论文标题
表征有限温度下量子多体系统的绝热性
Characterizing Adiabaticity in Quantum Many-Body Systems at Finite Temperature
论文作者
论文摘要
量子绝热定理对时间依赖的量子系统至关重要，但是能够在多体系统中定量表征绝热的演变可能是一个挑战。这项工作表明，使用适当的状态和粒子密度指标是一种可行的方法，可以定量确定量子多体系统动态中的绝热程度。该方法还适用于有限温度的系统，这对于量子技术和量子热力学相关方案很重要。通过将量子绝热标准扩展到有限温度，通过将量子绝热标准扩展到有限的结果来讨论记忆效应的重要性：这表明这可能会通过构造产生错误的读数为Quasi-Markovian。由于所提出的方法使仅跟踪系统局部粒子密度的绝热演化程度成为可能，因此它可能适用于非常大的多体系统和实验的理论计算。
The quantum adiabatic theorem is fundamental to time dependent quantum systems, but being able to characterize quantitatively an adiabatic evolution in many-body systems can be a challenge. This work demonstrates that the use of appropriate state and particle-density metrics is a viable method to quantitatively determine the degree of adiabaticity in the dynamic of a quantum many-body system. The method applies also to systems at finite temperature, which is important for quantum technologies and quantum thermodynamics related protocols. The importance of accounting for memory effects is discussed via comparison to results obtained by extending the quantum adiabatic criterion to finite temperatures: it is shown that this may produce false readings being quasi-Markovian by construction. As the proposed method makes it possible to characterize the degree of adiabatic evolution tracking only the system local particle densities, it is potentially applicable to both theoretical calculations of very large many-body systems and to experiments.
