On Bose-Einstein condensation in interacting Bose gases in the Kac-Luttinger model

• URL: http://arxiv.org/abs/2312.14357v1
• Date: Fri, 22 Dec 2023 01:13:07 GMT
• Title: On Bose-Einstein condensation in interacting Bose gases in the Kac-Luttinger model
• Authors: Chiara Boccato, Joachim Kerner, and Maximilian Pechmann
• Abstract summary: 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study interacting Bose gases of dimensions $2\le d \in \mathbb N$ at zero temperature in a random model known as the Kac-Luttinger model. Choosing the pair-interaction between the bosons to be of a mean-field type, we prove (complete) Bose-Einstein condensation in probability or with probability almost one into the minimizer of a Hartree-type functional. We accomplish this by building upon very recent results by Alain-Sol Sznitman on the spectral gap of the noninteracting Bose gas.

Related papers

• Towards the simplest model of quantum supremacy: Atomic boson sampling in a box trap [0.0]
  We describe boson sampling of interacting atoms from the noncondensed fraction of Bose-Einstein-condensed (BEC) gas confined in a box trap. We calculate the characteristic function and statistics of atom numbers via newly found hafnian master theorem.
  arXiv  Detail & Related papers  (2023-05-15T03:09:20Z)
• 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)
• The dipolar Bose-Hubbard model [0.0]
  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.
  arXiv  Detail & Related papers  (2022-01-11T18:59:10Z)
• 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)
• Functional Theory for Bose-Einstein Condensates [0.0]
  One-particle reduced density matrix functional theory would potentially be the ideal approach for describing Bose-Einstein condensates. We eventually initiate and establish this novel theory by deriving the respective universal functional $mathcalF$ for general homogeneous Bose-Einstein condensates.
  arXiv  Detail & Related papers  (2020-10-13T18:56:20Z)
• Models of zero-range interaction for the bosonic trimer at unitarity [91.3755431537592]
  We present the construction of quantum Hamiltonians for a three-body system consisting of identical bosons mutually coupled by a two-body interaction of zero range. For a large part of the presentation, infinite scattering length will be considered.
  arXiv  Detail & Related papers  (2020-06-03T17:54:43Z)
• Probing spin correlations in a Bose-Einstein condensate near the single atom level [26.500149465292246]
  We produce and characterize a two-mode squeezed vacuum state in a sodium spin 1 Bose-Einstein condensate. A novel fluorescence imaging technique with sensitivity $Delta N sim 1.6$ atom enables us to demonstrate the role of quantum fluctuations in the initial dynamics.
  arXiv  Detail & Related papers  (2020-04-20T00:50:47Z)
• 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)
• Two-body repulsive bound pairs in multi-body interacting Bose-Hubbard model [0.0]
  We study the system of multi-body interacting bosons on a two dimensional optical lattice. We analyze the formation of bound bosonic pairs in the context of the Bose-Hubbard model.
  arXiv  Detail & Related papers  (2020-02-26T06:21:49Z)

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.