Supersolid behavior in one-dimensional self-trapped Bose-Einstein condensate
arXiv:2004.09973 · doi:10.1088/1361-6455/abf6e0
Abstract
Supersolid is an exotic state of matter, showing crystalline order with a superfluid background, observed recently in dipolar Bose-Einstein condensate (BEC) in a trap. Here, we present exact solutions of the desired Bloch form in the self-trapped free-floating quantum fluid. Our general solutions of the amended nonlinear Schr{ö}dinger equation, governing the mean-field and beyond mean-field dynamics, are obtained through a M{ö}bius transform, connecting a wide class of supersolid solutions to the ubiquitous cnoidal waves. The solutions yield the constant condensate, supersolid behavior and the self-trapped droplet in different parameter domains. The lowest residual condensate is found to be exactly one-third of the constant background.
arXiv comment6 pages, 2 figures
References in corpus (29)
- Formation and Propagation of Matter Wave Soliton Trains
- Quantum Mechanical Stabilization of a Collapsing Bose-Bose Mixture
- Quantum liquid droplets in a mixture of Bose-Einstein condensates
- 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
- Observation of a dipolar quantum gas with metastable supersolid properties
- Ultradilute low-dimensional liquids
- Bright soliton to quantum droplet transition in a mixture of Bose-Einstein condensates
- Transient supersolid properties in an array of dipolar quantum droplets
- Supersolids: what and where are they ?
- Long-lived and transient supersolid behaviors in dipolar quantum gases
- Dynamics of one-dimensional quantum droplets
- The low-energy Goldstone mode in a trapped dipolar supersolid
- Formation of matter-wave soliton trains by modulational instability
- Absence of supersolidity in solid helium in porous Vycor glass
- Supersolid behaviour of a dipolar Bose-Einstein condensate confined in a tube
- Striped states in a many-body system of tilted dipoles
- Quantum fluctuations in quasi-one-dimensional dipolar Bose-Einstein condensates
- Quantum Bose-Bose droplets at a dimensional crossover
- Modulational instability, inter-component asymmetry and formation of quantum droplets in one-dimensional binary Bose gases
- Beyond Lee-Huang-Yang description of self-bound Bose mixtures
- Driven-Dissipative Supersolid in a Ring Cavity
- Quantum Bose-Fermi droplets
- Lieb Mode in a Quasi One-Dimensional Bose-Einstein Condensate of Atoms
- Supersolidity of cnoidal waves in an ultracold Bose gas
- Superconductivity in dimensions via Kosterlitz-Thouless Mechanism: Large-N and Finite-Temperature Analyses
- Fragmented-condensate solid of dipolar excitons
- Droplet formation in a one-dimensional system of attractive spinless fermions