Dynamics of quantum trajectories in chaotic systems
Quantum trajectories defined in the de Broglie-Bohm theory provide a causal way to interpret physical phenomena. In this letter, we use this formalism to analyze the short-time dynamics induced by unstable periodic orbits in a classically chaotic system, a situation in which scars are known to play...
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2003
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02955075_v64_n4_p441_Wisniacki http://hdl.handle.net/20.500.12110/paper_02955075_v64_n4_p441_Wisniacki |
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paper:paper_02955075_v64_n4_p441_Wisniacki2023-06-08T15:27:08Z Dynamics of quantum trajectories in chaotic systems Wisniacki, Diego A. Quantum trajectories defined in the de Broglie-Bohm theory provide a causal way to interpret physical phenomena. In this letter, we use this formalism to analyze the short-time dynamics induced by unstable periodic orbits in a classically chaotic system, a situation in which scars are known to play a very important role. We find that the topologies of the quantum orbits are much more complicated than that of the scarring and associated periodic orbits, since the former have quantum interference built in. Thus scar wave functions are necessary to analyze the corresponding dynamics. Moreover, these topologies imply different return routes to the vicinity of the initial positions, and this reflects in the existence of different contributions in each peak of the survival probability function. Fil:Wisniacki, D.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2003 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02955075_v64_n4_p441_Wisniacki http://hdl.handle.net/20.500.12110/paper_02955075_v64_n4_p441_Wisniacki |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
Quantum trajectories defined in the de Broglie-Bohm theory provide a causal way to interpret physical phenomena. In this letter, we use this formalism to analyze the short-time dynamics induced by unstable periodic orbits in a classically chaotic system, a situation in which scars are known to play a very important role. We find that the topologies of the quantum orbits are much more complicated than that of the scarring and associated periodic orbits, since the former have quantum interference built in. Thus scar wave functions are necessary to analyze the corresponding dynamics. Moreover, these topologies imply different return routes to the vicinity of the initial positions, and this reflects in the existence of different contributions in each peak of the survival probability function. |
| author |
Wisniacki, Diego A. |
| spellingShingle |
Wisniacki, Diego A. Dynamics of quantum trajectories in chaotic systems |
| author_facet |
Wisniacki, Diego A. |
| author_sort |
Wisniacki, Diego A. |
| title |
Dynamics of quantum trajectories in chaotic systems |
| title_short |
Dynamics of quantum trajectories in chaotic systems |
| title_full |
Dynamics of quantum trajectories in chaotic systems |
| title_fullStr |
Dynamics of quantum trajectories in chaotic systems |
| title_full_unstemmed |
Dynamics of quantum trajectories in chaotic systems |
| title_sort |
dynamics of quantum trajectories in chaotic systems |
| publishDate |
2003 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02955075_v64_n4_p441_Wisniacki http://hdl.handle.net/20.500.12110/paper_02955075_v64_n4_p441_Wisniacki |
| work_keys_str_mv |
AT wisniackidiegoa dynamicsofquantumtrajectoriesinchaoticsystems |
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1768544037855297536 |