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dc.contributor.author
Grinberg, Horacio
dc.date.available
2019-06-13T15:55:24Z
dc.date.issued
2011-09
dc.identifier.citation
Grinberg, Horacio; Nonclassical effects in a highly nonlinear generalized homogeneous Dicke model; Academic Press Inc Elsevier Science; Annals of Physics (New York); 326; 11; 9-2011; 2845-2867
dc.identifier.issn
0003-4916
dc.identifier.uri
http://hdl.handle.net/11336/78205
dc.description.abstract
An intensity dependent nonlinear coupling model of N two-level atoms (generalized Dicke model) interacting dispersively with a bimodal cavity field via two-photon transitions is investigated in a scenario where the rotating wave approximation is assumed. The model becomes homogeneous in the sense that the spin transition frequency is the same for all atoms and the coupling constants emerging from the collective interactions of the atomic system with the cavity field depend only on the particular radiation field mode. This allows us to represent the Dicke Hamiltonian entirely in terms of the total angular momentum J. It is assumed that, initially, the atomic system and the field are in a disentangled state where the field modes are in Glauber coherent states and the atomic system is a superposition of states |JM (Dicke states). The model is numerically tested against simulations of normal squeezing variance of the field, squeezing factors based on the Heisenberg uncertainty principle, along with the statistical properties of the light leading to the possible production of nonclassical effects, such as degree of second-order coherence in the modes, degree of intermode correlation, as well as violation of the Cauchy-Schwartz inequality. Analytical expression of the total density operator matrix elements at t>0 shows the present nonlinear model to be strongly entangled, which is reflected in the time evolution of the linear entropy, where the superposition states are reduced to statistical mixtures. Thus, the present generalized Dicke model does not preserve the modulus of the Bloch vector. The computations, performed in the weak coupling and strong field limits, were conducted via second-order Dyson perturbative expansion of the time evolution operator matrix elements for the totality of the angular momentum states of the atomic system. © 2011 Elsevier Inc.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Academic Press Inc Elsevier Science
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Dicke Model
dc.subject
Entanglement
dc.subject
Linear Entropy
dc.subject
Normal Squeezing
dc.subject
Rotating Wave Approximation
dc.subject
Variance Squeezing
dc.subject.classification
Astronomía
dc.subject.classification
Ciencias Físicas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Nonclassical effects in a highly nonlinear generalized homogeneous Dicke model
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-06-04T20:16:42Z
dc.journal.volume
326
dc.journal.number
11
dc.journal.pagination
2845-2867
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Grinberg, Horacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina
dc.journal.title
Annals of Physics (New York)
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.aop.2011.07.010
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