Dynamics of Bose-Einstein condensates in double-well potentials

Jääskeläinen, Markku; Meystre, Pierre

doi:10.1103/physreva.71.043603

Cited by 39 publications

(32 citation statements)

References 41 publications

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“…The quantum many-body evolution becomes apparent, with characteristic collapse and revival dynamics [26]. This collapse and revival dynamics has been addressed for single component junctions [27,28] and it can be understood in finite systems due to the finite number of frequencies entering in any dynamical evolution in the system.…”

Section: Resultsmentioning

confidence: 99%

Measure synchronization in quantum many-body systems

et al. 2014

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The concept of measure synchronization between two coupled quantum many-body systems is presented. In general terms we consider two quantum many-body systems whose dynamics gets coupled through the contact particle-particle interaction. This coupling is shown to produce measure synchronization, a generalization of synchrony to a large class of systems which takes place in absence of dissipation. We find that in quantum measure synchronization, the many-body quantum properties for the two subsystems, e.g., condensed fractions and particle fluctuations, behave in a coordinated way. To illustrate the concept we consider a simple case of two species of bosons occupying two distinct quantum states. Measure synchronization can be readily explored with state-of-the-art techniques in ultracold atomic gases and, if properly controlled, be employed to build targeted quantum correlations in a sympathetic way.

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Section: Resultsmentioning

confidence: 99%

Measure synchronization in quantum many-body systems

et al. 2014

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“…The Rabi time is t Rabi = π/J, and the Rabi frequency is ω Rabi = 2π/t Rabi = 2J In absence of coupling between a and b, Λ ab = 0, the quantum system a with a non-zero initial population imbalance evolves with time in a well studied fash- ion [28,38,39]. Due to the atom-atom interactions which dephase the different Fock components, the initial distribution of c k evolves in time deforming its initial shape (see Fig.…”

Section: A From Dephasing To Coherent Evolutionmentioning

confidence: 99%

“…To be more specific, we consider two bosonic Josephson junctions, a and b. Subsystem b is taken to be a BEC at all times during the evolution [26], while subsystem a is a standard bosonic Josephson junction, i.e. it may fragment during the evolution [28,38,39]. The coupling between a and b is provided by the contact inter-species interaction.…”

Section: Introductionmentioning

confidence: 99%

Hybrid synchronization in coupled ultracold atomic gases

et al. 2015

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We study the time evolution of two coupled many-body quantum systems one of which is assumed to be Bose condensed. Specifically, we consider two ultracold atomic clouds populating each two localized single-particle states, i.e. a two-component Bosonic Josephson junction. The cold atoms cloud can retain its coherence when coupled to the condensate and displays synchronization with the latter, differing from usual entrainment. We term this effect among the ultracold and the condensed clouds as {\it hybrid synchronization}. The onset of synchronization, which we observe in the evolution of average properties of both gases when increasing their coupling, is found to be related to the many-body properties of the quantum gas, e.g. condensed fraction, quantum fluctuations of the particle number differences. We discuss the effects of different initial preparations, the influence of unequal particle numbers for the two clouds, and explore the dependence on the initial quantum state, e.g. coherent state, squeezed state and Fock state, finding essentially the same phenomenology in all cases.Comment: 12 pages, 15 figure

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“…The eigenfunctions and eigenvalues of the BH Hamiltonian (1) have been studied intensively [1,3,7,9,22,34]. For our subsequent discussion we only need to point out a couple of their properties.…”

Section: A Spectral Properties Of the Bose-hubbard Hamiltonianmentioning

confidence: 99%

“…Bosonic Josephson junctions (BJJ) provide a versatile setup for exploring correlated quantum manybody states, such as pseudo-spin squeezed states and Schrödinger's cat-like states [1][2][3][4][5][6][7][8][9][10]. Moreover, the relations between fully quantal, semiclassical and classical models of BJJ provide insights into phenomena such as dynamical quantum tunneling or quantum chaos [11,12].…”

Section: Introductionmentioning

confidence: 99%

Quantum and thermal fluctuations in bosonic Josephson junctions

et al. 2013

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We use the Bose-Hubbard Hamiltonian to study quantum fluctuations in canonical equilibrium ensembles of bosonic Josephson junctions at relatively high temperatures, comparing the results for finite particle numbers to the classical limit that is attained as $N$ approaches infinity. We consider both attractive and repulsive atom-atom interactions, with especial focus on the behavior near the T=0 quantum phase transition that occurs, for large enough $N$, when attractive interactions surpass a critical level. Differences between Bose-Hubbard results for small $N$ and those of the classical limit are quite small even when $N \sim 100$, with deviations from the limit diminishing as 1/N

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Dynamics of Bose-Einstein condensates in double-well potentials

Cited by 39 publications

References 41 publications

Measure synchronization in quantum many-body systems

Measure synchronization in quantum many-body systems

Hybrid synchronization in coupled ultracold atomic gases

Quantum and thermal fluctuations in bosonic Josephson junctions

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