Decoherence for classically chaotic quantum maps
We study the behavior of an open quantum system, with an N-dimensional space of states, whose density matrix evolves according to a nonunitary map defined in two steps: A unitary step, where the system evolves with an evolution operator obtained by quantizing a classically chaotic map (baker’s map a...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_1063651X_v65_n4_p12_Bianucci |
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todo:paper_1063651X_v65_n4_p12_Bianucci2023-10-03T16:01:38Z Decoherence for classically chaotic quantum maps Bianucci, P. Paz, J.P. Saraceno, M. We study the behavior of an open quantum system, with an N-dimensional space of states, whose density matrix evolves according to a nonunitary map defined in two steps: A unitary step, where the system evolves with an evolution operator obtained by quantizing a classically chaotic map (baker’s map and Harper’s map are the two examples we consider). A nonunitary step where the evolution operator for the density matrix mimics the effect of diffusion in the semiclassical (large [formula presented] limit. The process of decoherence and the transition from quantum to classical behavior are analyzed in detail by means of numerical and analytic tools. The existence of a regime where the entropy grows with a rate that is independent of the strength of the diffusion coefficient is demonstrated. The nature of the processes that determine the production of entropy is analyzed. © 2002 The American Physical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_1063651X_v65_n4_p12_Bianucci |
| 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 study the behavior of an open quantum system, with an N-dimensional space of states, whose density matrix evolves according to a nonunitary map defined in two steps: A unitary step, where the system evolves with an evolution operator obtained by quantizing a classically chaotic map (baker’s map and Harper’s map are the two examples we consider). A nonunitary step where the evolution operator for the density matrix mimics the effect of diffusion in the semiclassical (large [formula presented] limit. The process of decoherence and the transition from quantum to classical behavior are analyzed in detail by means of numerical and analytic tools. The existence of a regime where the entropy grows with a rate that is independent of the strength of the diffusion coefficient is demonstrated. The nature of the processes that determine the production of entropy is analyzed. © 2002 The American Physical Society. |
| format |
JOUR |
| author |
Bianucci, P. Paz, J.P. Saraceno, M. |
| spellingShingle |
Bianucci, P. Paz, J.P. Saraceno, M. Decoherence for classically chaotic quantum maps |
| author_facet |
Bianucci, P. Paz, J.P. Saraceno, M. |
| author_sort |
Bianucci, P. |
| title |
Decoherence for classically chaotic quantum maps |
| title_short |
Decoherence for classically chaotic quantum maps |
| title_full |
Decoherence for classically chaotic quantum maps |
| title_fullStr |
Decoherence for classically chaotic quantum maps |
| title_full_unstemmed |
Decoherence for classically chaotic quantum maps |
| title_sort |
decoherence for classically chaotic quantum maps |
| url |
http://hdl.handle.net/20.500.12110/paper_1063651X_v65_n4_p12_Bianucci |
| work_keys_str_mv |
AT bianuccip decoherenceforclassicallychaoticquantummaps AT pazjp decoherenceforclassicallychaoticquantummaps AT saracenom decoherenceforclassicallychaoticquantummaps |
| _version_ |
1807316860653273088 |