© 2026 Aqora Quantum S.A.S.

Terms Privacy Legal Notice

Physical Review A

SU(2) linear canonical transformation and dynamics in the multiphoton Jaynes-Cummings interaction

Han-Qian Gong

Published Jan 1, 1997• 3 citations

Abstract

The formulation of the evolution operator for the multiphoton Jaynes-Cummings interaction in the decomposition form is presented, in terms of the SU(2) rotation transformation proposed by the present author [J. Mod. Opt. 39, 2209 (1992)]. The study of the dynamical evolution of the photon statistics for the case of intensity dependent coupling with m-photon atomic transition exhibits a number of novel features (sub-Poissonian and oscillatory distributions). It is shown that for m=1 the field distribution oscillates exactly in a periodic sequence without the limitation of the large mean photon number n-bar, and that for m=2 the oscillatory distributions emerge at one-quarter and three-quarters of the revival time for the initially high boson excitation regardless of the initial condition of the atomic state.

DOI: 10.1103/physreva.55.725

Related papers

Photon Statistics in Thermal Multiphoton Jaynes-Cummings Models with an Initially Excited Atom

M. Kozierowski, S. M. Chumakov, J. J. Sánchez-Mondragón

Analytical expressions for the time evolution of the mean photon number and normally ordered photon number variance for the case of an initially thermal cavity field coupled to an initially excited two-level atom with m-photon transitions are proposed. The emergence of sub-Poissonian field statistics is discussed.

Journal of Modern Optics•Sep 1, 1993•8 citations

Field statistics in some generalized Jaynes-Cummings models

Surendra Singh

Photon statistics in some fully quantized models of the interaction of a two-level atom with a single-mode radiation field have been studied using the operator equations of motion. Expressions for the photon number distribution and the mean photon number are presented for various initial conditions. It is found that the mean photon number may show decays and revivals of coherence similar to those of the atomic inversion in the coherent-state Jaynes-Cummings model. Application of these models to the study of multiphoton laser, absorption, and emission processes is also discussed.

Physical Review A•Jun 1, 1982•221 citations

Generation of sub-Poissonian and squeezed fields in the thermal superposition Jaynes-Cummings model

M. Kozierowski, Juan F. Poyatos, Luis Lorenzo Sánchez-Soto

Approximate analytical expressions for the time evolution of the photon-number statistics and squeezing in the thermal Jaynes-Cummings model with a two-level atom being initially in a coherent superposition of its ground and excited states are presented.

Physical Review A•Mar 1, 1995•10 citations

Physical interpretation of operator dynamics in the Jaynes-Cummings model

A. Bandilla, H.‐H. Ritze

By means of simple mathematical methods, typical properties of the quantum dynamics in the Jaynes-Cummings model are discussed. The methods used allow a clear physical interpretation in the sense of an ensemble average and permit an investigation of the influence of the initial photon distribution width on collapse and revivals. Results obtained by a more sophisticated treatment provide corrections which are on the order 1/ square root N/sub 0/ for N/sub 0/>>1 where N/sub 0/ is the average photon number. The time evolution of the electric field strength and the photon distribution are also studied.>

IEEE Journal of Quantum Electronics•Jul 1, 1988•14 citations

One- and two-photon Jaynes-Cummings models as sources of sub-Poissonian fields by chaotic pumping

M. Kozierowski

The multiphoton Jaynes-Cummings model with an initially unexcited two-level atom is considered in the context of its ability to produce a sub-Poissonian field in interaction with an initially chaotic (thermal) cavity field.

Physical Review A•Jan 1, 1993•13 citations

The dynamical properties in the nonlinear Jaynes-Cummings model

YX Huang, Y Wang, Zhan Zhan

The properties of state evolution of the atom, field, and atom-field systems in the intensity-dependent coupling Jaynes-Cummings Model with an additional Kerr medium are investigated by using the distance between density operators. The effects of nonlinearity interaction of Kerr medium and the average photon number of initial coherent field on the dynamical behaviour of the quantum system are discussed in comparison with the one-photon Jaynes-Cummings model with an additional Kerr medium.

•Oct 1, 2002•0 citations

The formulation of the evolution operator for the multiphoton Jaynes-Cummings interaction in the decomposition form is presented, in terms of the SU(2) rotation transformation proposed by the present author [J. Mod. Opt. 39, 2209 (1992)]. The study of the dynamical evolution of the photon statistics for the case of intensity dependent coupling with m-photon atomic transition exhibits a number of novel features (sub-Poissonian and oscillatory distributions). It is shown that for m=1 the field distribution oscillates exactly in a periodic sequence without the limitation of the large mean photon number n-bar, and that for m=2 the oscillatory distributions emerge at one-quarter and three-quarters of the revival time for the initially high boson excitation regardless of the initial condition of the atomic state.

Photon statistics in some fully quantized models of the interaction of a two-level atom with a single-mode radiation field have been studied using the operator equations of motion. Expressions for the photon number distribution and the mean photon number are presented for various initial conditions. It is found that the mean photon number may show decays and revivals of coherence similar to those of the atomic inversion in the coherent-state Jaynes-Cummings model. Application of these models to the study of multiphoton laser, absorption, and emission processes is also discussed.

By means of simple mathematical methods, typical properties of the quantum dynamics in the Jaynes-Cummings model are discussed. The methods used allow a clear physical interpretation in the sense of an ensemble average and permit an investigation of the influence of the initial photon distribution width on collapse and revivals. Results obtained by a more sophisticated treatment provide corrections which are on the order 1/ square root N/sub 0/ for N/sub 0/>>1 where N/sub 0/ is the average photon number. The time evolution of the electric field strength and the photon distribution are also studied.>