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

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.

comments most welcome!

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Cited by in corpus (9)

• Suppressing chaos with mixed superconducting qubit devices
• Many-body phases from effective geometrical frustration and long-range interactions in a subwavelength lattice
• Critical Exponent of Dynamical Quantum Phase Transition in One-Dimensional Bose-Hubbard Model in the Strong Interacting Limit
• Few-Photon Fluorescence from Ultracold Bosons in an Optical Cavity
• Finite temperature phase diagram of the extended Bose-Hubbard model in the presence of disorder
• One dimensional Bose-Hubbard model with long range hopping
• Engineering long-range and multi-body interactions via global kinetic constraints
• Extended Bose-Hubbard Model on Small Grids: Exact Diagonalization and Monte Carlo Studies
• Geometrical frustration, power law tunneling and non-local gauge fields from scattered light