The dipolar Bose-Hubbard model

• URL: http://arxiv.org/abs/2201.04132v3
• Date: Wed, 17 Aug 2022 15:25:41 GMT
• Title: The dipolar Bose-Hubbard model
• Authors: Ethan Lake, Michael Hermele, T. Senthil
• Abstract summary: We study a simple model of interacting bosons on a d-dimensional cubic lattice whose dynamics conserves both total boson number and total boson dipole moment. As a function of chemical potential and hopping strength, the model can be tuned between gapped Mott insulating phases and various types of gapless condensates.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study a simple model of interacting bosons on a d-dimensional cubic lattice whose dynamics conserves both total boson number and total boson dipole moment. This model provides a simple framework in which several remarkable consequences of dipole conservation can be explored. As a function of chemical potential and hopping strength, the model can be tuned between gapped Mott insulating phases and various types of gapless condensates. The condensed phase realized at large hopping strengths, which we dub a Bose-Einstein insulator, is particularly interesting: despite having a Bose condensate, it is insulating, and despite being an insulator, it is compressible.

Related papers

• Weak and strong coupling polarons in binary Bose-Einstein condensates [5.356826859571684]
  The Bose polaron is a quasiparticle that arises from the interaction between impurities and Bogoliubov excitation in Bose-Einstein condensates. We investigate the effect of phase separation on weakly coupled and strongly coupled Bose polarons.
  arXiv  Detail & Related papers  (2024-01-22T10:11:47Z)
• On Bose-Einstein condensation in interacting Bose gases in the Kac-Luttinger model [0.0]
  We study interacting Bose gases of dimensions $2le d in mathbb N$ at zero temperature. We prove (complete) Bose-Einstein condensation in probability or with probability almost one into the minimizer of a Hartree-type functional.
  arXiv  Detail & Related papers  (2023-12-22T01:13:07Z)
• Higher-order topological Peierls insulator in a two-dimensional atom-cavity system [58.720142291102135]
  We show how photon-mediated interactions give rise to a plaquette-ordered bond pattern in the atomic ground state. The pattern opens a non-trivial topological gap in 2D, resulting in a higher-order topological phase hosting corner states. Our work shows how atomic quantum simulators can be harnessed to investigate novel strongly-correlated topological phenomena.
  arXiv  Detail & Related papers  (2023-05-05T10:25:14Z)
• Fractonic Luttinger Liquids and Supersolids in a Constrained Bose-Hubbard Model [0.0]
  We show the existence of a variety of exotic quantum phases in the ground states of a Bose-Hubbard model in one dimension. For integer boson fillings, we perform a mapping of the system to a model of microscopic local dipoles, which are composites of fractons. We apply a combination of low-energy field theory and large-scale tensor network simulations to demonstrate the emergence of a dipole Luttinger liquid phase.
  arXiv  Detail & Related papers  (2022-10-20T07:51:20Z)
• Dipole condensates in tilted Bose-Hubbard chains [0.23624125155742057]
  We study the quantum phase diagram of a Bose-Hubbard chain whose dynamics conserves boson number and boson dipole moment. The conservation of dipole moment has a dramatic effect on the phase diagram, which we analyze by combining a field theory analysis with DMRG simulations.
  arXiv  Detail & Related papers  (2022-10-05T18:00:03Z)
• Full counting statistics of interacting lattice gases after an expansion: The role of the condensate depletion in the many-body coherence [55.41644538483948]
  We study the full counting statistics (FCS) of quantum gases in samples of thousands of interacting bosons. FCS reveals the many-body coherence from which we characterize iconic states of interacting lattice bosons.
  arXiv  Detail & Related papers  (2022-07-28T13:21:57Z)
• Floquet-heating-induced Bose condensation in a scar-like mode of an open driven optical-lattice system [62.997667081978825]
  We show that the interplay of bath-induced dissipation and controlled Floquet heating can give rise to non-equilibrium Bose condensation. Our predictions are based on a microscopic model that is solved using kinetic equations of motion derived from Floquet-Born-Markov theory.
  arXiv  Detail & Related papers  (2022-04-14T17:56:03Z)
• Multi-band Bose-Einstein condensate at four-particle scattering resonance [47.187609203210705]
  We show that magnon quantization for thin samples results in a new multi-band magnon condensate. The most stable multi-band condensate is found in a narrow regime favoured on account of a resonance in the scattering between two bands.
  arXiv  Detail & Related papers  (2022-01-26T16:32:58Z)
• Classical analog of qubit logic based on a magnon Bose-Einstein condensate [52.77024349608834]
  We present a classical version of several quantum bit (qubit) functionalities using a two-component magnon Bose-Einstein condensate. The macroscopic wavefunctions of these two condensates serve as orthonormal basis states that form a system being a classical counterpart of a single qubit.
  arXiv  Detail & Related papers  (2021-11-12T16:14:46Z)
• Bose--Einstein condensation for particles with repulsive short-range pair interactions in a Poisson random external potential in $\mathbb R^d$ [0.0]
  We study Bose gases in $d$ dimensions, $d ge 2$, with short-range repulsive pair interactions, at positive temperature, in the canonical ensemble and in the thermodynamic limit. For sufficiently strong interparticle interactions, we show that almost surely there cannot be Bose-Einstein condensation into a sufficiently localized, normalized one-particle state.
  arXiv  Detail & Related papers  (2021-10-09T14:52:14Z)
• Dynamical solitons and boson fractionalization in cold-atom topological insulators [110.83289076967895]
  We study the $mathbbZ$ Bose-Hubbard model at incommensurate densities. We show how defects in the $mathbbZ$ field can appear in the ground state, connecting different sectors. Using a pumping argument, we show that it survives also for finite interactions.
  arXiv  Detail & Related papers  (2020-03-24T17:31:34Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.