Beam splitter for Bose-Einstein condensates based on Bragg scattering from a cavity mode

Burgbacher, Frank; Audretsch, Jürgen

doi:10.1103/physreva.60.r3385

Cited by 6 publications

(5 citation statements)

References 13 publications

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“…The cooling, trapping and coherent manipulation of the atomic motion by their interaction with light has been established by numerous investigations in the field of atom interferometers [2], matter-wave superradiance [3], matter wave parametric amplifiers [4,5] and others [6]. One should mention also the opportunities garnered by using the ultra-cold alkali atoms as quantum computers [7], or by using the Mott insulating state of neutral bosonic atoms for detection of quantum entanglement [8,9,10].The custom-made trapping potentials in the optical lattice has also opened a venue to study many condensed matter problems, such as the Mott insulator transition experimentally realized by Greiner et al [11] Although many different regimes exist for optical lattice experiments, one that is quite interesting from a theoretical point of view is that of a deep lattice with few particles per lattice site.…”

Section: Introductionmentioning

confidence: 99%

Mean-field theory for Bose-Hubbard model under a magnetic field

2007

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We consider the superfluid-insulator transition for cold bosons under an effective magnetic field. We investigate how the applied magnetic field affects the Mott transition within mean-field theory and find that the critical hopping strength (t U)c increases with the applied field. The increase in the critical hopping follows the bandwidth of the Hofstadter butterfly at the given value of the magnetic field. We also calculate the magnetization and superfluid density within mean-field theory. © 2007 The American Physical Society

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Section: Introductionmentioning

confidence: 99%

Mean-field theory for Bose-Hubbard model under a magnetic field

2007

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“…For matter wave, an early beam splitter can be referred to the experiments of neutron interference based on a perfect crystal interferometer with wavefront and amplitude division [37]. Moreover, for cold atoms, a beam splitter has been experimentally implemented on the atom chip [38−40] The theoretical method has been suggested to realize the beam splitter for the Bose-Einstein condensate [41,42].…”

Section: Basic Setupmentioning

confidence: 99%

Quantum dynamics of tight-binding networks coherently controlled by external fields

2007

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With some reviews on the investigations on the schemes for quantum state transfer based on spin systems, we discuss the quantum dynamics of magnetically-controlled networks for Bloch electrons. The networks are constructed by connecting several tight-binding chains with uniform nearest-neighbor hopping integrals. The external magnetic field and the connecting hopping integrals can be used to control the intrinsic properties of the networks. For several typical networks, rigorous results are shown for some specific values of external magnetic field and the connecting hopping integrals: a complicated network can be reduced into a virtual network, which is a direct sum of some independent chains with uniform nearest-neighbor hopping integrals. These reductions are due to the fermionic statistics and the Aharonov-Bohm effects. In application, we study the quantum dynamics of wave packet motion of Bloch electrons in such networks. For various geometrical configurations, these networks can function as some optical devices, such as beam splitters, switches and interferometers. When the Bloch electrons as Gaussian wave packets input these devices, various quantum coherence phenomena can be observed, e.g., the perfect quantum state transfer without reflection in a Y-shaped beam, the multi-mode entanglers of electron wave by star-shaped network, magnetically controlled switches, and Bloch electron interferometer with the lattice Aharonov-Bohm effects. With these quantum coherent features, the networks are expected to be used as quantum information processors for the fermion system based on the possible engineered solid state systems, such as the array of quantum dots that can be implemented experimentally.Keywords quantum information, quantum state transfer, entanglement, A-B effect PACS numbers 03.65.Ud

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“…For matter waves, an early beam splitter can be referred to the experiments of neutron interference based on a perfect crystal interferometer with wavefront and amplitude division [4]; and now an atomic beam splitter has been experimentally implemented on the atom chip [5]. The theoretical protocols have been suggested to realize the beam splitter for the Bose-Einstein condensate [6].…”

Section: Introductionmentioning

confidence: 99%

Beam splitter for spin waves in quantum spin network

2006

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We theoretically design and analytically study a controllable beam splitter for the spin wave propagating in a star-shaped (e.g., a Y -shaped beam) spin network. Such a solid state beam splitter can display quantum interference and quantum entanglement by the well-aimed controls of interaction on nodes. It will enable an elementary interferometric device for scalable quantum information processing based on the solid system.

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Beam splitter for Bose-Einstein condensates based on Bragg scattering from a cavity mode

Cited by 6 publications

References 13 publications

Mean-field theory for Bose-Hubbard model under a magnetic field

Mean-field theory for Bose-Hubbard model under a magnetic field

Quantum dynamics of tight-binding networks coherently controlled by external fields

Beam splitter for spin waves in quantum spin network

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