Coherent quantum tunneling between two Bose-Einstein condensates

Jack, Michael W.; Collett, M. J.; Walls, D. F.

doi:10.1103/physreva.54.r4625

Cited by 122 publications

(95 citation statements)

References 11 publications

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“…If the two condensates are separated by a barrier through which atoms can tunnel, a bosonic Josephson junction (BJJ) is built and allows for the detection of Josephson-like current-phase effects, analogous to two weakly coupled superconductors. This phenomenon was initially predicted by Javanainen [1] and was further demonstrated by a number of researchers using various techniques [2][3][4][5][6][7][8][9][10][11][12]. In addition, the dc and ac Josephson effects [2][3][4][5] as well as the Shapiro effect [5] in BJJs have been discussed.…”

Section: Introductionmentioning

confidence: 99%

Dissipation effect in the double-well Bose-Einstein condensate

Zheng

Hao

2012

Eur. Phys. J. D

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Dynamics of the double-well Bose-Einstein condensate subject to energy dissipation is studied by solving a reduced one-dimensional time-dependent Gross-Pitaevskii equation numerically. We first reproduce the phase space diagram of the system without dissipation systematically, and then calculate evolutionary trajectories of dissipated systems. It is clearly shown that the dissipation can drive the system to evolve gradually from the π-mode quantum macroscopic self-trapping state, a state with relatively higher energy, to the lowest energy stationary state in which particles distribute equally in the two wells. The average phase and phase distribution in each well are discussed as well. We show that the phase distribution varies slowly in each well but may exhibit abrupt changes near the barrier. This sudden change occurs at the minimum position in particle density profile. We also note that the average phase in each well varies much faster with time than the phase difference between two wells.

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Section: Introductionmentioning

confidence: 99%

Dissipation effect in the double-well Bose-Einstein condensate

Zheng

Hao

2012

Eur. Phys. J. D

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“…1. The first (Fig 1a) is a condensate confined in a double-well trap [3][4][5][6][7][8] which may be formed by splitting a harmonic trap with a far off resonance intense laser sheet [9]. In this case singleparticle tunneling provides a linear coupling between the local mode solutions of the individual wells, which can in principle be tuned over a wide range of strengths by adjusting the laser sheet intensity.…”

Section: The Two-mode Condensatementioning

confidence: 99%

Dynamics of a two-mode Bose-Einstein condensate beyond mean-field theory

2001

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We study the dynamics of a two-mode Bose-Einstein condensate in the vicinity of a mean-field dynamical instability. Convergence to mean-field theory (MFT), with increasing total number of particles N , is shown to be logarithmically slow. Using a density matrix formalism rather than the conventional wavefunction methods, we derive an improved set of equations of motion for the mean-field plus the fluctuations, which goes beyond MFT and provides accurate predictions for the leading quantum corrections and the quantum break time. We show that the leading quantum corrections appear as decoherence of the reduced single-particle quantum state; we also compare this phenomenon to the effects of thermal noise. Using the rapid dephasing near an instability, we propose a method for the direct measurement of scattering lengths.

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“…Josephson oscillations, i.e. oscillation of population imbalance and relative phase of the two condensates, are predicted [13,14,15], if the initial population imbalance of the two wells is below a critical value. The dynamics changes drastically for initial population differences above the threshold for macroscopic quantum self-trapping z c [16,17,18] where large amplitude Josephson oscillations are inhibited and the phase difference increases in time.…”

Section: Josephson Oscillations and Self-trappingmentioning

confidence: 99%

Realization of a single Josephson junction for Bose–Einstein condensates

et al. 2005

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We report on the realization of a doublewell potential for Rubidium-87 Bose-Einstein condensates. The experimental setup allows the investigation of two different dynamical phenomena known for this system -Josephson oscillations and self-trapping. We give a detailed discussion of the experimental setup and the methods used for calibrating the relevant parameters. We compare our experimental findings with the predictions of an extended two-mode model and find quantitative agreement.

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Coherent quantum tunneling between two Bose-Einstein condensates

Cited by 122 publications

References 11 publications

Dissipation effect in the double-well Bose-Einstein condensate

Dissipation effect in the double-well Bose-Einstein condensate

Dynamics of a two-mode Bose-Einstein condensate beyond mean-field theory

Realization of a single Josephson junction for Bose–Einstein condensates

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