Correction to the geometric phase by structured environments: The onset of non-Markovian effects
We study the geometric phase of a two-level system under the presence of a structured environment, particularly analyzing its correction with the ohmicity parameter s and the onset of non-Markovianity. We first examine the system coupled to a set of harmonic oscillators and study the decoherence fac...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10502947_v91_n4_p_Lombardo |
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todo:paper_10502947_v91_n4_p_Lombardo2023-10-03T16:00:22Z Correction to the geometric phase by structured environments: The onset of non-Markovian effects Lombardo, F.C. Villar, P.I. Quantum optics Quantum theory Coupling constants Harmonic oscillators Markovian environment Non-Markovian effects Quantum open systems Quantum-information processing Structured environment Two-level system Geometry We study the geometric phase of a two-level system under the presence of a structured environment, particularly analyzing its correction with the ohmicity parameter s and the onset of non-Markovianity. We first examine the system coupled to a set of harmonic oscillators and study the decoherence factor as function of the environment's ohmicity parameter. Second, we propose the two-level system coupled to a nonequilibrium environment, and show that these environments display non-Markovian effects for all values of the ohmicity parameter. The geometric phase of the two-level system is therefore computed under the presence of both types of environment. The correction to the unitary geometric phase is analyzed in both the Markovian and non-Markovian regimes. Under Markovian environments, the correction induced on the system's phase is mainly ruled by the coupling constant between the system and the environment, while in the non-Markovian regime, memory effects seem to trigger a significant correction to the unitary geometric phase. The result is significant to the quantum information processing based on the geometric phase in quantum open systems. © 2015 American Physical Society. Fil:Lombardo, F.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Villar, P.I. 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_v91_n4_p_Lombardo |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Quantum optics Quantum theory Coupling constants Harmonic oscillators Markovian environment Non-Markovian effects Quantum open systems Quantum-information processing Structured environment Two-level system Geometry |
| spellingShingle |
Quantum optics Quantum theory Coupling constants Harmonic oscillators Markovian environment Non-Markovian effects Quantum open systems Quantum-information processing Structured environment Two-level system Geometry Lombardo, F.C. Villar, P.I. Correction to the geometric phase by structured environments: The onset of non-Markovian effects |
| topic_facet |
Quantum optics Quantum theory Coupling constants Harmonic oscillators Markovian environment Non-Markovian effects Quantum open systems Quantum-information processing Structured environment Two-level system Geometry |
| description |
We study the geometric phase of a two-level system under the presence of a structured environment, particularly analyzing its correction with the ohmicity parameter s and the onset of non-Markovianity. We first examine the system coupled to a set of harmonic oscillators and study the decoherence factor as function of the environment's ohmicity parameter. Second, we propose the two-level system coupled to a nonequilibrium environment, and show that these environments display non-Markovian effects for all values of the ohmicity parameter. The geometric phase of the two-level system is therefore computed under the presence of both types of environment. The correction to the unitary geometric phase is analyzed in both the Markovian and non-Markovian regimes. Under Markovian environments, the correction induced on the system's phase is mainly ruled by the coupling constant between the system and the environment, while in the non-Markovian regime, memory effects seem to trigger a significant correction to the unitary geometric phase. The result is significant to the quantum information processing based on the geometric phase in quantum open systems. © 2015 American Physical Society. |
| format |
JOUR |
| author |
Lombardo, F.C. Villar, P.I. |
| author_facet |
Lombardo, F.C. Villar, P.I. |
| author_sort |
Lombardo, F.C. |
| title |
Correction to the geometric phase by structured environments: The onset of non-Markovian effects |
| title_short |
Correction to the geometric phase by structured environments: The onset of non-Markovian effects |
| title_full |
Correction to the geometric phase by structured environments: The onset of non-Markovian effects |
| title_fullStr |
Correction to the geometric phase by structured environments: The onset of non-Markovian effects |
| title_full_unstemmed |
Correction to the geometric phase by structured environments: The onset of non-Markovian effects |
| title_sort |
correction to the geometric phase by structured environments: the onset of non-markovian effects |
| url |
http://hdl.handle.net/20.500.12110/paper_10502947_v91_n4_p_Lombardo |
| work_keys_str_mv |
AT lombardofc correctiontothegeometricphasebystructuredenvironmentstheonsetofnonmarkovianeffects AT villarpi correctiontothegeometricphasebystructuredenvironmentstheonsetofnonmarkovianeffects |
| _version_ |
1807316433489625088 |