2008
DOI: 10.1088/0953-4075/41/3/035505
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Generation of Bell, NOON and W states via atom interferometry

Abstract: We propose atom interferometric techniques for the generation of Bell, NOON and W states of an electromagnetic field in high-Q cavities. The fundamental constituent of these techniques is off-resonant Bragg diffraction of atomic de Broglie waves. We show good success probabilities for these schemes under the currently available experimental environment of atom interferometry.

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Cited by 35 publications
(47 citation statements)
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“…1. The order of the Bragg diffraction j 0 describes the number of interactions of the atom with the cavity field and is always an even integer because during one Rabi cycle the momentum imparted to the atom, along the cavity axis, through its interaction with the field is either zero or 2hk [24,25], Thus the momenta acquired by the atom in first-, second-, and third-order Bragg diffraction from the cavity field will be (| Q 0) = l^k ),|G -2) = l-fik)), (|Go) = |2 /lk ),|e _ 4> = \-2 h k )), and (IGo) = |3/ik),|G-6) = |-3fik>), respectively, as a conse quence of the so-called Bragg resonances [27], Such an interaction of a two-level atom with quantized center-of-mass motion is governed by the interaction picture Hamiltonian, written under the dipole and rotating wave approximations as [22,23,25] -Q2 M c H i = ~ + -<r, + hfj. co s{kx)(a cr+ +<5'cr_).…”
Section: Atom Optics Based On Cavity-qed-assisted Bragg Diffractimentioning
confidence: 99%
See 1 more Smart Citation
“…1. The order of the Bragg diffraction j 0 describes the number of interactions of the atom with the cavity field and is always an even integer because during one Rabi cycle the momentum imparted to the atom, along the cavity axis, through its interaction with the field is either zero or 2hk [24,25], Thus the momenta acquired by the atom in first-, second-, and third-order Bragg diffraction from the cavity field will be (| Q 0) = l^k ),|G -2) = l-fik)), (|Go) = |2 /lk ),|e _ 4> = \-2 h k )), and (IGo) = |3/ik),|G-6) = |-3fik>), respectively, as a conse quence of the so-called Bragg resonances [27], Such an interaction of a two-level atom with quantized center-of-mass motion is governed by the interaction picture Hamiltonian, written under the dipole and rotating wave approximations as [22,23,25] -Q2 M c H i = ~ + -<r, + hfj. co s{kx)(a cr+ +<5'cr_).…”
Section: Atom Optics Based On Cavity-qed-assisted Bragg Diffractimentioning
confidence: 99%
“…We, in the present article, suggest a very simple scheme based on off-resonant atom-field interactions of two-level atoms in the Mach-Zehnder-Bragg interferometric scenario to implement QDCE through spatially separated atomic de Broglie waves that explicitly highlights the wave-particle dilemma in its conventional and more realistic sense. It is worth noting here that atomic Bragg diffraction has already been utilized to address various quantum-information tasks [21][22][23][24][25] as well as the foundational issues related to the concept of complementarity [10].…”
Section: Introductionmentioning
confidence: 99%
“…Interaction picture Hamiltonian describing the off-resonant interactions of a two-level atom with the cavity field under dipole and rotating wave approximation may be written as [22][23][24][25],Ĥ…”
Section: Bragg Diffraction and Engineering Of Basic Statesmentioning
confidence: 99%
“…However, almost all of this research is so for limited to only generation of either the cavity field states or the atomic internal states. Quantized atomic external momentum states present another attractive and viable candidate or alternative in this respect as many proposals exist to utilize this unique degree of freedom for quantum information processing [22][23][24][25][26][27][28]. All these suggestions, however, solely rely on quantized atom-field interactions in the cavity QED setups without invoking the use of beam splitter for state preparation and manipulation.…”
mentioning
confidence: 99%
“…Different schemes are proposed to engineer different types of entanglement such as Bell state, Noon state, Werner state, Cluster state, and graph state [5][6][7][8]. Entanglement engineering between two electromagnetic cavities, multimodes of single cavity [9,10] and atomic internal [11][12][13][14] and external degrees of freedom using Bragg diffraction regime [15] are also suggested.…”
Section: Introductionmentioning
confidence: 99%