Laser-assisted coherent atomic tunneling between two trapped Bose-Einstein condensates

Tsukada, Noriaki; Gotoda, Mitsunobu; Nomura, Y.; Isu, Toshiro

doi:10.1103/physreva.59.3862

Cited by 32 publications

(26 citation statements)

References 31 publications

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“…A similar effect has also been predicted for condensates [9]. Here, we pursue the opposite direction: We demonstrate numerically that under the influence of a suitably designed force tunneling of condensates can take place even under conditions where it normally is inhibited by self-trapping.…”

mentioning

confidence: 83%

Coherent control of mesoscopic tunneling in a Bose-Einstein condensate

Weiß

Jinasundera

2005

Phys. Rev. A

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For a weakly interacting Bose-Einstein condensate in a double well, an appropriate time-dependent modulation of the trapping potential counter-acts the "self-trapping" effects of the interactions, thereby allowing tunneling between the wells. It is demonstrated numerically that this modulation can be employed for transferring the condensate from one well to the other in a controlled way. Moreover it allows the production of mesoscopic entangled states on short time scales.

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mentioning

confidence: 83%

Coherent control of mesoscopic tunneling in a Bose-Einstein condensate

Weiß

Jinasundera

2005

Phys. Rev. A

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“…(13)]. Note that the in-phase sech-type solitons correspond to the first branch of the dispersion law (11), A (12) and (14) cannot be continued to positive values of a.…”

Section: The Region Of Soliton Existence and Analytical Solutionsmentioning

confidence: 99%

“…The chemical-potential difference between the traps, µ 0 , can be managed, moving the position of the barriergenerating laser beam by means of electro-optic or acousto-optic modulators (see also Ref. [14]). Such a setup was realized in experiments (see, for instance, Ref.…”

Section: Introductionmentioning

confidence: 99%

Solitons in Bose–Einstein condensates trapped in a double-well potential

Shchesnovich

Malomed

Kraenkel

2004

Physica D: Nonlinear Phenomena

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We investigate, analytically and numerically, families of bright solitons in a system of two linearly coupled nonlinear Schrödinger/Gross-Pitaevskii equations, describing two Bose-Einstein condensates trapped in an asymmetric double-well potential, in particular, when the scattering lengths in the condensates have arbitrary magnitudes and opposite signs. The solitons are found to exist everywhere where they are permitted by the dispersion law. Using the Vakhitov-Kolokolov criterion and numerical methods, we show that, except for small regions in the parameter space, the solitons are stable to small perturbations. Some of them feature self-trapping of almost all the atoms in the condensate with no atomic interaction or weak repulsion coupled to the self-attractive condensate. An unusual bifurcation is found, when the soliton bifurcates from the zero solution without a visible jump in the shape, but with a jump in the number of trapped atoms. By means of numerical simulations, it is found that, depending on values of the parameters and the initial perturbation, unstable solitons either give rise to breathers or completely break down into incoherent waves ("radiation"). A version of the model with the self-attraction in both components, which applies to the description of dual-core fibers in nonlinear optics, is considered too, and new results are obtained for this much studied system.

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“…Second, as we have seen in Fig.3, the localization phenomenon is intimately related to the nonlinear Floquet states and we know that CDT is related to linear Floquet states. The localization phenomenon which we call NCDT has been called in literature selftrapping or, more precisely, periodically modulated selftrapping [24,25,27].…”

Section: A Mean-field Modelmentioning

confidence: 99%

Quasienergies and Floquet states of two weakly coupled Bose-Einstein condensates under periodic driving

Luo

Xie

2008

Phys. Rev. A

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We investigate the quasi-energies and Floquet states of two weakly coupled Bose-Einstein condensates driven by a periodic force. The quasi-energies and Floquet states of this system are computed within two different theoretical frameworks: the mean-field model and the second-quantized model. The mean-field approach reveals a triangular structure in the quasi-energy band. Our analysis of the corresponding Floquet states shows that this triangle signals the onset of a localization phenomenon, which can be regarded as a generalization of the well-known phenomenon called coherent destruction of tunneling. With the second quantized model, we find also a triangular structure in the quantum quasi-energy band, which is enveloped by the mean-field triangle. The close relation between these two sets of quasi-energies is further explored by a semi-classical method. With a Sommerfeld rule generalized to time-dependent systems, the quantum quasi-energies are computed by quantizing semiclassically the mean-field model and they are found to agree very well with the results obtained directly with the second-quantized model.

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Laser-assisted coherent atomic tunneling between two trapped Bose-Einstein condensates

Cited by 32 publications

References 31 publications

Coherent control of mesoscopic tunneling in a Bose-Einstein condensate

Coherent control of mesoscopic tunneling in a Bose-Einstein condensate

Solitons in Bose–Einstein condensates trapped in a double-well potential

Quasienergies and Floquet states of two weakly coupled Bose-Einstein condensates under periodic driving

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