Decoherence induced by a chaotic enviroment: A quantum walker with a complex coin
We study the differences between the processes of decoherence induced by chaotic and regular environments. For this we analyze a family of simple models that contain both regular and chaotic environments. In all cases the system of interest is a "quantum walker," i.e., a quantum particle t...
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todo:paper_10502947_v73_n1_p_Ermann2023-10-03T15:59:47Z Decoherence induced by a chaotic enviroment: A quantum walker with a complex coin Ermann, L. Paz, J.P. Saraceno, M. Chaos theory Coherent light Mathematical models Decoherence Quantum walker Quantum theory We study the differences between the processes of decoherence induced by chaotic and regular environments. For this we analyze a family of simple models that contain both regular and chaotic environments. In all cases the system of interest is a "quantum walker," i.e., a quantum particle that can move on a lattice with a finite number of sites. The walker interacts with an environment which has a D -dimensional Hilbert space. The results we obtain suggest that regular and chaotic environments are not distinguishable from each other in a (short) time scale t*, which scales with the dimensionality of the environment as t* log2 (D). However, chaotic environments continue to be effective over exponentially longer time scales while regular environments tend to reach saturation much sooner. We present both numerical and analytical results supporting this conclusion. The family of chaotic evolutions we consider includes the so-called quantum multibaker map as a particular case. © 2006 The American Physical Society. Fil:Ermann, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Paz, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Saraceno, M. 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_10502947_v73_n1_p_Ermann |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Chaos theory Coherent light Mathematical models Decoherence Quantum walker Quantum theory |
| spellingShingle |
Chaos theory Coherent light Mathematical models Decoherence Quantum walker Quantum theory Ermann, L. Paz, J.P. Saraceno, M. Decoherence induced by a chaotic enviroment: A quantum walker with a complex coin |
| topic_facet |
Chaos theory Coherent light Mathematical models Decoherence Quantum walker Quantum theory |
| description |
We study the differences between the processes of decoherence induced by chaotic and regular environments. For this we analyze a family of simple models that contain both regular and chaotic environments. In all cases the system of interest is a "quantum walker," i.e., a quantum particle that can move on a lattice with a finite number of sites. The walker interacts with an environment which has a D -dimensional Hilbert space. The results we obtain suggest that regular and chaotic environments are not distinguishable from each other in a (short) time scale t*, which scales with the dimensionality of the environment as t* log2 (D). However, chaotic environments continue to be effective over exponentially longer time scales while regular environments tend to reach saturation much sooner. We present both numerical and analytical results supporting this conclusion. The family of chaotic evolutions we consider includes the so-called quantum multibaker map as a particular case. © 2006 The American Physical Society. |
| format |
JOUR |
| author |
Ermann, L. Paz, J.P. Saraceno, M. |
| author_facet |
Ermann, L. Paz, J.P. Saraceno, M. |
| author_sort |
Ermann, L. |
| title |
Decoherence induced by a chaotic enviroment: A quantum walker with a complex coin |
| title_short |
Decoherence induced by a chaotic enviroment: A quantum walker with a complex coin |
| title_full |
Decoherence induced by a chaotic enviroment: A quantum walker with a complex coin |
| title_fullStr |
Decoherence induced by a chaotic enviroment: A quantum walker with a complex coin |
| title_full_unstemmed |
Decoherence induced by a chaotic enviroment: A quantum walker with a complex coin |
| title_sort |
decoherence induced by a chaotic enviroment: a quantum walker with a complex coin |
| url |
http://hdl.handle.net/20.500.12110/paper_10502947_v73_n1_p_Ermann |
| work_keys_str_mv |
AT ermannl decoherenceinducedbyachaoticenviromentaquantumwalkerwithacomplexcoin AT pazjp decoherenceinducedbyachaoticenviromentaquantumwalkerwithacomplexcoin AT saracenom decoherenceinducedbyachaoticenviromentaquantumwalkerwithacomplexcoin |
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1782031088225353728 |