Journal ArticleDOI
Quantum treatment for three waves mutually interacting with a single two-level atom
TLDR
In this article, the authors studied the interaction between a two-level atom and three types of interaction of three quantized modes of a quantized field, namely: two parametric amplifiers and a frequency converter.Abstract:
In this paper, we study the interaction between a two-level atom and three types of interaction of three quantized modes of a quantized field, namely: two parametric amplifiers and a frequency converter. The SU(1, 1) algebra is used to represent the combination of the interacting modes. A canonical transformation is used to cast the Hamiltonian into a tangible form. The solution of the Schrodinger equation for the wave function is given analytically. Using this solution we discuss numerically the atomic inversion, the degree of entanglement through the linear entropy and the variance entropy for chosen values of the detuning and coupling parameters. It is shown that the atomic inversion can be controlled through the rotation angle α and the atomic angle θ as well as the Bargmann index k. The degree of entanglement is affected by both α and θ in addition to the ratio ϵ. Variance squeezing is sensitive to changes in the atomic and the phase angles besides the parameter k. For entropy squeezing, the effective parameters are α, θ and k.read more
Citations
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Journal ArticleDOI
The interaction between a single two-level atom coupled to an N-level quantum system through three couplings
TL;DR: In this article, the authors introduce the problem of three types of interaction between an N -level quantum system and a two-level atom where three coupling parameters are involved, and they use the canonical transformation to remove two coupling parameters from the system and consequently reduce it to atom-atom interaction.
Journal ArticleDOI
Single‐Atom Entanglement for a System of Directly Linked Two Cavities in the Presence of an External Classical Field: Effect of Atomic Coherence
Journal ArticleDOI
Some statistical properties of the interaction between a two-level atom and three field modes
Abstract: We consider the interaction between a two-level atom and a quantum system that consists of three electromagnetic fields. An analytic solution is provided for the wave function of a pairwise mutual interaction between a two-level atom and three modes using a frequency converter. SU(2) group generators are used to describe these field mode interactions. In addition, a canonical transformation is employed in order to convert the Hamiltonian model into a Jaynes–Cumming-like model, which is used to solve the Schrodinger equation. Statistical properties related to the atomic inversion, entanglement, and squeezing phenomena are discussed. Superstructure patterns and partial disentanglement, as well as squeezing swapping between quadratures, are displayed for selected parameters.
Journal ArticleDOI
Analytical solution of a three-level atom coupled to four systems of N-two-level atoms
TL;DR: In this article, the analytical solution of a three-level atom interacting with four systems of N-two-level atoms is studied, and the effects of the quantum numbers and the coupling parameters between spins on the atomic inversion and the correlation function are investigated.
Journal ArticleDOI
Nonclassical Properties for Two Coupled N-Two-Level Atom and a Single Two-Level Atom Under an External Magnetic Field
TL;DR: In this paper, the interaction between a single two-level atom and N twolevel atoms under the effect of a uniform magnetic field was studied and the exact solution was obtained and the expectation value of the time-dependent quantum operators calculated using the Block state (the generalized coherent state).
References
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Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
Charles H. Bennett,Gilles Brassard,Claude Crépeau,Richard Jozsa,Asher Peres,William K. Wootters +5 more
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Communication via One- and Two-Particle Operators on Einstein-Podolsky-Rosen States
TL;DR: The set of states accessible from an initial EPR state by one-particle operations are characterized and it is shown that in a sense they allow two bits to be encoded reliably in one spin-1/2 particle.
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Scheme for reducing decoherence in quantum computer memory
TL;DR: In the mid-1990s, theorists devised methods to preserve the integrity of quantum bits\char22{}techniques that may become the key to practical quantum computing on a large scale.
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TL;DR: In this paper, the authors define the notion of generalized coherent states and define a generalization of the Coherent State Representation T?(g) of the Heisenberg-Weyl Group.
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