Yrast states of quantum droplets confined in a ring potential
arXiv:2411.03836 · doi:10.1103/PhysRevA.111.013305
Abstract
We consider a quantum droplet which is confined in a ring potential. We investigate the so-called "yrast" state, i.e., the lowest-energy state of the droplet assuming that it has some fixed expectation value of the angular momentum. Two are the most interesting aspects of this problem, the nonlinear term -- which is partly attractive and partly repulsive -- and the periodic boundary conditions. For some range of the parameters, the attractive, or the repulsive part of the nonlinear term dominates and one gets the expected behavior. In some intermediate regime the two nonlinear terms are of comparable size. In this case both the solution, as well as the corresponding dispersion relation show an interesting behavior. Finally, we make contact with the problem of solitary-wave excitation, since the derived solutions are travelling-wave, i.e., solitary-wave, solutions.
arXiv comment11 pages, 8 figures, final version
References in corpus (50)
- Quantum Mechanical Stabilization of a Collapsing Bose-Bose Mixture
- Quantum liquid droplets in a mixture of Bose-Einstein condensates
- Observation of quantum droplets in a strongly dipolar Bose gas
- Observing the Rosensweig instability of a quantum ferrofluid
- Self-bound quantum droplets in atomic mixtures
- Self-bound droplets of a dilute magnetic quantum liquid
- Quantum-fluctuation-driven crossover from a dilute Bose-Einstein condensate to a macro-droplet in a dipolar quantum fluid
- Ultradilute low-dimensional liquids
- Bright soliton to quantum droplet transition in a mixture of Bose-Einstein condensates
- Bose-Einstein condensation in a circular waveguide
- Observation of Quantum Droplets in a Heteronuclear Bosonic Mixture
- Stationary solutions of the one-dimensional nonlinear Schroedinger equation: I. Case of repulsive nonlinearity
- Dynamics of one-dimensional quantum droplets
- New states of matter with fine-tuned interactions: quantum droplets and dipolar supersolids
- Collisions of self-bound quantum droplets
- Stationary solutions of the one-dimensional nonlinear Schroedinger equation: II. Case of attractive nonlinearity
- Two-dimensional vortex quantum droplets
- Three-dimensional droplets of swirling superfluids
- Quantum phase transition in one-dimensional Bose-Einstein condensates with attractive interactions
- Collective Excitations of a One-Dimensional Quantum Droplet
- Two-dimensional solitons and quantum droplets supported by competing self- and cross-interactions in spin-orbit-coupled condensates
- Semidiscrete quantum droplets and vortices
- Quantum Bose-Bose droplets at a dimensional crossover
- Rotating binary Bose-Einstein condensates and vortex clusters in quantum droplets
- The liquid state of one-dimensional Bose mixtures: a quantum Monte-Carlo study
- Vortices in self-bound dipolar droplets
- Scissors mode of dipolar quantum droplets of dysprosium atoms
- Metastability of quantum droplet clusters
- Liquid quantum droplets of ultracold magnetic atoms
- Modulational instability, inter-component asymmetry and formation of quantum droplets in one-dimensional binary Bose gases
- Quantum droplets in one-dimensional Bose mixtures: a quantum Monte-Carlo study
- Self-bound ultra dilute Bose mixtures within Local Density Approximation
- Symmetry breaking of quantum droplets in a dual-core trap
- Quantum droplets of bosonic mixtures in a one-dimensional optical lattice
- Bose-Einstein condensates with attractive interactions on a ring
- Stability of the quantized circulation of an attractive Bose-Einstein condensate in a rotating torus
- Collisional dynamics of symmetric two-dimensional quantum droplets
- Dark quantum droplets and solitary waves in beyond-mean-field Bose-Einstein condensate mixtures
- Vortex Lattices in Strongly Confined Quantum Droplets
- Numerical solution of the stationary multicomponent nonlinear Schrödinger equation with a constraint on the angular momentum
- Ground-state Properties and Bogoliubov Modes of a Harmonically Trapped One-Dimensional Quantum Droplet
- Ground state and rotational properties of two-dimensional self-bound quantum droplets
- Effectively attractive Bose-Einstein condensates in a rotating toroidal trap
- Rotating quantum droplets confined in a harmonic potential
- Solitary waves of Bose-Einstein condensed atoms confined in finite rings
- Solitary waves and yrast states in Bose-Einstein condensed gases of atoms
- Self-bound vortex lattice in a rapidly rotating quantum droplet
- Dynamical representations of constrained multicomponent nonlinear Schrödinger equations in arbitrary dimensions
- Dynamics of Rapidly Rotating Bose-Einstein Quantum Droplets
- Propagation properties and stability of dark solitons in weakly interacting Bose-Bose droplets