Geometric phase in a Λ-type k-photon Jaynes-Cummings model with imaginary photon process

Fu Ping Liu; Zhao Xian Yu; Zhi Yong Jiao; Shuo Jin

doi:10.1007/s10773-008-9905-9

Geometric phase in a Λ-type k-photon Jaynes-Cummings model with imaginary photon process

Fu Ping Liu
, Zhao Xian Yu^*
, Zhi Yong Jiao
, Shuo Jin

^*Corresponding author for this work

School of Physics

Beijing Institute of Graphic Communication
Beijing Information Science & Technology University
China University of Petroleum (East China)

Research output: Contribution to journal › Article › peer-review

Abstract

By using the Lewis-Riesenfeld invariant theory, we have studied the dynamical and the geometric phases in a generalized time-dependent Λ-type k-photon Jaynes-Cummings model with imaginary photon process. We find that the geometric phases in a cycle case are independent of the frequency of the photon field, the coupling coefficient between photons and atoms, and the atom transition frequency. If we use the more accuracy device, the geometric phases in this process may be observed, and the geometric phases in this process have the observable physical effect.

Original language	English
Pages (from-to)	1341-1347
Number of pages	7
Journal	International Journal of Theoretical Physics
Volume	48
Issue number	5
DOIs	https://doi.org/10.1007/s10773-008-9905-9
State	Published - May 2009

Keywords

Generalized Jaynes-Cummings model
Geometric phase

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10.1007/s10773-008-9905-9

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abstract = "By using the Lewis-Riesenfeld invariant theory, we have studied the dynamical and the geometric phases in a generalized time-dependent Λ-type k-photon Jaynes-Cummings model with imaginary photon process. We find that the geometric phases in a cycle case are independent of the frequency of the photon field, the coupling coefficient between photons and atoms, and the atom transition frequency. If we use the more accuracy device, the geometric phases in this process may be observed, and the geometric phases in this process have the observable physical effect.",

keywords = "Generalized Jaynes-Cummings model, Geometric phase",

author = "Liu, \{Fu Ping\} and Yu, \{Zhao Xian\} and Jiao, \{Zhi Yong\} and Shuo Jin",

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AU - Liu, Fu Ping

AU - Yu, Zhao Xian

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AU - Jin, Shuo

PY - 2009/5

Y1 - 2009/5

N2 - By using the Lewis-Riesenfeld invariant theory, we have studied the dynamical and the geometric phases in a generalized time-dependent Λ-type k-photon Jaynes-Cummings model with imaginary photon process. We find that the geometric phases in a cycle case are independent of the frequency of the photon field, the coupling coefficient between photons and atoms, and the atom transition frequency. If we use the more accuracy device, the geometric phases in this process may be observed, and the geometric phases in this process have the observable physical effect.

AB - By using the Lewis-Riesenfeld invariant theory, we have studied the dynamical and the geometric phases in a generalized time-dependent Λ-type k-photon Jaynes-Cummings model with imaginary photon process. We find that the geometric phases in a cycle case are independent of the frequency of the photon field, the coupling coefficient between photons and atoms, and the atom transition frequency. If we use the more accuracy device, the geometric phases in this process may be observed, and the geometric phases in this process have the observable physical effect.

KW - Generalized Jaynes-Cummings model

KW - Geometric phase

UR - https://www.scopus.com/pages/publications/67349283348

U2 - 10.1007/s10773-008-9905-9

DO - 10.1007/s10773-008-9905-9

M3 - 文章

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JO - International Journal of Theoretical Physics

JF - International Journal of Theoretical Physics

IS - 5

ER -

Geometric phase in a Λ-type k-photon Jaynes-Cummings model with imaginary photon process

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Keywords

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