The bound states that can occur in a superfluid vortex have recently called for attention owing to the capability of detecting them experimentally. However, a detailed theoretical account for the presence of these vortex bound states is still lacking for all temperatures in the superfluid phase and couplings along the BCS-BEC crossover. Here, we fill this gap and present a systematic theoretical study based on the Bogoliubov–de Gennes equations for the bound states that occur over the two characteristic (inner and outer) spatial ranges in which the extension of a superfluid vortex can be partitioned. It is found that the total number of bound states decreases from the BCS (weak-coupling) side of the crossover toward the intermediate-coupling region where they are still present, whereas the bound states disappear upon entering the BEC (strong-coupling) side. A scaling relation is also obtained that connects the number of bound states in the inner spatial range of the vortex to the depth and width of the vortex itself. A criterion is finally provided in terms of the local density of states, to distinguish where a given fermionic superfluid is located in the coupling-temperature phase diagram of the BCS-BEC crossover.

Simonucci, S., Pieri, P., Strinati Calvanese, G. (2019). Bound states in a superfluid vortex: A detailed study along the BCS-BEC crossover. PHYSICAL REVIEW. B, 99(13), 134506-1-134506-10 [10.1103/PhysRevB.99.134506].

Bound states in a superfluid vortex: A detailed study along the BCS-BEC crossover

Pieri, P.;
2019

Abstract

The bound states that can occur in a superfluid vortex have recently called for attention owing to the capability of detecting them experimentally. However, a detailed theoretical account for the presence of these vortex bound states is still lacking for all temperatures in the superfluid phase and couplings along the BCS-BEC crossover. Here, we fill this gap and present a systematic theoretical study based on the Bogoliubov–de Gennes equations for the bound states that occur over the two characteristic (inner and outer) spatial ranges in which the extension of a superfluid vortex can be partitioned. It is found that the total number of bound states decreases from the BCS (weak-coupling) side of the crossover toward the intermediate-coupling region where they are still present, whereas the bound states disappear upon entering the BEC (strong-coupling) side. A scaling relation is also obtained that connects the number of bound states in the inner spatial range of the vortex to the depth and width of the vortex itself. A criterion is finally provided in terms of the local density of states, to distinguish where a given fermionic superfluid is located in the coupling-temperature phase diagram of the BCS-BEC crossover.
2019
Simonucci, S., Pieri, P., Strinati Calvanese, G. (2019). Bound states in a superfluid vortex: A detailed study along the BCS-BEC crossover. PHYSICAL REVIEW. B, 99(13), 134506-1-134506-10 [10.1103/PhysRevB.99.134506].
Simonucci, S.; Pieri, P.; Strinati Calvanese, G.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/772079
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