Recent progress on quantum simulations of non-standard Bose-Hubbard models

TL;DR

This paper reviews recent theoretical and experimental advances in quantum simulations of non-standard Bose-Hubbard models, emphasizing long-range interactions, emergent quantum phases, and non-ergodic dynamics in ultra-cold bosonic systems.

Contribution

It provides a comprehensive overview of recent progress in modeling and understanding complex long-range interacting bosonic systems with experimental insights.

Findings

Observation of quantum criticality beyond Landau paradigm

Identification of bond-order wave insulators

Non-ergodic dynamics in strongly interacting systems

Abstract

In recent years, the systems comprising of bosonic atoms confined to optical lattices at ultra-cold temperatures have demonstrated tremendous potential to unveil novel quantum mechanical effects appearing in lattice boson models with various kinds of interactions. In this progress report, we aim to provide an exposition to recent advancements in quantum simulations of such systems, modeled by different "non-standard" Bose-Hubbard models, focusing primarily on long-range systems with dipole-dipole or cavity-mediated interactions. Through a carefully curated selection of topics, which includes the emergence of quantum criticality beyond Landau paradigm, bond-order wave insulators, the role of interaction-induced tunneling, the influence of transverse confinement on observed phases, or the effect of cavity-mediated all-to-all interactions, we report both theoretical and experimental developments from the last few years. Additionally, we discuss the real-time evolution of systems with long-range interactions, where sufficiently strong interactions render the dynamics non-ergodic. And finally to cap our discussions off, we survey recent experimental achievements in this rapidly evolving field, underscoring its interdisciplinary significance and potential for groundbreaking discoveries.