Many-body delocalization transition and relaxation in a quantum dot

Article

关键词: METAL-INSULATOR-TRANSITION;    QUASI-PARTICLE LIFETIME;    SPARSE RANDOM MATRICES;    BETHE LATTICE;    ANDERSON TRANSITION;    LOCALIZATION TRANSITION;    CRITICAL-BEHAVIOR;    LEVEL STATISTICS;    GRADED SYMMETRY;    FERMI SYSTEMS;   

DOI  :  10.1103/PhysRevB.93.125419

来源: SCIE

【 摘 要 】

We revisit the problem of quantum localization of many-body states in a quantum dot and the associated problem of relaxation of an excited state in a finite correlated electron system. We determine the localization threshold for the eigenstates in Fock space. We argue that the localization-delocalization transition (which manifests itself, e.g., in the statistics of many-body energy levels) becomes sharp in the limit of a large dimensionless conductance (or, equivalently, in the limit of weak interaction). We also analyze the temporal relaxation of quantum states of various types (a hot-electron state, a typical many-body state, and a single-electron excitation added to a thermal state) with energies below, at, and above the transition.

【 授权许可】

Free