Effective two-mode model in Bose-Einstein condensates versus Gross-Pitaevskii simulations

Nigro, Marcela M. López; Capuzzi, P.; Cataldo, H. M.; Jezek, D. M.

doi:10.1140/epjd/e2017-80382-4

Cited by 10 publications

(29 citation statements)

References 34 publications

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“…This ansatz was implicitly introduced in Refs. [33,34] and it was termed effective two-mode model. We provide a slightly different (and to our opinion more transparent) derivation.…”

Section: Appendix: the Two-mode Modelmentioning

confidence: 99%

Collective excitations and tunneling dynamics in long bosonic Josephson junctions

2019

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We investigate the low-energy dynamics of two coupled anisotropic Bose-Einstein condensates forming a long Josephson junction. The theoretical study is performed in the framework of the two-dimensional Gross-Pitaevskii equation and the Bogoliubov-de Gennes formalism. We analyze the excitation spectrum of the coupled Bose condensates and show how low-energy excitations of the condensates lead to multiple-frequency oscillations of the atomic populations in the two wells. This analysis generalizes the standard bosnic Josephson euqation approach. We also develop a one-dimensional hydrodynamic model of the coupled condensates, that is capable to reproduce the excitation spectrum and population dynamics of the system.

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“…This ansatz was implicitly introduced in Refs. [33,34] and it was termed effective two-mode model. We provide a slightly different (and to our opinion more transparent) derivation.…”

Section: Appendix: the Two-mode Modelmentioning

confidence: 99%

Collective excitations and tunneling dynamics in long bosonic Josephson junctions

2019

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“…In (a) and (b) the four-well toroidal trap with radial barriers (17) rotating at Ω/(2π) = 1Hz was considered in order to get inhomogeneous and homogeneous velocity fields, respectively fixing λ b / r = 0.8, V b / ω r = 15, and λ b / r = 3 and V b / ω r = 21, respectively. In (c) we employed the potential trap given by (16) and rotating at Ω/(2π) = 2Hz which yields an homogeneous velocity field. In (d) we considered eight wells in a lattice potential given by (17) rotating at Ω/(2π) = 2Hz with λ b / r = 1.6, and V b / ω r = 20, generating a velocity profile similar to that in figure 1 (c).…”

Section: Imprinted Phases In Rotating Latticesmentioning

confidence: 99%

“…We numerically calculated L z / , and the phases θ J and θ F according to (9) and 12 Figure 5. Phases θ J and θ F of the complex hopping parameters J and F respectively, and − L z / as functions of the rotation frequency Ω for the confining potential of the form (16).…”

Section: Relation Between θ and The Velocity Field Circulationmentioning

confidence: 99%

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Bose–Einstein condensates in rotating ring-shaped lattices: a multimode model

Nigro¹,

Capuzzi²,

Jezek³

2019

J. Phys. B: At. Mol. Opt. Phys.

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We develop a multimode model that describes the dynamics on a rotating Bose-Einstein condensate confined by a ring-shaped optical lattice with large filling numbers. The parameters of the model are obtained as a function of the rotation frequency using full 3D Gross-Pitaevskii simulations. From such numerical calculations, we extract the velocity field induced at each site and analyze the relation and the differences between the phase of the hopping parameter of our model and the Peierls phase. To this end, a detailed discussion of such phases is presented in geometrical terms which takes into account the position of the junctions for different configurations. For circularly symmetric onsite densities a simple analytical relation between the hopping phase and the angular momentum is found for arbitrary number of sites. Finally, we confront the results of the rotating multimode model dynamics with Gross-Pitaevskii simulations finding a perfect agreement.

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“…More details on this model can be found in [33,34]. We adapt this procedure for the finite-temperature case by replacing the GPE solution by the static HF condensate solution thus repeatedly solving the system of equations (9,10) with small variations in the number of atoms at each temperature.…”

Section: Static Properties Of Bjj At Finite Temperaturesmentioning

confidence: 99%

Finite-temperature dynamics of a bosonic Josephson junction

Bidasyuk

Weyrauch

Momme

et al. 2018

J. Phys. B: At. Mol. Opt. Phys.

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In the framework of the stochastic projected Gross-Pitaevskii equation we investigate finite-temperature dynamics of a bosonic Josephson junction (BJJ) formed by a Bose-Einstein condensate of atoms in a two-well trapping potential. We extract the characteristic properties of the BJJ from the stationary finite-temperature solutions and compare the dynamics of the system with the resistively shunted Josephson model. Analyzing the decay dynamics of the relative population imbalance we estimate the effective normal conductance of the junction induced by thermal atoms. The calculated normal conductance at various temperatures is then compared with predictions of the noise-less model and the model of ballistic transport of thermal atoms.

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Effective two-mode model in Bose-Einstein condensates versus Gross-Pitaevskii simulations

Cited by 10 publications

References 34 publications

Collective excitations and tunneling dynamics in long bosonic Josephson junctions

Collective excitations and tunneling dynamics in long bosonic Josephson junctions

Bose–Einstein condensates in rotating ring-shaped lattices: a multimode model

Finite-temperature dynamics of a bosonic Josephson junction

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