Superfluid flow past an obstacle in annular Bose--Einstein condensates
arXiv:1512.07924 · doi:10.1088/0953-4075/49/23/235301
Abstract
We investigate the flow of a one-dimensional nonlinear Schrodinger model with periodic boundary conditions past an obstacle, motivated by recent experiments with Bose--Einstein condensates in ring traps. Above certain rotation velocities, localized solutions with a nontrivial phase profile appear. In striking difference from the infinite domain, in this case there are many critical velocities. At each critical velocity, the steady flow solutions disappear in a saddle-center bifurcation. These interconnected branches of the bifurcation diagram lead to additions of circulation quanta to the phase of the associated solution. This, in turn, relates to the manifestation of persistent current in numerous recent experimental and theoretical works, the connections to which we touch upon. The complex dynamics of the identified waveforms and the instability of unstable solution branches are demonstrated.
Resubmitted (2016)
References in corpus (17)
- Quantum-fluid dynamics of microcavity polaritons
- Observation of persistent flow of a Bose-Einstein condensate in a toroidal trap
- Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
- Hysteresis in a quantized, superfluid atomtronic circuit
- Stationary and non-stationary fluid flow of a Bose-Einstein condensate through a penetrable barrier
- A large magnetic storage ring for Bose-Einstein condensates
- Oblique dark solitons in supersonic flow of a Bose-Einstein condensate
- Resistive flow in a weakly interacting Bose-Einstein condensate
- Interferometric measurement of the current-phase relationship of a superfluid weak link
- Topological Winding and Unwinding in Metastable Bose-Einstein Condensates
- Critical Rotation of an Annular Superfluid Bose Gas
- Persistent currents with non-quantized angular momentum
- Linear "ship waves" generated in stationary flow of a Bose-Einstein condensate past an obstacle
- Vortices in a toroidal Bose-Einstein condensate with a rotating weak link
- Demonstration of an inductively coupled ring trap for cold atoms
- Dynamic and Energetic Stabilization of Persistent Currents in Bose-Einstein Condensates
- Superfluid flow past an obstacle in annular Bose--Einstein condensates
Cited by in corpus (10)
- Many-Body Dissipative Flow of a Confined Scalar Bose-Einstein Condensate Driven by a Gaussian Impurity
- Superflow decay in a toroidal Bose gas: The effect of quantum and thermal fluctuations
- Dragging A Defect in a Droplet Bose-Einstein Condensate
- Dynamic high-resolution optical trapping of ultracold atoms
- Superfluid flow past an obstacle in annular Bose--Einstein condensates
- Implementation of an atomtronic SQUID in a strongly confined toroidal condensate
- Superfluidity fraction of few bosons in an annular geometry in the presence of a rotating weak link
- Stationary states of Bose-Einstein condensed atoms rotating in an asymmetric ring potential
- Influence of quantum fluctuations on the superfluid critical velocity of a one-dimensional Bose gas
- Increasing the stability of a superfluid in a rotating necklace potential