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Superfluid dynamics of annular Bose gases

Mathieu de Goër de Herve

Published Oct 23, 2018• 0 citations
Publisher

Abstract

The irrotational nature of superfluids leads to spectacular rotational properties. For the fluid to rotate, its density must locally vanish at a singular point called a quantum vortex. The annular geometry is of great interest for studying superfluidity as the gas can rotate in this geometry around a central hole without requiring any singularity, allowing the existence of persistent currents along the ring with a quantized circulation. In out experiment, we confine cold atoms dressed by a radiofrequency field in an adiabatic potential based on a quadrupolar magnetic trap. The resulting bubble-shaped potential, both very smooth and easily tunable, allows us to produce two types of ring-shaped Bose-Einstein condensates. A first strategy consists in adding a far-detuned light sheet to confine the atoms at the intersection between the bubble and the horizontal plane imposed by the light field – i.e. a ring. We present the implementation and optimization of this trap and demonstrate the possibility to prepare and observe superfluid currents in the ring. A second path exploits the centrifugal force and the anharmonicity of the adiabatic potential to create an effective Mexican hat potential by rotating the trapped atoms at the bottom of the bubble faster than the trap frequency. After having realized such a system, we probe its quadrupolar modes to characterize the rotation. The study of vortex distribution in the rotating gas also shows a thermal melting effect of the finite temperature vortex lattice.

DOI
10.70675/34f3ee1ez267bz4325z8109z963168256900

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The irrotational nature of superfluids leads to spectacular rotational properties. For the fluid to rotate, its density must locally vanish at a singular point called a quantum vortex. The annular geometry is of great interest for studying superfluidity as the gas can rotate in this geometry around a central hole without requiring any singularity, allowing the existence of persistent currents along the ring with a quantized circulation. In out experiment, we confine cold atoms dressed by a radiofrequency field in an adiabatic potential based on a quadrupolar magnetic trap. The resulting bubble-shaped potential, both very smooth and easily tunable, allows us to produce two types of ring-shaped Bose-Einstein condensates. A first strategy consists in adding a far-detuned light sheet to confine the atoms at the intersection between the bubble and the horizontal plane imposed by the light field – i.e. a ring. We present the implementation and optimization of this trap and demonstrate the possibility to prepare and observe superfluid currents in the ring. A second path exploits the centrifugal force and the anharmonicity of the adiabatic potential to create an effective Mexican hat potential by rotating the trapped atoms at the bottom of the bubble faster than the trap frequency. After having realized such a system, we probe its quadrupolar modes to characterize the rotation. The study of vortex distribution in the rotating gas also shows a thermal melting effect of the finite temperature vortex lattice.
Degenerate quantum gases offer an ideal platform to study superfluidity. An annular superfluid has many subtle properties due to its topological geometry. In this manuscript, we present three ring-shaped superfluids, obtained with different formation mechanisms.The starting point of the experiments is a superfluid confined at the bottom of a bubble-shaped trap, generated by dressing atoms in a quadrupole trap with radio-frequency (rf) photons. Taking advantage of the smoothness of such an adiabatic trap allows us to realize these three annular superfluids.The first one is a levitating ring, formed on the surface of the bubble trap by compensating gravity. We study the structure taken by the atomic cloud related to fine effect of the rf polarization and the strong rf coupling. The second one is a ring trap, formed at the equator of the bubble with an additional blue detuned double light sheet. We set the annular gas into rotation by two methods, resulting in a persistent superfluid current and a quantized circulation. The last one is a fast-rotating dynamical ring, which forms under the effect of the centrifugal force. It is a long-lived supersonic superfluid whose linear velocity can reach Mach 18. We also evidence a collective mode of such a rapid rotating superfluid. The experimental realization of the dynamical ring is an important step towards the giant vortex regime.
Degenerate quantum gases offer an ideal platform to study superfluidity. An annular su- perfluid has many subtle properties due to its topological geometry. In this manuscript, we present three ring-shaped superfluids, obtained with different formation mechanisms. The starting point of the experiments is a superfluid confined at the bottom of a bubble- shaped trap, generated by dressing atoms in a quadrupole trap with radio-frequency (rf) photons. Taking advantage of the smoothness of such an adiabatic trap allows us to realize these three annular superfluids.The first one is a levitating ring, formed on the surface of the bubble trap by compensating gravity. We study the structure taken by the atomic cloud related to fine effect of the rf polarization and the strong rf coupling. The second one is a ring trap, formed at the equator of the bubble with an additional blue detuned double light sheet. We set the annular gas into rotation by two methods, resulting in a persistent superfluid current and a quantized circulation. The last one is a fast-rotating dynamical ring, which forms under the effect of the centrifugal force. It is a long-lived supersonic superfluid whose linear velocity can reach Mach18. We also evidence a collective mode of such a rapid rotating superfluid. The experimental realization of the dynamical ring is an important step towards the giant vortex regime
We consider a Bose-Einstein condensate confined in a 'Mexican hat' or sombrero potential, with a quartic minus quadratic radial dependence. We find conditions under which the ground state is annular in shape, with a hole in the center of the condensate. Rotation leads to the appearance of stable multiply quantized vortices, giving rise to a superfluid flow around the ring. The collective modes of the system are explored both numerically and analytically using the Gross-Pitaevskii and hydrodynamic equations. Potential experimental schemes to detect vorticity are proposed and evaluated, which include measuring the splitting of collective-mode frequencies, observing expansion following release from the trap, and probing the momentum distribution of the condensate. © 2006 The American Physical Society.
We consider a Bose-Einstein condensate confined in a 'Mexican hat' or sombrero potential, with a quartic minus quadratic radial dependence. We find conditions under which the ground state is annular in shape, with a hole in the center of the condensate. Rotation leads to the appearance of stable multiply quantized vortices, giving rise to a superfluid flow around the ring. The collective modes of the system are explored both numerically and analytically using the Gross-Pitaevskii and hydrodynamic equations. Potential experimental schemes to detect vorticity are proposed and evaluated, which include measuring the splitting of collective-mode frequencies, observing expansion following release from the trap, and probing the momentum distribution of the condensate.
We consider a Bose-Einstein condensate confined in a ``Mexican hat'' or sombrero potential, with a quartic minus quadratic radial dependence. We find conditions under which the ground state is annular in shape, with a hole in the center of the condensate. Rotation leads to the appearance of stable multiply quantized vortices, giving rise to a superfluid flow around the ring. The collective modes of the system are explored both numerically and analytically using the Gross-Pitaevskii and hydrodynamic equations. Potential experimental schemes to detect vorticity are proposed and evaluated, which include measuring the splitting of collective-mode frequencies, observing expansion following release from the trap, and probing the momentum distribution of the condensate.
We studied a rotating Bose–Einstein condensate confined in ring trap configurations that can be produced starting with a bubble trap confinement, approximated by a Mexican hat and shift harmonic oscillator potentials. Using a variational technique and perturbation theory, we determined the vortex configurations in this system by varying the interparticle interaction and the angular velocity of the atomic cloud. We found that the phase diagram of the system has macrovortex structures for small positive values of the interaction parameter, and the charge of the central vortex increases with rotation. Strengthening the atomic interaction makes the macrovortex unstable, and it decays into multiple singly charged vortices that arrange themselves in a lattice configuration. We also look for experimentally realizable methods to determine the vortex configuration without relying upon absorption imaging since the structures are not always visible in the latter. More specifically, we study how the vortex distribution affects the collective modes of the condensate by solving the Gross–Pitaevskii equation numerically and by analytical predictions using the sum-rule approach for the frequencies of the modes. These results reveal important signatures to characterize the macrovortices and vortex lattice transitions in the experiments.