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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todo:paper_03784371_v112_n1-2_p193_Remaud2023-10-03T15:32:22Z Coherent state propagation in open systems Remaud, B. Dorso, C. Hernandez, E.S. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 |
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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. |
| format |
JOUR |
| author |
Remaud, B. Dorso, C. Hernandez, E.S. |
| spellingShingle |
Remaud, B. Dorso, C. Hernandez, E.S. Coherent state propagation in open systems |
| author_facet |
Remaud, B. Dorso, C. Hernandez, E.S. |
| author_sort |
Remaud, B. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_03784371_v112_n1-2_p193_Remaud |
| work_keys_str_mv |
AT remaudb coherentstatepropagationinopensystems AT dorsoc coherentstatepropagationinopensystems AT hernandezes coherentstatepropagationinopensystems |
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1782031130565804032 |