Bose systems in spatially random or time-varying potentials

Yukalov, V. I.; Yukalova, E. P.; Bagnato, Vanderlei Salvador

doi:10.1134/s1054660x09040240

Cited by 39 publications

(100 citation statements)

References 57 publications

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“…But the Bloch spectrum, in general, describes nonequilibrium condensates that are the analog of the coherent modes [174][175][176]. This is why the Bloch spectrum does not need to coincide with the Bogolubov spectrum…”

Section: Elementary Excitationsmentioning

confidence: 99%

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Cold bosons in optical lattices

2009

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Basic properties of cold Bose atoms in optical lattices are reviewed. The main principles of correct self-consistent description of arbitrary systems with Bose-Einstein condensate are formulated. Theoretical methods for describing regular periodic lattices are presented. A special attention is paid to the discussion of Bose-atom properties in the frame of the boson Hubbard model. Optical lattices with arbitrary strong disorder, induced by random potentials, are treated. Possible applications of cold atoms in optical lattices are discussed, with an emphasis of their usefulness for quantum information processing and quantum computing.

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Section: Elementary Excitationsmentioning

confidence: 99%

“…And compressibility (3.157) can be simplified to 180) which means that the stability condition 0 < κ T < ∞ implies that interactions are repulsive and finite, Φ 1 > 0.…”

Section: Spectrum Parametersmentioning

confidence: 99%

Cold bosons in optical lattices

2009

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“…The origin of this granulation can be understood as follows. The action of an external alternating field can be shown to be equivalent, on average, to the action of an external spatially random potential [32]. For an equilibrium sys- tem, the granular condensate appears under the increasing amplitude of the external spatially random potential [26,33].…”

Section: Granular Statementioning

confidence: 99%

Route to turbulence in a trapped Bose-Einstein condensate

Seman¹,

Henn²,

Shiozaki³

et al. 2011

Laser Phys. Lett.

116

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We have studied a Bose-Einstein condensate of 87 Rb atoms under an oscillatory excitation. For a fixed frequency of excitation, we have explored how the values of amplitude and time of excitation must be combined in order to produce quantum turbulence in the condensate. Depending on the combination of these parameters different behaviors are observed in the sample. For the lowest values of time and amplitude of excitation, we observe a bending of the main axis of the cloud. Increasing the amplitude of excitation we observe an increasing number of vortices. The vortex state can evolve into the turbulent regime if the parameters of excitation are driven up to a certain set of combinations. If the value of the parameters of these combinations is exceeded, all vorticity disappears and the condensate enters into a different regime which we have identified as the granular phase. Our results are summarized in a diagram of amplitude versus time of excitation in which the different structures can be identified. We also present numerical simulations of the Gross-Pitaevskii equation which support our observations.

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“…When there are several vortices, the related densities ρ are different, because the density of the atomic cloud in a trap varies in space [40][41][42]. However, this variation does not essentially change the related vortex energy, since the density is inside the logarithm.…”

Section: Vortex Statementioning

confidence: 99%

Realization of inverse Kibble–Zurek scenario with trapped Bose gases

2015

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We show that there exists the inverse Kibble-Zurek scenario, when we start with an equilibrium system with broken symmetry and, by imposing perturbations, transform it to a strongly nonequilibrium symmetric state through the sequence of states with spontaneously arising topological defects. We demonstrate the inverse Kibble-Zurek scenario both experimentally, by perturbing the Bose-Einstein condensate of trapped 87 Rb atoms, and also by accomplishing numerical simulations for the same setup as in the experiment, the experimental and numerical results being in good agreement with each other.

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Bose systems in spatially random or time-varying potentials

Cited by 39 publications

References 57 publications

Cold bosons in optical lattices

Cold bosons in optical lattices

Route to turbulence in a trapped Bose-Einstein condensate

Realization of inverse Kibble–Zurek scenario with trapped Bose gases

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