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Abstract:

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.

Registro:

Documento: Artículo
Título:Correction to the geometric phase by structured environments: The onset of non-Markovian effects
Autor:Lombardo, F.C.; Villar, P.I.
Filiación:Departamento de Física Juan José Giambiagi, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina
Palabras clave: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
Año:2015
Volumen:91
Número:4
DOI: http://dx.doi.org/10.1103/PhysRevA.91.042111
Título revista:Physical Review A - Atomic, Molecular, and Optical Physics
Título revista abreviado:Phys Rev A
ISSN:10502947
CODEN:PLRAA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v91_n4_p_Lombardo

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Citas:

---------- APA ----------
Lombardo, F.C. & Villar, P.I. (2015) . Correction to the geometric phase by structured environments: The onset of non-Markovian effects. Physical Review A - Atomic, Molecular, and Optical Physics, 91(4).
http://dx.doi.org/10.1103/PhysRevA.91.042111
---------- CHICAGO ----------
Lombardo, F.C., Villar, P.I. "Correction to the geometric phase by structured environments: The onset of non-Markovian effects" . Physical Review A - Atomic, Molecular, and Optical Physics 91, no. 4 (2015).
http://dx.doi.org/10.1103/PhysRevA.91.042111
---------- MLA ----------
Lombardo, F.C., Villar, P.I. "Correction to the geometric phase by structured environments: The onset of non-Markovian effects" . Physical Review A - Atomic, Molecular, and Optical Physics, vol. 91, no. 4, 2015.
http://dx.doi.org/10.1103/PhysRevA.91.042111
---------- VANCOUVER ----------
Lombardo, F.C., Villar, P.I. Correction to the geometric phase by structured environments: The onset of non-Markovian effects. Phys Rev A. 2015;91(4).
http://dx.doi.org/10.1103/PhysRevA.91.042111