Variational Bethe Ansatz approach for dipolar one-dimensional bosons

Abstract

We propose a variational approximation to the ground state energy of a one-dimensional gas of interacting bosons on the continuum based on the Bethe Ansatz ground state wavefunction of the Lieb-Liniger model. We apply our variational approximation to a gas of dipolar bosons in the single mode approximation and obtain its ground state energy per unit length. This allows for the calculation of the Tomonaga-Luttinger exponent as a function of density and the determination of the structure factor at small momenta. Moreover, in the case of attractive dipolar interaction, an instability is predicted at a critical density, which could be accessed in lanthanide atoms.

12 pages, RevTex 4 (v1) references added (v2)

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Cited by in corpus (13)

• Dipolar physics: A review of experiments with magnetic quantum gases
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Creating quantum many-body scars through topological pumping of a 1D dipolar gas
• Entangled states of dipolar bosons generated in a triple-well potential
• Quantum dynamics of few dipolar bosons in a double-well potential
• Formation and fragmentation of quantum droplets in a quasi-one dimensional dipolar Bose gas
• Polarization angle dependence of the breathing modes in confined one-dimensional dipolar bosons
• Breathing mode of a quantum droplet in a quasi-one-dimensional dipolar Bose gas
• Dipolar bosons in one dimension: the case of longitudinal dipole alignment
• Effect of transverse confinement on a quasi-one dimensional dipolar Bose gas
• Phase diagram and elementary excitations of strongly interacting droplets with non-local interactions
• Clusters in Separated Tubes of Tilted Dipoles
• Diminished quantum depletion and correlated droplets in one-dimensional dipolar Bose gas