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Physical Review A

Light-induced torque for the generation of persistent current flow in atomic gas Bose-Einstein condensates

V. E. Lembessis, M. Babiker

Published Nov 29, 2010• 47 citations
Publisher

Abstract

We show that a persistent current flow in an atomic gas Bose-Einstein condensate could be realized when the system is subject to two counterpropagating Laguerre-Gaussian so-called doughnut beams, creating a toroidal trap. The theory is developed involving a two-photon process within three atomic levels leading to a quantized light-induced torque which rotates the atoms, generating an atomic current flow in the ring. We also show that it is possible for the torque to be controlled and even switched on and off by varying the frequencies of the incident light, thereby allowing a mechanism for the control of the current flow.

DOI
10.1103/physreva.82.051402

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We show that a persistent current flow in an atomic gas Bose-Einstein condensate could be realized when the system is subject to two counterpropagating Laguerre-Gaussian so-called doughnut beams, creating a toroidal trap. The theory is developed involving a two-photon process within three atomic levels leading to a quantized light-induced torque which rotates the atoms, generating an atomic current flow in the ring. We also show that it is possible for the torque to be controlled and even switched on and off by varying the frequencies of the incident light, thereby allowing a mechanism for the control of the current flow.
We describe the coherent transfer of the orbital angular momentum of a photon to an atom in quantized units of ℏ, using a 2-photon stimulated Raman process with Laguerre-Gaussian beams to generate an atomic vortex state in a Bose-Einstein condensate (BEC) of sodium atoms. We show that the process is coherent by creating superpositions of different vortex states, where the relative phase between the states is determined by the relative phases of the optical fields. We use this technique to generate circular flow of a BEC confined in a toriodal shaped trap. We measure that the flow of atoms persists for up to 10 seconds, which we interpret as the first evidence of persistent currents in a superfluid Bose gas.
We have observed the persistent flow of Bose-condensed atoms in a toroidal trap. The flow persists without decay for up to 10 s, limited only by experimental factors such as drift and trap lifetime. The quantized rotation was initiated by transferring one unit variant Planck's over 2pi of the orbital angular momentum from Laguerre-Gaussian photons to each atom. Stable flow was only possible when the trap was multiply connected, and was observed with a Bose-Einstein condensate fraction as small as 20%. We also created flow with two units of angular momentum and observed its splitting into two singly charged vortices when the trap geometry was changed from multiply to simply connected.
We have observed the persistent flow of Bose-condensed atoms in a toroidal trap. The flow persists without decay for up to 10 s, and was initiated by transferring one unit, ħ, of the orbital angular momentum from Laguerre-Gaussian photons to each atom. Stable flow was only possible when the trap was multiply-connected, and was observed with a BEC fraction as small as 15%. We also created flow with two units of angular momentum, and observed its splitting into two singly-charged vortices when the trap geometry was changed from multiply- to simply-connected.
Summary form only given. The production of tight toroidal traps, or rings, for Bose-Einstein condensates (BECs) opens up the way to a variety of both fundamental and applied studies. By providing tight transverse confinement one can produce a quasi-one-dimensional motion for the BEC on a ring, which allows for studies of vortices and persistent currents. On the applied side, such mesoscopic rings could be used for rotation sensing via the Sagnac effect for counter-propagating atoms around the ring. In this paper, we show that Laguerre-Gaussian (LG) laser modes of high azimuthal mode index l and containing one radial ring can be used to create tight confined optical dipole traps for 2D BECs.
We demonstrate the coherent, quantized transfer of the orbital angular momentum of light to a Bose-Einstein condensate of sodium atoms by means of a stimulated, two-photon transition between the static, non-rotating BEC and a rotating state moving with the linear momentum of two photons. By reversing the transfer of linear momentum, without any angular momentum, we create either vortex states (in a simply connected trap) or persistent atom currents (in a toroidal trap). The persistent current in the toroidal trap lasts about 20 times longer than a vortex under similar conditions in the simply connected trap.
Persistent current, or "flow without friction", as well as quantum vortices are the hallmarks of superfluidity. Recently a very long-lived persistent flow of atoms has been experimentally observed in Bose-Einstein condensates trapped in a ring-shaped potential. This enables fundamental studies of superfluidity and may lead to applications in high-precision metrology and atomtronics. We overview our recent theoretical studies of the generation of the persistent current in a stirred toroidal atomic Bose-Einstein condensate, and discuss our new investigation of the hysteresis in the atomtronic circuit.