标题： 强相互作用混沌晶格气体的本征态热化与非单调分布 显示英文标题

标题： Eigenstate thermalization to non-monotonic distributions in strongly-interacting chaotic lattice gases

摘要： 我们在强相互作用的多体混沌系统中发现了非单调的平衡能量分布，这与费米-狄拉克和玻色-爱因斯坦形式完全不同。 这种效应出现在具有有限能谱的系统中，在量子遍历性区域支持正温度和负温度。 这些结果得到了混沌费米-哈伯德模型和玻色-哈伯德模型精确对角化计算的支持，当它们具有 Wigner-Dyson 能量谱统计并且表现出本征态热化时。 所提出的效应可能在光学晶格中的冷原子实验中被观察到。 显示英文摘要

摘要： We find non-monotonic equilibrium energy distributions, qualitatively different from the Fermi-Dirac and Bose-Einstein forms, in strongly-interacting many-body chaotic systems. The effect emerges in systems with finite energy spectra, supporting both positive and negative temperatures, in the regime of quantum ergodicity. The results are supported by exact diagonalization calculations for chaotic Fermi-Hubbard and Bose-Hubbard models, when they have Wigner-Dyson statistics of energy spectra and demonstrate eigenstate thermalization. The proposed effects may be observed in experiments with cold atoms in optical lattices.