Nonlinear Bose-Einstein-condensate dynamics induced by a harmonic modulation of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>s</mml:mi></mml:math>-wave scattering length

Vidanović, Ivana; Balaž, Antun; Al-Jibbouri, Hamid; Pelster, Axel

doi:10.1103/physreva.84.013618

Cited by 61 publications

(65 citation statements)

References 48 publications

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“…follow from (24), (25) as well as (B1)-(B3) in Appendix B. In order to check how accurate the secondorder EPLT result is, we compare it quantitatively for a 2D square lattice with two other approaches.…”

Section: Higher Order and Numerical Resultsmentioning

confidence: 99%

“…For a harmonically trapped Bose-Einstein condensate this induces various phenomena of nonlinear dynamics as, for instance, mode coupling, higher harmonics generation, and significant shifts in the frequencies of collective modes (see, for instance, Ref. [25] and the references therein). Therefore, a periodic modulation of the interaction represents an important new tool for building more versatile quantum simulators.…”

Section: Introductionmentioning

confidence: 99%

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Tuning the quantum phase transition of bosons in optical lattices via periodic modulation of thes-wave scattering length

Wang

Zhang

Santos³

et al. 2014

Phys. Rev. A

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We consider interacting bosons in a 2D square and a 3D cubic optical lattice with a periodic modulation of the s-wave scattering length. At first we map the underlying periodically driven BoseHubbard model for large enough driving frequencies approximately to an effective time-independent Hamiltonian with a conditional hopping. Combining different analytical approaches with quantum Monte Carlo simulations then reveals that the superfluid-Mott insulator quantum phase transition still exists despite the periodic driving and that the location of the quantum phase boundary turns out to depend quite sensitively on the driving amplitude. A more detailed quantitative analysis shows even that the effect of driving can be described within the usual Bose-Hubbard model provided that the hopping is rescaled appropriately with the driving amplitude. This finding indicates that the Bose-Hubbard model with a periodically driven s-wave scattering length and the usual BoseHubbard model belong to the same universality class from the point of view of critical phenomena.

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Section: Higher Order and Numerical Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Tuning the quantum phase transition of bosons in optical lattices via periodic modulation of thes-wave scattering length

Wang

Zhang

Santos³

et al. 2014

Phys. Rev. A

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“…Moreover, it has been shown that Faraday waves can be suppressed in condensates subject either to resonant parametric modulations [12] or space-and time-modulated potentials [13,14], which is a widely studied topic [15][16][17][18][19][20][21][22][23]. Furthermore, in the context of parametric excitations, the formation of density patterns has been studied in expanding ultra-cold Bose gases (either fully [24] or only partially condensed [25,26]), and the spontaneous formation of density waves has been reported for antiferromagnetic BECs [27].…”

Section: Introductionmentioning

confidence: 99%

Faraday waves in collisionally inhomogeneous Bose-Einstein condensates

et al. 2014

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We study the emergence of Faraday waves in cigar-shaped collisionally inhomogeneous BoseEinstein condensates subject to periodic modulation of the radial confinement. Considering a Gaussian-shaped radially inhomogeneous scattering length, we show through extensive numerical simulations and detailed variational treatment that the spatial period of the emerging Faraday waves increases as the inhomogeneity of the scattering length gets weaker, and that it saturates once the width of the radial inhomogeneity reaches the radial width of the condensate. In the regime of strongly inhomogeneous scattering lengths, the radial profile of the condensate is akin to that of a hollow cylinder, while in the weakly inhomogeneous case the condensate is cigar-shaped and has a Thomas-Fermi radial density profile. Finally, we show that when the frequency of the modulation is close to the radial frequency of the trap, the condensate exhibits resonant waves which are accompanied by a clear excitation of collective modes, while for frequencies close to twice that of the radial frequency of the trap, the observed Faraday waves set in forcefully and quickly destabilize condensates with weakly inhomogeneous two-body interactions.

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“…[8], this kind of time-dependent scattering length is capable of producing effects such as higher-harmonic generation and shifts in the frequencies of collective modes. In this paper, we argue that, due to (13), these effects can also be produced by a spatially dependent scattering length.…”

Section: Coupling Modes Due To Feshbach Resonancesmentioning

confidence: 99%

“…In previous approaches, the excitations of such collective modes were usually based on the introduction of time-periodic modulations in system parameters such as the natural frequency of the harmonic trapping potential [1][2][3][4][5][6] and the s-wave scattering length [7,8]. Another possible procedure consists in the introduction of an abrupt change in the potential.…”

Section: Introductionmentioning

confidence: 99%

Coupling collective modes in a trapped superfluid

et al. 2012

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We consider a superfluid cloud composed of a Bose-Einstein condensate oscillating within a magnetic trap (dipole mode) where, due to the existence of a Feshbach resonance, an effective periodic time-dependent modulation in the scattering length is introduced. Under this condition, collective excitations such as the quadrupole mode can take place. We approach this problem by employing both the Gaussian and the Thomas-Fermi variational Ansätze. The resulting dynamic equations are analyzed by considering both linear approximations and numerical solutions, where we observe coupling between dipole and quadrupole modes. Aspects of this coupling related to the variation of the dipole oscillation amplitude are analyzed. This may be a relevant effect in situations where oscillation in a magnetic field in the presence of a bias field B takes place, and should be considered in the interpretation of experimental results.

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Nonlinear Bose-Einstein-condensate dynamics induced by a harmonic modulation of thes-wave scattering length

Cited by 61 publications

References 48 publications

Tuning the quantum phase transition of bosons in optical lattices via periodic modulation of thes-wave scattering length

Tuning the quantum phase transition of bosons in optical lattices via periodic modulation of thes-wave scattering length

Faraday waves in collisionally inhomogeneous Bose-Einstein condensates

Coupling collective modes in a trapped superfluid

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