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arXiv:cond-mat/9907452 · Physical Review A

Optical generation of vortices in trapped Bose-Einstein condensates

Ł. Dobrek, Mariusz Gajda, Maciej Lewenstein, K. Sengstock, G. Birkl, W. Ertmer

Published Nov 1, 1999• 197 citations
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Abstract

We demonstrate numerically the efficient generation of vortices in Bose-Einstein condensates (BECs) by using a ``phase imprinting'' method. The method consists of passing a far-off-resonant laser pulse through an absorption plate with an azimuthally dependent absorption coefficient, imaging the laser beam onto a BEC, and thus creating the corresponding nondissipative Stark-shift potential and condensate phase shift. In our calculations we take into account experimental imperfections. We also propose an interference method to detect vortices by coherently pushing part of the condensate using optically induced Bragg scattering.

DOI
10.1103/physreva.60.r3381

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We demonstrate numerically the efficient generation of vortices in Bose-Einstein condensates (BECs) by using a ``phase imprinting'' method. The method consists of passing a far-off-resonant laser pulse through an absorption plate with an azimuthally dependent absorption coefficient, imaging the laser beam onto a BEC, and thus creating the corresponding nondissipative Stark-shift potential and condensate phase shift. In our calculations we take into account experimental imperfections. We also propose an interference method to detect vortices by coherently pushing part of the condensate using optically induced Bragg scattering.
We study theoretically a generation of vortices by phase imprinting in trapped Bose-Einstein condensates. Phase imprinting is achieved by passing a short off-resonance laser pulse through an appropriately designed absorption plate, and impinging it on a condensate. We answer the fundamental question how the circulation and the vortex are introduced into the system. We discuss the possibility of multiple vortex arrays creation. Using multiple absorption plates we show that genuine vortex arrays and vortex-antivortex configurations can be created in a controlled way. We discuss vortex dynamics and interactions in such configurations. Various methods of vortex detection based on interference combined with Bragg scattering technique are also analyzed.
Vorticity in superfluids has been studied for decades. In atomic BECs, vorticity was induced by stirring with laser beams. In this thesis, phase imprinting is introduced as an alternative method to induce vorticity in a BEC. By using a Liquid Crystal-on-Silicon spatial light modulator the phase of a laser beam can be shaped into any spatial profile, limited only by the imaging resolution. By using this shaped light in a two-photon Raman transfer, the phase of the electromagnetic field is transferred on to the Bose-condensed atoms.\n\nSimulations are performed for light containing a single phase winding, taking into account that the vortex in this beam has a finite vortex core size due to limited imaging resolution. It follows that the finite core size has an incomplete transfer as a result, but the phase winding is imprinted on to the atoms transferred to the second component.\n\nAlso, experimentally the two-photon Raman transition which is needed has been realised. However, the transfer process is impeded by a different two-photon process occuring at the same time, and by superradiant Rayleigh scattering. Recommendations are given to suppress these effects and successfully imprint the phase from the shaped light on to the atoms.
We analyze numerically the process of dynamical generation of spatially localized vortices in Bose-Einstein condensates (BEC's) with repulsive atomic interactions confined by two-dimensional optical lattices. Akin to bright solitons in a repulsive condensate, these nonlinear localized states exist only within the gaps of the matter-wave band-gap spectrum imposed by the periodicity of the lattice potential. We discuss the complex structure of matter-wave phase singularities associated with different types of stationary gap vortices and suggest two different excitation methods. In one method, the condensate is adiabatically driven to the edge of the Brillouin zone where a vortex phase is subsequently imprinted onto the condensate wave packet. Alternatively, a vortex is created in a condensate confined in a harmonic trap and then is nonadiabatically released into the lattice potential. We find that only the latter method leads to robust and reliable generation of vortices within the gap of the matter-wave band-gap spectrum. Moreover, the nonadiabatic excitation can lead to the formation of broad gap vortices from the initial BEC wave packets with a large number of atoms. These broad vortices are intimately connected to self-trapped nonlinear states of the BEC recently demonstrated in experiments with a one-dimensional optical lattice. Our numerical simulations also confirm the feasibility of a homodyne interferometric detection of broad gap vortices.
Since the first Bose-Einstein Condensate (BEC) was demonstrated in a dilute atomic gas [1], rotating BECs have been of interest to researchers due to their quantized circulation. We propose a new method of creating controlled vortices in a BEC. Atoms are held in the focus of a scanning beam that rapidly scans to produce a time-averaged potential [2]. We have made theoretical calculations to measure the heating caused by a scanning beam trap and to find the regime where a scanning beam produces a time-averaged potential. The scanning beam splits the BEC into four parts then imprints a relative phase on each part such that, when the parts recombine, a vortex forms. We have simulated such a system using the Gross-Pitaevskii equation and have demonstrated the laser scanning pattern using a two-dimensional acousto-optic modulator (AOM). The optics for the scanning beam trap have been designed and the experimental trap dimensions are used in our simulations. To carry out the experimental part of this project, we are currently building and testing an all-optical BEC apparatus: we have made a magneto-optical trap (MOT) which cools the 87Rb atomsto 30uK. We are currently setting up an optical dipole trap to perform the final stages of cooling.
In this paper we demonstrate a technique that can create non-equilibrium vortex configurations with almost arbitrary charge and geometry in a Bose-Einstein condensate. We coherently transfer orbital angular momentum from a holographically generated light beam to a 87Rb condensate using a two-photon stimulated Raman process. Using matter wave interferometry, we verify the phase pattern imprinted onto the atomic wave function for a single vortex and a vortex-antivortex pair. In addition to their phase winding, the vortices created with this technique have an associated hyperfine spin texture.
In this paper we demonstrate a technique that can create non-equilibrium vortex configurations with almost arbitrary charge and geometry in a Bose-Einstein condensate. We coherently transfer orbital angular momentum from a holographically generated light beam to a 87Rb condensate using a two-photon stimulated Raman process. Using matter wave interferometry, we verify the phase pattern imprinted onto the atomic wave function for a single vortex and a vortex-antivortex pair. In addition to their phase winding, the vortices created with this technique have an associated hyperfine spin texture.