Supersolidity of cnoidal waves in an ultracold Bose gas
arXiv:2008.00795 · doi:10.1103/PhysRevResearch.3.013143
Abstract
A one-dimensional Bose-Einstein condensate may experience nonlinear periodic modulations known as "cnoidal waves". We argue that such structures represent promising candidates for the study of supersolidity-related phenomena in a non-equilibrium state. A mean-field treatment makes it possible to rederive Leggett's formula for the superfluid fraction of the system and to estimate it analytically. We determine the excitation spectrum, for which we obtain analytical results in the two opposite limiting cases of (i) a linearly modulated background and (ii) a train of dark solitons. The presence of two Goldstone (gapless) modes -- associated with the spontaneous breaking of symmetry and of continuous translational invariance -- at large wavelength is verified. We also calculate the static structure factor and the compressibility of cnoidal waves, which show a divergent behavior at the edges of each Brillouin zone.
16 pages, 8 figures, accepted in Physical Review Research
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- Exciting the Goldstone Modes of a Supersolid Spin-Orbit-Coupled Bose Gas
- Interactions and dynamics of one-dimensional droplets, bubbles and kinks
- Supersolid edge and bulk phases of a dipolar quantum gas in a box
- Bose-Einstein condensate in an elliptical waveguide
- Supersolid behavior in one-dimensional self-trapped Bose-Einstein condensate
- Superfluid properties of bright solitons in a ring
- Simultaneous symmetry breaking in spontaneous Floquet states: temporal Floquet-Nambu-Goldstone modes, Floquet thermodynamics, and the time operator
- From elastic to inelastic deformation of a dipolar supersolid
- Supersolid phase of a spin-orbit-coupled Bose-Einstein condensate: a perturbation approach
- Excitations of Quantum Many-Body Systems via Purified Ensembles: A Unitary-Coupled-Cluster-based Approach
- Dissipation induced elastic-mode instability with topological excitation in holographic non-equilibrium steady cnoidal wave supersolid