论文标题

在密集的许多身体系统的量子跳跃模型中失去了恐怖性,具有排斥性相互作用

Loss of ergodicity in a quantum hopping model of a dense many body system with repulsive interactions

论文作者

Matsuyama, Kazue

论文摘要

在这项工作中,我们报告了一个简单的跳跃模型中的丧失,这是由哈伯德·哈密顿(Hubbard Hamiltonian)驱动的,该模型在零温度下的许多人体量子系统的驱动力,在欧几里得时代进行了量化。我们表明,由于Pauli的排斥和强烈的库仑排斥,这种量子系统可能会在高密度上失去高密度的奇迹性。特别是我们研究颗粒跳跃的敏感性和粒子定位的趋势。发现在该模型中,在高密度和强库仑排斥的情况下,量子相变的外观和存在取决于数值模拟中粒子轨迹的启动构型。我们认为,这种分解可能是实时量化中本征态热假说分解的欧几里得时间版本。

In this work we report on a loss of ergodicity in a simple hopping model, motivated by the Hubbard Hamiltonian, of a many body quantum system at zero temperature, quantized in Euclidean time. We show that this quantum system may lose ergodicity at high densities on a large lattice, as a result of both Pauli exclusion and strong Coulomb repulsion. In particular we study particle hopping susceptibilities and the tendency towards particle localization. It is found that the appearance and existence of quantum phase transitions in this model, in the case of high density and strong Coulomb repulsion, depends on the starting configuration of particle trajectories in the numerical simulation. We argue that this breakdown may be the Euclidean time version of a breakdown of the eigenstate thermalization hypothesis in real time quantization.

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