Remanent magnetization: signature of Many-Body Localization in quantum antiferromagnets

Abstract

We study the remanent magnetization in antiferromagnetic, many-body localized quantum spin chains, initialized in a fully magnetized state. Its long time limit is an order parameter for the localization transition, which is readily accessible by standard experimental probes in magnets. We analytically calculate its value in the strong-disorder regime exploiting the explicit construction of quasi-local conserved quantities of the localized phase. We discuss analogies in cold atomic systems.

Misprints corrected, citations added

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• Random Transverse Field Spin-Glass Model on the Cayley tree : phase transition between the two Many-Body-Localized Phases
• Tower of two-dimensional scar states in a localized system
• Strong Disorder Renormalization for the dynamics of Many-Body-Localized systems : iterative elimination of the fastest degree of freedom via the Floquet expansion
• Step Heat Profile in Localized Chains
• Many-Body-Localization : Strong Disorder perturbative approach for the Local Integrals of Motion
• Even and odd normalized zero modes in random interacting Majorana models respecting the Parity $P$ and the Time-Reversal-Symmetry $T$
• Quench dynamics of two component dipolar fermions subject to a quasiperiodic potential
• Construction of Many-Body-Localized Models where all the eigenstates are Matrix-Product-States
• Fluctuation driven transitions in localized insulators: Intermittent metallicity and path chaos precede delocalization