Locality, entanglement, and thermalization of isolated quantum systems.
Locality, entanglement, and thermalization of isolated quantum systems.
复制标题
孤立量子系统的局域性、纠缠和热化。
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
M. Kruczenski
中科院分区：
文献类型：
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作者：
S. Khlebnikov;M. Kruczenski
理解孤立系统热化的一种方法是将其解释为子系统之间纠缠的增加。在这里，我们测试这一想法，通过分析和Krylov子空间为基础的数值方法相结合，适用于量子气体的玻色子。我们发现，在演化的初始状态，子系统的纠缠熵迅速产生，并迅速接近热熵值。我们的研究结果还提供了一个准确的数值测试的本征态热化假设（ETH），根据该假设，一个孤立的系统的单个能量本征态的行为在某些方面作为一个热态。在量子黑洞的背景下，我们提出ETH是经典无毛定理的量子版本。
A way to understand thermalization in an isolated system is to interpret it as an increase in entanglement between subsystems. Here we test this idea through a combination of analytical and Krylov-subspace-based numerical methods applied to a quantum gas of bosons. We find that the entanglement entropy of a subsystem is rapidly generated at the initial state of the evolution, to quickly approach the thermal value. Our results also provide an accurate numerical test of the eigenstate thermalization hypothesis (ETH), according to which a single energy eigenstate of an isolated system behaves in certain respects as a thermal state. In the context of quantum black holes, we propose that the ETH is a quantum version of the classical no-hair theorem.