Quasi Many-body Localization in Translation Invariant Systems

Abstract

It is typically assumed that disorder is essential to realize Anderson localization. Recently, a number of proposals have suggested that an interacting, translation invariant system can also exhibit localization. We examine these claims in the context of a one-dimensional spin ladder. At intermediate time scales, we find slow growth of entanglement entropy consistent with the phenomenology of many-body localization. However, at longer times, all finite wavelength spin polarizations decay in a finite time, independent of system size. We identify a single length scale which parametrically controls both the eventual spin transport times and the divergence of the susceptibility to spin glass ordering. We dub this long pre-thermal dynamical behavior, intermediate between full localization and diffusion, quasi-many body localization.

7 pages, 7 figures

References in corpus (22)

• Localization of interacting fermions at high temperature
• Observation of many-body localization of interacting fermions in a quasi-random optical lattice
• Many body localization in Heisenberg XXZ magnet in a random field
• Phenomenology of fully many-body-localized systems
• Many-body localization in a quantum simulator with programmable random disorder
• Many-body localization in a disordered quantum Ising chain
• Many-Body Localization in a Quasiperiodic System
• Observation of Efimov Resonances in a Mixture with Extreme Mass Imbalance
• Creation of a low-entropy quantum gas of polar molecules in an optical lattice
• Spectral features of a many-body localized system weakly coupled to a heat bath
• Interferometric probes of many-body localization
• The dynamics and prethermalization of one dimensional quantum systems probed through the full distributions of quantum noise
• Dynamics in many-body localized quantum systems without disorder
• Spin dynamics in a one-dimensional ferromagnetic Bose gas
• Quantum revivals and many-body localization
• Many-body localization in disorder-free systems: the importance of finite-size constraints
• Marginal Anderson localization and many body delocalization
• Signatures of many-body localisation in a system without disorder and the relation to a glass transition
• A mean-field theory of nearly many-body localized metals
• The XYZ chain with Dzyaloshinsky-Moriya interactions: from spin-orbit-coupled lattice bosons to interacting Kitaev chains
• Quantum Magnetism of Spin-Ladder Compounds with Trapped-Ion Crystals
• Dynamical creation of a supersolid in asymmetric mixtures of bosons

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• Many-Body Localization in Translational Invariant Diamond Ladders with Flat Bands
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• Quasi-Discrete Time Crystals in the quasiperiodically driven Lipkin-Meshkov-Glick model
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