Many-body spectral reflection symmetry and protected infinite-temperature degeneracy

Article

关键词: QUANTUM-STATISTICAL-MECHANICS;    THERMALIZATION;    SUPERSYMMETRY;    BREAKING;    SYSTEM;    SOLITONS;    DYNAMICS;    CHAOS;   

DOI  :  10.1103/PhysRevB.98.035139

来源: SCIE

【 摘 要 】

Protected zero modes in quantum physics traditionally arise in the context of ground states of many-body Hamiltonians. Here we study the case where zero modes exist in the center of a reflection-symmetric many-body spectrum, giving rise to the notion of a protected infinite-temperature degeneracy. For a certain class of nonintegrable spin chains, we show that the number of zero modes is determined by a chiral index that grows exponentially with system size. We propose a dynamical protocol, feasible in ongoing experiments in Rydberg atom quantum simulators, to detect these many-body zero modes and their protecting spectral reflection symmetry. Finally, we consider whether the zero-energy states obey the eigenstate thermalization hypothesis, as is expected of states in the middle of the many-body spectrum. We find intriguing differences in their eigenstate properties relative to those of nearby nonzero-energy eigenstates at finite system sizes.

【 授权许可】

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