Abstract
Many-body localization is a unique physical phenomenon driven by interactions and disorder for which a quantum system can evade thermalization. While the existence of a many-body localized phase is now well-established in one-dimensional systems, its fate in higher dimension is an open question. We present evidence for the occurrence of a transition to a many-body localized regime in a two-dimensional quantum dimer model with interactions and disorder. Our analysis is based on the results of large-scale simulations for static and dynamical properties of a consequent number of observables. Our results pave the way for a generic understanding of occurrence of a many-body localization transition in dimension larger than one, and highlight the unusual quantum dynamics that can be present in constrained systems.
Highlights
The emergence of thermalization in isolated quantum systems, which are not in contact with a bath and solely follow unitary Hamiltonian dynamics, has long been a central issue in statistical mechanics [1,2,3]
In conclusion of this section, we find that a neural network only fed with entanglement spectra is able to learn how to correctly distinguish the eigenstate thermalization hypothesis (ETH) and many-body localization (MBL) phases for the quantum dimer model with random potential Eq (1) as well as to provide finite-size estimates of the transition point between the two
We presented a comprehensive and extensive large-scale exact numerical study of the localization properties of a twodimensional constrained quantum many-body system with disorder
Summary
The emergence of thermalization in isolated quantum systems, which are not in contact with a bath and solely follow unitary Hamiltonian dynamics, has long been a central issue in statistical mechanics [1,2,3]. The existence of many-body localization in one dimension is established and reasonably well understood in one-dimensional (1D) quantum lattice systems with shortrange interactions, thanks to a concerted effort of approaches, including numerical simulations [21,22,23], phenomenological renormalization [24,25,26,27,28] approaches, rigorous results [29,30], and cold-atom experiments [31,32,33] Crucial to this understanding is the provable [29] existence of local integral of motions [34,35], denoted as l-bits (for localized bits): These emergent localized operators, which diagonalize the Hamiltonian of the system at strong disorder, explain most of the salient features of the MBL phase [36].
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