian. This quantum speed limit exploits the structure of the thermal state and, in particular, explicitly depends on the temperature. In a broad class of many-body setups it proves to be drastically stronger than general quantum speed limits.

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。

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