Variance squeezing and information entropy squeezing via Bloch coherent states in two-level nonlinear spin models
The nonclassical squeezing effect emerging from a nonlinear coupling model (generalized Jaynes-Cummings model) of a two-level atom interacting resonantly with a bimodal cavity field via two-photon transitions is investigated in the rotating wave approximation. Various Bloch coherent initial states (...
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2014
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00304026_v125_n19_p5566_Grinberg http://hdl.handle.net/20.500.12110/paper_00304026_v125_n19_p5566_Grinberg |
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paper:paper_00304026_v125_n19_p5566_Grinberg2023-06-08T14:56:22Z Variance squeezing and information entropy squeezing via Bloch coherent states in two-level nonlinear spin models Atomic population inversion Bloch coherent states Information entropy Quantum state purity Variance squeezing The nonclassical squeezing effect emerging from a nonlinear coupling model (generalized Jaynes-Cummings model) of a two-level atom interacting resonantly with a bimodal cavity field via two-photon transitions is investigated in the rotating wave approximation. Various Bloch coherent initial states (rotated states) for the atomic system are assumed, i.e., (i) ground state, (ii) excited state, and (iii) linear superposition of both states. Initially, the atomic system and the field are in a disentangled state, where the field modes are in Glauber coherent states via Poisson distribution. The model is numerically tested against simulations of time evolution of the based Heisenberg uncertainty relation variance and Shannon information entropy squeezing factors. The quantum state purity is computed for the three possible initial states and used as a criterion to get information about the entanglement of the components of the system. Analytical expression of the total density operator matrix elements at t>0 shows, in fact, the present nonlinear model to be strongly entangled, where each of the definite initial Bloch coherent states is reduced to statistical mixtures. Thus, the present model does not preserve the modulus of the Bloch vector. © 2014 Elsevier GmbH. All rights reserved. 2014 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00304026_v125_n19_p5566_Grinberg http://hdl.handle.net/20.500.12110/paper_00304026_v125_n19_p5566_Grinberg |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Atomic population inversion Bloch coherent states Information entropy Quantum state purity Variance squeezing |
| spellingShingle |
Atomic population inversion Bloch coherent states Information entropy Quantum state purity Variance squeezing Variance squeezing and information entropy squeezing via Bloch coherent states in two-level nonlinear spin models |
| topic_facet |
Atomic population inversion Bloch coherent states Information entropy Quantum state purity Variance squeezing |
| description |
The nonclassical squeezing effect emerging from a nonlinear coupling model (generalized Jaynes-Cummings model) of a two-level atom interacting resonantly with a bimodal cavity field via two-photon transitions is investigated in the rotating wave approximation. Various Bloch coherent initial states (rotated states) for the atomic system are assumed, i.e., (i) ground state, (ii) excited state, and (iii) linear superposition of both states. Initially, the atomic system and the field are in a disentangled state, where the field modes are in Glauber coherent states via Poisson distribution. The model is numerically tested against simulations of time evolution of the based Heisenberg uncertainty relation variance and Shannon information entropy squeezing factors. The quantum state purity is computed for the three possible initial states and used as a criterion to get information about the entanglement of the components of the system. Analytical expression of the total density operator matrix elements at t>0 shows, in fact, the present nonlinear model to be strongly entangled, where each of the definite initial Bloch coherent states is reduced to statistical mixtures. Thus, the present model does not preserve the modulus of the Bloch vector. © 2014 Elsevier GmbH. All rights reserved. |
| title |
Variance squeezing and information entropy squeezing via Bloch coherent states in two-level nonlinear spin models |
| title_short |
Variance squeezing and information entropy squeezing via Bloch coherent states in two-level nonlinear spin models |
| title_full |
Variance squeezing and information entropy squeezing via Bloch coherent states in two-level nonlinear spin models |
| title_fullStr |
Variance squeezing and information entropy squeezing via Bloch coherent states in two-level nonlinear spin models |
| title_full_unstemmed |
Variance squeezing and information entropy squeezing via Bloch coherent states in two-level nonlinear spin models |
| title_sort |
variance squeezing and information entropy squeezing via bloch coherent states in two-level nonlinear spin models |
| publishDate |
2014 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00304026_v125_n19_p5566_Grinberg http://hdl.handle.net/20.500.12110/paper_00304026_v125_n19_p5566_Grinberg |
| _version_ |
1768544810931585024 |