Superfluid-droplet crossover in a binary boson mixture on a ring: Exact diagonalization solutions for few-particle systems in one dimension

• URL: http://arxiv.org/abs/2302.00385v1
• Date: Wed, 1 Feb 2023 11:45:45 GMT
• Title: Superfluid-droplet crossover in a binary boson mixture on a ring: Exact diagonalization solutions for few-particle systems in one dimension
• Authors: L. Chergui, J. Bengtsson, J. Bjerlin, P. St\"urmer, G.M. Kavoulakis and S.M. Reimann
• Abstract summary: We investigate the formation of self-bound quantum droplets in a one-dimensional binary mixture of bosonic atoms. Results show a remarkable agreement between the few-body regime and the thermodynamic limit in one dimension.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate the formation of self-bound quantum droplets in a one-dimensional binary mixture of bosonic atoms, applying the method of numerical diagonalization of the full Hamiltonian. The excitation spectra and ground-state pair correlations signal the formation of a few-boson droplet when crossing the region of critical inter-species interactions. The self-binding affects the rotational excitations, displaying a change in the energy dispersion from negative curvature, associated with superfluidity in the many-body limit, to a nearly parabolic curvature indicative of rigid body rotation. We exploit two global symmetries of the system to further analyze the few-body modes in terms of transition matrix elements and breathing mode dynamics. The exact results are compared to the usual ad-hoc inclusion of higher-order contributions in the extended Gross-Pitaevskii equation, showing a remarkable agreement between the few-body regime and the thermodynamic limit in one dimension.

Related papers

• Quench dynamics in higher-dimensional Holstein models: Insights from Truncated Wigner Approaches [41.94295877935867]
  We study the melting of charge-density waves in a Holstein model after a sudden switch-on of the electronic hopping. A comparison with exact data obtained for a Holstein chain shows that a semiclassical treatment of both the electrons and phonons is required in order to correctly describe the phononic dynamics.
  arXiv  Detail & Related papers  (2023-12-19T16:14:01Z)
• Ground-state Properties and Bogoliubov Modes of a Harmonically Trapped One-Dimensional Quantum Droplet [4.864202986612716]
  We study the stationary and excitation properties of a one-dimensional quantum droplet in a Bose mixture trapped in a harmonic potential. We explicitly show how the spectrum of the excitation is split into discrete modes, and finally taken over by the harmonic trap.
  arXiv  Detail & Related papers  (2023-09-11T05:39:53Z)
• Dispersive Non-reciprocity between a Qubit and a Cavity [24.911532779175175]
  We present an experimental study of a non-reciprocal dispersive-type interaction between a transmon qubit and a superconducting cavity. We show that the qubit-cavity dynamics is well-described in a wide parameter regime by a simple non-reciprocal master-equation model.
  arXiv  Detail & Related papers  (2023-07-07T17:19:18Z)
• Dynamical structure factor and a new method to measure the pairing gap in two-dimensional attractive Fermi-Hubbard model [7.317437085639568]
  We study the dynamical excitations of attractive Fermi-Hubbard model in a two-dimensional square optical lattice. Two kinds of collective modes are investigated, including a Goldstone phonon mode at transferred momentum.
  arXiv  Detail & Related papers  (2023-05-15T06:57:44Z)
• Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders [37.69303106863453]
  We consider a system of interacting spinless fermions on a two-leg triangular ladder with $pi/2$ magnetic flux per triangular plaquette. Microscopically, the system exhibits a U(1) symmetry corresponding to the conservation of total fermionic charge, and a discrete $mathbbZ$ symmetry. At the intersection of the three phases, the system features a critical point with an emergent SU(2) symmetry.
  arXiv  Detail & Related papers  (2023-05-11T15:57:27Z)
• Universal features of entanglement entropy in the honeycomb Hubbard model [44.99833362998488]
  This paper introduces a new method to compute the R'enyi entanglement entropy in auxiliary-field quantum Monte Carlo simulations. We demonstrate the efficiency of this method by extracting, for the first time, universal subleading logarithmic terms in a two dimensional model of interacting fermions.
  arXiv  Detail & Related papers  (2022-11-08T15:52:16Z)
• Floquet analysis of extended Rabi models based on high-frequency expansion [4.825076503537852]
  We transform two kinds of extended quantum Rabi model, anisotropic Rabi model and asymmetric Rabi model, into rotating frame. For anisotropic Rabi model, the quasi energy fits well with the numerical results even when the rotating-wave coupling is in the deep-strong coupling regime. For asymmetric Rabi model, the external bias field which breaks the parity symmetry of total excitation number tends to cluster the upper and lower branches into two bundles.
  arXiv  Detail & Related papers  (2022-02-20T07:34:21Z)
• Quantum correlations, entanglement spectrum and coherence of two-particle reduced density matrix in the Extended Hubbard Model [62.997667081978825]
  We study the ground state properties of the one-dimensional extended Hubbard model at half-filling. In particular, in the superconducting region, we obtain that the entanglement spectrum signals a transition between a dominant singlet (SS) to triplet (TS) pairing ordering in the system.
  arXiv  Detail & Related papers  (2021-10-29T21:02:24Z)
• Light-matter interactions near photonic Weyl points [68.8204255655161]
  Weyl photons appear when two three-dimensional photonic bands with linear dispersion are degenerated at a single momentum point, labeled as Weyl point. We analyze the dynamics of a single quantum emitter coupled to a Weyl photonic bath as a function of its detuning with respect to the Weyl point.
  arXiv  Detail & Related papers  (2020-12-23T18:51:13Z)
• Entanglement-spectrum characterization of ground-state nonanalyticities in coupled excitation-phonon models [0.0]
  Small-polaron transitions are analyzed through the prism of the entanglement spectrum of the excitation-phonon system. The behavior of the entanglement entropy in the vicinity of the critical excitation-phonon coupling strength chiefly originates from one specific entanglement-spectrum eigenvalue.
  arXiv  Detail & Related papers  (2020-01-30T08:41:00Z)
• Stationary and dynamical properties of two harmonically trapped bosons in the crossover from two dimensions to one [0.0]
  We unravel the stationary properties and the interaction quench dynamics of two bosons, confined in a two-dimensional anisotropic harmonic trap. The relation between the two and the one dimensional scattering lengths as well as the Tan contacts is established. The interaction quench dynamics from attractive to repulsive values and vice versa is investigated for various anisotropies.
  arXiv  Detail & Related papers  (2020-01-29T08:31:00Z)

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.