Phase Properties of a Quantized Field Interacting With an Atom

Dipankar Bhattacharyya, Jyotirmoy Guha

周鹏

The study of the quantized field phase dates back to Diracs definition of the phase operator which came from a polar decomposition of the annihilation operator following a simple analogy with the phase of a classical harmonic oscillator, according to the usual procedure of quantization. Unfortunately, this approach causes inconsistency. Some people attempted to investigate the phase properties from various angles after Dirac.

Pierre Meystre, Murray Sargent

Mai-Lin Liang, Jin-Han Zhang, Bing Yuan

Abstract The Berry phase of two atoms exposed to the same quantized light field has been studied. The interaction between each atom and the light field obeys the Jaynes‐Cummings model. Due to the quantization of the light field, the interaction Hamiltonians for the two atoms interacting with the field do not commute with each other, which induces new parts in the Berry phase. Meanwhile, there appears a phase which doesn't exist in the classical regime and is purely induced by the field quantization.

Bimalendu Deb, Gautam Gangopadhyay, Deb Shankar Ray

We investigate the population trapping in a Raman-coupled three-level system interacting with a pump mode and a Stokes mode in a quantized cavity. We show that with an initial atom-field decoupled state and the atomic state prepared in a coherent superposition of two nondegenerate ground states, population trapping occurs when the phase of the atomic dipole is equal to the phase difference of the two modes and the two-mode field state satisfies a specific photon distribution. In the limit of large total photon number, under some specific conditions, the corresponding two-mode trapping state can be identified as a phase difference state. We have studied the variance of superposition mode quadrature and its evolution, statistical properties, and the phase-space properties of the two-mode trapping field state. It has been observed that although under different conditions the two-mode field exhibits both sub- and super-Poissonian statistics, no squeezing is observed in any case.

Pierre Meystre, Murray Sargent