Beyond-mean-field analysis of the Townes soliton and its breathing mode

Abstract

By using the Bogoliubov perturbation theory we describe the self-bound ground state and excited breathing states of $N$ two-dimensional bosons with zero-range attractive interactions. Our results for the ground state energy $B_N$ and size $R_N$ improve previously known large-$N$ asymptotes and we better understand the crossover to the few-body regime. The breathing oscillations, absent at the mean-field level, result from the quantum-mechanical breaking of the mean-field scale symmetry. The breathing-mode frequency scales as $\Omega \propto |B_N|/\sqrt{N}$ at large $N$.

published version

References in corpus (9)

• Universal Properties of Two-Dimensional Boson Droplets
• Ground state energy of the two-dimensional weakly interacting Bose gas: First correction beyond Bogoliubov theory
• Realization of a Townes soliton in a two-component planar Bose gas
• The Born-Oppenheimer approximation in an effective field theory language
• Universal low-energy properties of three two-dimensional particles
• Observation of scale invariance in two-dimensional matter-wave Townes solitons
• Gas-to-soliton transition of attractive bosons on a spherical surface
• Two-particle bound states on a lattice
• Townes soliton and beyond: Non-miscible Bose mixtures in 2D

Cited by in corpus (1)

• Generalized Gross-Pitaevskii Equation for 2D Bosons with Attractive Interactions