Abstract
We propose to induce topological defects in particle-hole symmetric superfluids, with the prime example of the BCS state of ultracold atoms and detect their time evolution and decay. We demonstrate that the time evolution is qualitatively distinct for particle-hole symmetric superfluids, and point out that the dynamics of topological defects is strongly modified in particle-hole symmetric fluids. We obtain results for different charges and compare them with the standard Gross-Pitaevskii prediction for Bose-Einstein condensates. We highlight the observable signatures of the particle-hole symmetry in the dynamics of decaying solitons and subsequent vortices.
Highlights
The presence or absence of particle-hole symmetry in a physical system is a fundamental property pervading its dynamical properties
We demonstrate that the time evolution is qualitatively distinct for particle-hole-symmetric superfluids and point out that the dynamics of topological defects is strongly modified in particle-hole-symmetric fluids
We propose to determine the influence of particle-hole symmetry on the dynamics of topological defects in twodimensional neutral superfluids
Summary
The presence or absence of particle-hole symmetry in a physical system is a fundamental property pervading its dynamical properties. We focus on the BCS state as our primary example, but our results hold for any approximately particle-hole-symmetric system, e.g., bosons in an optical lattice near unit filling [12] For this purpose we present the similarities and differences in the dynamics of topological defects in the absence and presence of particle-hole symmetry. For vanishing charge, in which the number of particles and holes is balanced, we show that vortices do not experience any Magnus force This leads to a soliton decay without snaking, setting it apart from soliton dynamics in non-particle-hole-symmetric fluids, such as BECs. To induce soliton dynamics of the quantum fluid in the BCS limit, we propose to imprint a soliton on the BEC side of the crossover in the presence of a potential barrier.
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