| dc.contributor | HECTOR MANUEL MOYA CESSA | |
| dc.creator | ROBERTO DE JESUS LEON MONTIEL | |
| dc.date | 2010-05 | |
| dc.date.accessioned | 2023-07-25T16:21:46Z | |
| dc.date.available | 2023-07-25T16:21:46Z | |
| dc.identifier | http://inaoe.repositorioinstitucional.mx/jspui/handle/1009/520 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/7805738 | |
| dc.description | In this thesis, we construct nonlinear coherent states for the Susskind-Glogower
operators by the application of the displacement operator on the vacuum state.
We also construct nonlinear coherent states as eigenfunctions of a Hamiltonian
constructed with the Susskind-Glogower operators. We generalize the solution
to the eigenfunction problem to an arbitrary jmi initial condition. To analize
the obtained results, we plot the Husimi Q function, the photon number
probability distribution and the Mandel Q-parameter. For both cases, we nd
that the constructed states exhibit interesting nonclassical features such as
amplitude squeezing and quantum inteferences due to a self-splitting into two
coherent-like states. Additionally, we show that nonlinear coherent states may
be modelled by propagating light in semi-innite arrays of optical bers. | |
| dc.description | En la presente tesis, construímos estados coherentes no lineales para los operadores
de Susskind-Glogower mediante la aplicación del operador de desplazamiento
al estado de vacío. Construímos estados no lineales como eigenfunciones
de un Hamiltoniano construído con los operadores de Susskind-Glogower. Generalizamos
la solución al problema de eigenfunciones para una condición
inicial arbitraria jmi. Para analizar los resultados obtenidos, graficamos la
función Q de Husimi, la distribución de fotones y el parámetro Q de Mandel.
En ambos casos, encontramos que los estados construídos presentan características
no lineales tales como compresión en amplitud e interferencia cuántica
debida a la separación del estado en dos estados semejantes a los estados coherentes.
Adicionalmente, mostramos que los estados coherentes no lineales
pueden ser modelados mediante luz propagada en arreglos semi-innitos de
bras ópticas. | |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Instituto Nacional de Astrofísica, Óptica y Electrónica | |
| dc.relation | citation:Leon-Montiel R.J. | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/4.0 | |
| dc.subject | info:eu-repo/classification/Óptica cuántica/Quantum optics | |
| dc.subject | info:eu-repo/classification/Estados coherentes/Coherent states | |
| dc.subject | info:eu-repo/classification/Sistemas no lineales/Nonlinear systems | |
| dc.subject | info:eu-repo/classification/cti/1 | |
| dc.subject | info:eu-repo/classification/cti/22 | |
| dc.subject | info:eu-repo/classification/cti/2209 | |
| dc.subject | info:eu-repo/classification/cti/2209 | |
| dc.title | Nonlinear coherent states for the Susskind-Glogower operators | |
| dc.type | info:eu-repo/semantics/masterThesis | |
| dc.type | info:eu-repo/semantics/acceptedVersion | |
| dc.audience | students | |
| dc.audience | researchers | |
| dc.audience | generalPublic | |
