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Geometric phase in an arbitrary evolution of a light beam

Rajendra Bhandari

Physics Letters AFeb 1, 198926 citations

Geometric Phase in an Imaginary Photon Process

元新乔

利用Lewis-Riesenfeld不变量理论，研究了推广的含时二能级虚光子过程的 Jaynes-Cummings模型。发现周期情况下的几何相位与光子场的频率、光子和原子之间的耦合系数以及原子跃迁频率无关。 By using the Lewis-Riesenfeld invariant theory, we have studied the geometric phase in a generalized time-dependent Jaynes-Cummings model with imaginary photon process for two-level atoms interacting with light field. It is found that the geometric phase in a cycle case has nothing to do with the frequency of the photon field, the coupling coefficient between photons and atoms, and the atom transition frequency.利用Lewis-Riesenfeld不变量理论，研究了推广的含时二能级虚光子过程的 Jaynes-Cummings模型。发现周期情况下的几何相位与光子场的频率、光子和原子之间的耦合系数以及原子跃迁频率无关。 By using the Lewis-Riesenfeld invariant theory, we have studied the geometric phase in a generalized time-dependent Jaynes-Cummings model with imaginary photon process for two-level atoms interacting with light field. It is found that the geometric phase in a cycle case has nothing to do with the frequency of the photon field, the coupling coefficient between photons and atoms, and the atom transition frequency.

Modern PhysicsJan 1, 20171 citation

Geometric phase of entangled spin pairs in a magnetic field

Xiangyu Ge, Miki Wadati

The entanglement dependence of the geometric phase is studied in the case of two interacting spins under a time-independent magnetic field. A general entanglement-dependence geometric phase is formulated. This unification scheme covers the analyses by Sj\"oqvist for precessing spins and for isotropically interacting spins. From the general formula, the geometric phase is determined explicitly for an isotropic interaction and nonzero magnetic field.

Physical Review ANov 1, 200515 citations

The Geometric Phase in Quantum Systems

Arno Böhm, Ali Mostafazadeh, Hiroyasu Koizumi +2 more

Springer eBooksJan 1, 2003426 citations

A new optical geometric phase

Stephen G. Benka

Physics TodayJul 1, 20030 citations

Dynamics of quantum effects in a three-level system interacting with two-mode time-dependent fields including parametric down conversion and damping

Mohamad Kh. Ismail, A. H. Ahmed, Tarek M. El-Shahat +3 more

In this article, the interaction between a time-dependent damping field and Λ-type of three-level atom is investigated. The effect of the atom and the fields' parameters on the behaviour of the atomic inversion, the generated entanglement between the atom and the cavity modes, the Pancharatnam geometric phase are discussed. It is shown that the phenomena of the collapses and revivals for the three physical quantities depend on the time-dependent coupling and the damping parameter. The long-lived behaviour of the non-classical correlation is observed either on the presence of only time-dependent coupling or at large values of the damping parameter. The damping effect has different features on the three phenomena, where the atomic inversion decays, the upper bounds of entanglement increases and increases periodic time of the Pancharatnam geometric phase.In this article, the interaction between a time-dependent damping field and Λ-type of three-level atom is investigated. The effect of the atom and the fields' parameters on the behaviour of the atomic inversion, the generated entanglement between the atom and the cavity modes, the Pancharatnam geometric phase are discussed. It is shown that the phenomena of the collapses and revivals for the three physical quantities depend on the time-dependent coupling and the damping parameter. The long-lived behaviour of the non-classical correlation is observed either on the presence of only time-dependent coupling or at large values of the damping parameter. The damping effect has different features on the three phenomena, where the atomic inversion decays, the upper bounds of entanglement increases and increases periodic time of the Pancharatnam geometric phase.

Journal of Modern OpticsApr 28, 20224 citations

Geometric Phase in the Interaction of a Time-Dependent Light Field with ℑ (3) System

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Geometric Phase in the Interaction of a Time-Dependent Light Field with ℑ (3) System

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