Many body localization proximity effects in platforms of coupled spins and bosons

Abstract

We discuss the onset of many body localisation in a one-dimensional system composed of a XXZ quantum spin chain and a Bose-Hubbard model linearly coupled together. We consider two complementary setups depending whether spatial disorder is initially imprinted on spins or on bosons; in both cases, we explore the conditions for the disordered portion of the system to localise by proximity of the other clean half. Assuming that the dynamics of one of the two parts develops on shorter time scales than the other, we can adiabatically eliminate the fast degrees of freedom, and derive an effective hamiltonian for the system's remainder using projection operator techniques. Performing a locator expansion on the strength of the many-body interaction term or on the hopping amplitude of the effective hamiltonian thus derived, we present results on the stability of the many body localised phases induced by proximity effect. We also briefly comment on the feasibility of the proposed model through modern quantum optics architectures, with the long-term perspective to realize experimentally, in composite open systems, Anderson or many-body localisation proximity effects.

8 pages, 1 figure

References in corpus (21)

• Many body localization and thermalization in quantum statistical mechanics
• Localization of interacting fermions at high temperature
• Many body localization in Heisenberg XXZ magnet in a random field
• Phenomenology of fully many-body-localized systems
• Integrals of motion in the Many-Body localized phase
• Quantum Many-Body Phenomena in Coupled Cavity Arrays
• Recent progress in many-body localization
• Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
• Signatures of Many-Body Localization in a Controlled Open Quantum System
• Low-Disorder Microwave Cavity Lattices for Quantum Simulation with Photons
• How a small quantum bath can thermalize long localized chains
• Many-body phenomena in QED-cavity arrays
• Many body localization with long range interactions
• Marginal Anderson localization and many body delocalization
• Entanglement Complexity in Quantum Many-Body Dynamics, Thermalization and Localization
• A mean-field theory of nearly many-body localized metals
• Electron transport in disordered Luttinger liquid
• Thermal inclusions: how one spin can destroy a many-body localized phase
• Characterizing the many-body localization transition through the entanglement spectrum
• Emergent local integrals of motion without a complete set of localized eigenstates
• Many body localization and delocalization in the two dimensional continuum

Cited by in corpus (11)

• Entanglement transition from variable-strength weak measurements
• Many-body delocalization in the presence of a quantum bath
• Activating many-body localization in solids by driving with light
• Exploring many-body localization in quantum systems coupled to an environment via Wegner-Wilson flows
• Critical behavior near the many-body localization transition in driven open systems
• Diagnostics of nonergodic extended states and many body localization proximity effect through real-space and Fock-space excitations
• Ergodic-localized junctions in periodically-driven systems
• Many-body localization proximity effect in two-species bosonic Hubbard model
• Emergent statistical bubble localization in a Z2 lattice gauge theory
• Robust extended states in Anderson model on partially disordered random regular graphs
• Stability and Dynamics of Many-Body Localized Systems Coupled to Small Bath