Coherent state propagation in open systems
We introduce the generalized coherent states (G.C.S.) as eigenstates of the unitarily equivalent representations of the annihilation operator. The G.C.S. extension in phase space evolves with time and keeps the uncertainly product (with correlation) at its minimum. The conditions for the propagation...
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1982
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paper:paper_03784371_v112_n1-2_p193_Remaud2023-06-08T15:39:46Z Coherent state propagation in open systems Dorso, Claudio Oscar Hernández, Ester Susana We introduce the generalized coherent states (G.C.S.) as eigenstates of the unitarily equivalent representations of the annihilation operator. The G.C.S. extension in phase space evolves with time and keeps the uncertainly product (with correlation) at its minimum. The conditions for the propagation of the G.C.S. in a time-dependent field are derived. In the presence of dissipation, an equation of motion is found that describes the G.C.S. decay towards the ground state; its results are compared with those of non-linear Schrödinger equations. © 1982. Fil:Dorso, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Hernandez, E.S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1982 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v112_n1-2_p193_Remaud http://hdl.handle.net/20.500.12110/paper_03784371_v112_n1-2_p193_Remaud |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
description |
We introduce the generalized coherent states (G.C.S.) as eigenstates of the unitarily equivalent representations of the annihilation operator. The G.C.S. extension in phase space evolves with time and keeps the uncertainly product (with correlation) at its minimum. The conditions for the propagation of the G.C.S. in a time-dependent field are derived. In the presence of dissipation, an equation of motion is found that describes the G.C.S. decay towards the ground state; its results are compared with those of non-linear Schrödinger equations. © 1982. |
author |
Dorso, Claudio Oscar Hernández, Ester Susana |
spellingShingle |
Dorso, Claudio Oscar Hernández, Ester Susana Coherent state propagation in open systems |
author_facet |
Dorso, Claudio Oscar Hernández, Ester Susana |
author_sort |
Dorso, Claudio Oscar |
title |
Coherent state propagation in open systems |
title_short |
Coherent state propagation in open systems |
title_full |
Coherent state propagation in open systems |
title_fullStr |
Coherent state propagation in open systems |
title_full_unstemmed |
Coherent state propagation in open systems |
title_sort |
coherent state propagation in open systems |
publishDate |
1982 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v112_n1-2_p193_Remaud http://hdl.handle.net/20.500.12110/paper_03784371_v112_n1-2_p193_Remaud |
work_keys_str_mv |
AT dorsoclaudiooscar coherentstatepropagationinopensystems AT hernandezestersusana coherentstatepropagationinopensystems |
_version_ |
1768544644109434880 |