Generation of mesoscopic superpositions of a binary Bose-Einstein condensate in a slightly asymmetric double well

Weiß, Christoph; Teichmann, Niklas

doi:10.1002/lapl.200710078

Cited by 10 publications

(19 citation statements)

References 38 publications

(71 reference statements)

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“…The properties of such double-well lattices are described in Chapter 8. Note that the double-well potentials can be made asymmetric, which provides additional possibilities for regulating the system properties [476].…”

Section: Double-well Registermentioning

confidence: 99%

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: Double-well Registermentioning

confidence: 99%

Cold bosons in optical lattices

2009

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“…While it might sound tempting to realize such a state as, say, the ground state of an attractively interacting Bose-Einstein condensate in a double well, such an approach will not be successful in the presence of tiny asymmetries (cf. [35]) and decoherence. In order to minimize effects of decoherence, mesoscopic quantum superpositions in Bose-Einstein condensates will ideally be realized dynamically on short time scales (Refs.…”

Section: Introductionmentioning

confidence: 99%

Phase-matching condition for enhanced entanglement of colliding indistinguishable quantum bright solitons in a harmonic trap

2014

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Publisher's copyright statement:Additional information: Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-pro t purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. We investigate finite number effects in collisions between two states of an initially well defined number of identical bosons with attractive contact interactions, oscillating in the presence of harmonic confinement in one dimension. We investigate two N/2 atom bound states, which are initially displaced (symmetrically) from the trap center, and then left to freely evolve. For sufficiently attractive interactions, these bound states are like those found through use of the Bethe ansatz (quantum solitons). However, unlike the free case, the integrability is lost due to confinement, and collisions can cause mixing into different bound-state configurations. We study the system numerically for the simplest case of N = 4, via an exact diagonalization of the Hamiltonian within a finite basis, investigating left-right number uncertainty as our primary measure of entanglement. We find that for certain interaction strengths, a phase-matching condition leads to resonant transfer to different bound-state configurations with highly non-Poissonian relative number statistics.

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“…These levels, E 1 and E 2 , are enumerated with the index n = 1 and n = 2. The wave functions of the lowest levels, corresponding to a double-well potential, are such that the ground-state function is symmetric with respect to spatial inversion, while the first excited state is antisymmetric [21],…”

Section: Effective Hamiltonianmentioning

confidence: 99%

Nonlinear dynamics of ultracold gases in double-well lattices

Yukalov

Yukalova

2009

Laser Phys. Lett.

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An ultracold gas is considered, loaded into a lattice, each site of which is formed by a double-well potential. Initial conditions, after the loading, correspond to a nonequilibrium state. The nonlinear dynamics of the system, starting with a nonequilibrium state, is analysed in the local-field approximation. The importance of taking into account attenuation, caused by particle collisions, is emphasized. The presence of this attenuation dramatically influences the system dynamics.

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Generation of mesoscopic superpositions of a binary Bose-Einstein condensate in a slightly asymmetric double well

Cited by 10 publications

References 38 publications

Cold bosons in optical lattices

Cold bosons in optical lattices

Phase-matching condition for enhanced entanglement of colliding indistinguishable quantum bright solitons in a harmonic trap

Nonlinear dynamics of ultracold gases in double-well lattices

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