Two-photon exchange between two three-level atoms in separate cavities

Alexanian, Moorad

doi:10.1103/physreva.83.023814

Cited by 17 publications

(17 citation statements)

References 18 publications

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“…(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18)(19) For instance, for the initial state |ψ = 1…”

Section: Two Coupled Cavities: the Case N =mentioning

confidence: 99%

“…[18,19] for the special cases n = 2 and n = 3. Moreover, the relations (2-15) indicate that in the limit of large hopping strength, the state associated with the initially unentangled atoms, i.e., the initial state with A l (0) = 0, for l = 0, 1, .…”

Section: Large and Small Hopping Strengthsmentioning

confidence: 99%

“…In Refs. [18,19], entanglement properties of two and three atom-cavity systems in which the cavities are coupled via two-photon exchange interaction, was analyzed in detail. Such results could set the pathway towards massively correlated multiphoton nonlinear quantum optical systems [25,26], which are rapidly developing modern subjects nowadays.…”

mentioning

confidence: 99%

“…Naturally, photons represent the best qubit carrier for fast and reliable communication over long distances [12][13][14]. Recently, using photons in order to achieve efficient quantum transmission between spatially distant atoms has considered in several works [15][16][17][18][19][20][21][22]. The basic idea, is to utilize strong coupling between optical cavities and the atoms.…”

mentioning

confidence: 99%

“…[17][18][19], and introducing some suitable basis in which the Hamiltonian of the system can be block-diagonalized, we generalize the discussions of Ref. [18] and Ref. [19] for two and three atom-cavity systems, to a system consisting of n coupled atom-cavity subsystems.…”

mentioning

confidence: 99%

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Atomic and Photonic Entanglement Generation in n Coupled Atom-Cavity Systems

Sufiani

Darkhosh

2014

Int J Theor Phys

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Based on two-photon Jaynes-Cummings Hamiltonian for the n coupled optical cavities each of them containing a single three level atom, the n-qubit and n-photonic state transfer between the corresponding atoms and cavities is investigated. In fact, we consider that the cavities are located at the nodes (vertices) of the complete network (graph) K n at which all of the nodes are connected, so that the cavities are interact with each other (via two photon exchange) completely. Then, quantum state transfer, photon transition between cavities and entanglement generations between n atoms are discussed. More clearly, by employing the consistency of number of photons and atomic excitations (the symmetry of Hamiltonian), the hamiltonian of the system is reduced from 3 n dimensional space into 2n dimensional one. Moreover, by introducing suitable basis for the atom-cavity state space based on Fourier transform, the reduced Hamiltonian is block-diagonalized, with 2 dimensional blocks. Then, the initial state of the system is evolved under the corresponding Hamiltonian and the suitable times T at which the initially unentangled atoms, become maximally entangled, are determined in terms of the hopping strength ξ between cavities.

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“…(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18)(19) For instance, for the initial state |ψ = 1…”

Section: Two Coupled Cavities: the Case N =mentioning

confidence: 99%

Section: Large and Small Hopping Strengthsmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Atomic and Photonic Entanglement Generation in n Coupled Atom-Cavity Systems

Sufiani

Darkhosh

2014

Int J Theor Phys

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Quantum State Transfer in Atom-Cavity Systems with Uncolored Cayley Interacting Networks

Sufiani

2014

Int J Theor Phys

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Considering the two-photon exchange interaction between n coupled cavities each of them containing a two level atom, the atomic and photonic state transfer is investigated. In fact, n atom-cavity systems are considered to be distributed on the nodes of an uncolored Cayley network and interact with each other via the adjacency matrix of the corresponding network. Then, by employing the photon-excitation conservation and also the algebraic structure of the networks, such as irreducible characters of the groups associated with the networks, some suitable basis for the atom-cavity state space is introduced based on the corresponding generalized Fourier transform, so that the Hamiltonian of the whole system, is block diagonalized with two-dimensional blocks. Then, by solving the corresponding Schrödinger equation exactly, quantum state transfer and also entanglement generation between the atoms or the photons are discussed. For instance, the probability amplitudes associated with the photon transition between the cavities or excitation transition between the atoms are obtained in terms of the irreducibles characters of the corresponding network and the hopping parameter ξ between the cavities.

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Decoherence attenuation in the Tavis-Cummings model via transition frequency modulation with dipole–dipole interaction and multi-photon transitions

Zare

Tavassoly

2020

Optik

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Two-photon exchange between two three-level atoms in separate cavities

Cited by 17 publications

References 18 publications

Atomic and Photonic Entanglement Generation in n Coupled Atom-Cavity Systems

Atomic and Photonic Entanglement Generation in n Coupled Atom-Cavity Systems

Quantum State Transfer in Atom-Cavity Systems with Uncolored Cayley Interacting Networks

Decoherence attenuation in the Tavis-Cummings model via transition frequency modulation with dipole–dipole interaction and multi-photon transitions

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