A semi-classical limit for the many-body localization transition

Abstract

We introduce a semi-classical limit for many-body localization in the absence of global symmetries. Microscopically, this limit is realized by disordered Floquet circuits composed of Clifford gates. In $d=1$, the resulting dynamics are always many-body localized with a complete set of strictly local integrals of motion. In $d\ge 2$, the system realizes both localized and delocalized phases separated by a continuous transition in which ergodic puddles percolate. We argue that the phases are stable to deformations away from the semi-classical limit and estimate the resulting phase boundary. The Clifford circuit model is a distinct tractable limit from that of free fermions and suggests bounds on the critical exponents for the generic transition.

5 pages, 4 figures

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Cited by in corpus (6)

• Extended nonergodic states in disordered many-body quantum systems
• Exact solution of a percolation analogue for the many-body localisation transition
• Statistical Bubble Localization with Random Interactions
• Hilbert Space Fragmentation and Ashkin-Teller Criticality in Fluctuation Coupled Ising Models
• Entanglement transitions from restricted Boltzmann machines
• Tri-unitary quantum circuits