Parity Symmetry Breaking and Topological Phases in a Superfluid Ring
arXiv:1608.01904 · doi:10.1103/PhysRevA.94.063601
Abstract
We study analytically the superfluid flow of a Bose-Einstein condensate in a ring geometry in presence of a rotating barrier. We show that a phase transition breaking a parity symmetry among two topological phases occurs at a critical value of the height of the barrier. Furthermore, a discontinuous (accompanied by hysteresis) phase transition is observed in the ordered phase when changing the angular velocity of the barrier. At the critical point where the hysteresis area vanishes, chemical potential of the ground state develops a cusp (a discontinuity in the first derivative). Along this path, the jump between the two corresponding states having a different winding number shows strict analogies with a topological phase transition. We finally study the current-phase relation of the system and compare some of our calculations with published experimental results.
arXiv comment5 pages, 5 figures
References in corpus (26)
- Superflow in a toroidal Bose-Einstein condensate: an atom circuit with a tunable weak link
- Hysteresis in a quantized, superfluid atomtronic circuit
- Driving phase slips in a superfluid atom circuit with a rotating weak link
- Experimental realization of Josephson junctions for an Atom SQUID
- Quantised supercurrent decay in an annular Bose-Einstein condensate
- Interferometric measurement of the current-phase relationship of a superfluid weak link
- Optimal Persistent Currents for Interacting Bosons on a Ring with a Gauge Field
- Coherent superposition of current flows in an Atomtronic Quantum Interference Device
- Crossover from the Josephson effect to bulk superconducting flow
- Vortex-Induced Phase Slip Dissipation in a Toroidal Bose-Einstein Condensate Flowing Through a Barrier
- Probing the circulation of ring-shaped Bose-Einstein condensates
- Topological Winding and Unwinding in Metastable Bose-Einstein Condensates
- Effect of a potential step or impurity on the Bose-Einstein condensate mean field
- Critical velocity of superfluid flow through single barrier and periodic potentials
- Persistent currents with non-quantized angular momentum
- Decay of a superfluid current of ultra-cold atoms in a toroidal trap
- Vortices in a toroidal Bose-Einstein condensate with a rotating weak link
- Critical velocity for a toroidal Bose-Einstein condensate flowing through a barrier
- Nonlinear modes and symmetry breaking in rotating double-well potentials
- Nonlinear Krönig-Penney model
- Current-Phase Relation of a Bose-Einstein Condensate Flowing Through a Weak Link
- Instability and Vortex Rings Dynamics in a Three-Dimensional Superfluid Flow Through a Constriction
- The stationary solutions of G-P equations in double square well
- Metastability, excitations, fluctuations, and multiple-swallowtail structures of a superfluid in a Bose-Einstein condensate in the presence of a uniformly moving defect
- Instability of the superfluid flow as black-hole lasing effect
- Hysteresis and metastability of Bose-Einstein condensed clouds of atoms confined in ring potentials