Absence of localization in interacting spin chains with a discrete symmetry

Abstract

We prove that spin chains symmetric under a combination of mirror and spin-flip symmetries and with a nondegenerate spectrum show finite spin transport at zero total magnetization and infinite temperature. We demonstrate this numerically using two prominent examples: the Stark many-body localization system and the symmetrized many-body localization system. We provide evidence of delocalization at all energy densities and show that the delocalization mechanism is robust to breaking the symmetry. We use our results to construct two localized systems which, when coupled, delocalize each other.

Main text: 4+$\epsilon$ pages, 4 figures. Supplemental material: 7 pages, 3 figures

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• Discrete time-crystals in unbounded potentials
• Non-thermal eigenstates and slow relaxation in quantum Fredkin spin chains
• Giant rectification in strongly-interacting driven tilted systems
• Superconducting Quantum Simulation for Many-Body Physics beyond Equilibrium
• Stark Many-Body Localisation Under Periodic Driving
• Investigating Stark many-body localization with continuous unitary transformation flows