Persistent dark states in anisotropic central spin models

Author:

Villazon Tamiro,Claeys Pieter W.,Pandey Mohit,Polkovnikov Anatoli,Chandran Anushya

Abstract

AbstractLong-lived dark states, in which an experimentally accessible qubit is not in thermal equilibrium with a surrounding spin bath, are pervasive in solid-state systems. We explain the ubiquity of dark states in a large class of inhomogeneous central spin models using the proximity to integrable lines with exact dark eigenstates. At numerically accessible sizes, dark states persist as eigenstates at large deviations from integrability, and the qubit retains memory of its initial polarization at long times. Although the eigenstates of the system are chaotic, exhibiting exponential sensitivity to small perturbations, they do not satisfy the eigenstate thermalization hypothesis. Rather, we predict long relaxation times that increase exponentially with system size. We propose that this intermediate chaotic but non-ergodic regime characterizes mesoscopic quantum dot and diamond defect systems, as we see no numerical tendency towards conventional thermalization with a finite relaxation time.

Funder

National Science Foundation

Engineering and Physical Sciences Research Council

Belgian American Educational Foundation

Francqui Foundation Fellowship

Banco Santander Boston University-National University of Singapore grant

Air Force Office of Scientific Research

Sloan Research Fellowship

Publisher

Springer Science and Business Media LLC

Subject

Multidisciplinary

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