The phases of the disordered Bose-Hubbard model with attractive interactions

• URL: http://arxiv.org/abs/2101.06032v3
• Date: Wed, 26 May 2021 08:58:44 GMT
• Title: The phases of the disordered Bose-Hubbard model with attractive interactions
• Authors: Olli Mansikkam\"aki, Sami Laine, and Matti Silveri
• Abstract summary: We study the quantum ground state phases of the one-dimensional disordered Bose--Hubbard model with attractive interactions. Compared to the repulsive Bose--Hubbard model, the quantum ground state behavior is dramatically different.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the quantum ground state phases of the one-dimensional disordered Bose--Hubbard model with attractive interactions, realized by a chain of superconducting transmon qubits or cold atoms. We map the phase diagram using perturbation theory and exact diagonalization. Compared to the repulsive Bose--Hubbard model, the quantum ground state behavior is dramatically different. At strong disorder of the on-site energies, all the bosons localize into the vicinity of a single site, contrary to the Bose glass behavior of the repulsive model. At weak disorder, depending on hopping, the ground state is either superfluid or a W state, which is a multi-site and multi-particle entangled superposition of states where all the bosons occupy a single site. We show that the robustness of the W phase against disorder diminishes as the total number of bosons increases.

Related papers

• Coherence, Transport, and Chaos in 1D Bose-Hubbard Model: Disorder vs. Stark Potential [0.5224038339798622]
  We study quantum coherence and phase transitions in a finite-size one-dimensional Bose-Hubbard model.<n>We compute several observables, including the condensate fraction, superfluid fraction, visibility, number fluctuations, and the $ell_$-norm of quantum coherence.<n>Our results highlight how disorder, tilt, and temperature jointly reshape the coherence landscape.
  arXiv  Detail & Related papers  (2025-05-25T10:08:24Z)
• Many-Body Localization and Particle Statistics in Disordered Bose-Hubbard Model [6.83731714529242]
  We study the potential influence of the particle statistics on the stability of the many-body localization in the disordered Bose-Hubbard model. We make a connection linking the disordered Bose-Hubbard model in the lower-energy section to an intricate disordered spin chain model.
  arXiv  Detail & Related papers  (2025-03-05T18:01:57Z)
• Bond-Order Density Wave Phases in Dimerized Extended Bose-Hubbard Models [0.0]
  Bond-order density wave phases (BODW) are characterized in terms of their symmetry breaking and topological properties. Our work provides the bridge between interacting and non-interacting BODW phases and highlights the significance of long-range interactions in a dimerized lattice.
  arXiv  Detail & Related papers  (2024-03-11T12:15:18Z)
• Excitonic Mott insulator in a Bose-Fermi-Hubbard system of moiré $\rm{WS}_2$/$\rm{WSe}_2$ heterobilayer [1.5312601525030873]
  We study the interplay between fermionic and bosonic populations using a transition metal dichalcogenides heterobilayer device. We measure exciton diffusion, which remains constant upon increasing pumping intensity, as opposed to the expected behavior of a weakly interacting gas of bosons. Our system provides a controllable approach to the exploration of quantum many-body model.
  arXiv  Detail & Related papers  (2023-04-19T15:18:18Z)
• Are the ground states of randomly interacting bosons random? [58.720142291102135]
  We present a systematic study of many-boson systems governed by random interactions. Our findings show that ground states of randomly interacting bosons are not random, being dominated by a few collective configurations containing condensates of clusters.
  arXiv  Detail & Related papers  (2022-12-01T20:08:38Z)
• Phase diagram of Rydberg-dressed atoms on two-leg triangular ladders [50.591267188664666]
  We investigate the phase diagram of hard-core bosons in a triangular ladder with next-to-nearest-neighbor interaction along each leg. For weak interactions, Abelian bosonization predicts a spin density wave and a fully gapless Luttinger liquid phase. The competition with the zigzag interaction generates a charge density wave, a 'polarized holonic' phase, and a crystalline phase at the filling 2/5.
  arXiv  Detail & Related papers  (2022-07-01T12:49:04Z)
• Quantum critical behavior of entanglement in lattice bosons with cavity-mediated long-range interactions [0.0]
  We analyze the ground-state entanglement entropy of the extended Bose-Hubbard model with infinite-range interactions. This model describes the low-energy dynamics of ultracold bosons tightly bound to an optical lattice and dispersively coupled to a cavity mode.
  arXiv  Detail & Related papers  (2022-04-16T04:10:57Z)
• Qubit-photon bound states in topological waveguides with long-range hoppings [62.997667081978825]
  Quantum emitters interacting with photonic band-gap materials lead to the appearance of qubit-photon bound states. We study the features of the qubit-photon bound states when the emitters couple to the bulk modes in the different phases. We consider the coupling of emitters to the edge modes appearing in the different topological phases.
  arXiv  Detail & Related papers  (2021-05-26T10:57:21Z)
• Self-stabilized Bose polarons [0.0]
  We show a solution of the Bose polaron problem beyond the Bogoliubov approximation. We show that the Bose polaron energy remains bounded from below across the resonance. Our results demonstrate how the dressing cloud replaces the attractive impurity potential with an effective many-body potential that excludes binding.
  arXiv  Detail & Related papers  (2021-02-26T17:35:00Z)
• Impurity dephasing in a Bose-Hubbard model [0.0]
  We study the dynamics of a two-level impurity embedded in a two-dimensional Bose-Hubbard model at zero temperature. Results for the decoherence across the whole phase diagram are presented, with a focus on the critical region close to the transition between superfluid and Mott insulator.
  arXiv  Detail & Related papers  (2020-11-27T14:44:13Z)
• Bose-Einstein condensate soliton qubit states for metrological applications [58.720142291102135]
  We propose novel quantum metrology applications with two soliton qubit states. Phase space analysis, in terms of population imbalance - phase difference variables, is also performed to demonstrate macroscopic quantum self-trapping regimes.
  arXiv  Detail & Related papers  (2020-11-26T09:05:06Z)
• Quantum chaos driven by long-range waveguide-mediated interactions [125.99533416395765]
  We study theoretically quantum states of a pair of photons interacting with a finite periodic array of two-level atoms in a waveguide. Our calculation reveals two-polariton eigenstates that have a highly irregular wave-function in real space.
  arXiv  Detail & Related papers  (2020-11-24T07:06:36Z)
• 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.