aqora

Simple algebraic method to solve a coupled-channel cavity QED model

Ying Wu

In this paper, we present a simple purely algebraic method to solve a coupled-channel cavity QED model with three nondegenerate quantized field modes proposed by Wang, Puri, and Eberly [Phys. Rev. A 46, 7192 (1992)]. By transforming it into one describing a spin-1/2 particle in a magnetic field and utilizing the relations between field variables and an orbital angular momentum, we can easily obtain energy eigenvalues without the need to know concrete expressions for eigenstates in terms of the usual Fock states, and analytical expressions of evolution and atomic inversion operators. The eigenstates of energy and orbital angular momentum are also explicitly expressed in terms of Fock states. \textcopyright{} 1996 The American Physical Society.In this paper, we present a simple purely algebraic method to solve a coupled-channel cavity QED model with three nondegenerate quantized field modes proposed by Wang, Puri, and Eberly [Phys. Rev. A 46, 7192 (1992)]. By transforming it into one describing a spin-1/2 particle in a magnetic field and utilizing the relations between field variables and an orbital angular momentum, we can easily obtain energy eigenvalues without the need to know concrete expressions for eigenstates in terms of the usual Fock states, and analytical expressions of evolution and atomic inversion operators. The eigenstates of energy and orbital angular momentum are also explicitly expressed in terms of Fock states. \textcopyright{} 1996 The American Physical Society.

Physical Review ANov 1, 1996117 citations

Exact Solutions for Two-Channel Cavity QED Model by Unitary Transformation Method

Sudha Singh

International Journal of Theoretical PhysicsMay 16, 20111 citation

A unified algebraic dynamical solution to general two-photon algebrasystems

Ying, ZJWang

We use squeezing and displacement operators and apply algebraic We use squeezing and displacement operators and apply algebraic

Jan 1, 19990 citations

Exact solution of a two-channel cavity QED model using coupled angular momenta

Liwei Wang, Joseph H. Eberly

We study a cavity QED model where a single three-level atom interacts with four quantized cavity fields in a Raman-type interaction, forming two transition channels for the atom. We show that this system is equivalent to the coupling of three angular momenta, and give its exact eigenenergies and eigenvectors in terms of Clebsch-Gordan coefficients, even if the ac Stark shift is included. Some Heisenberg operators are solved exactly as well as approximately. Dynamical evolution of average photon numbers and the atomic inversion are discussed for several initial conditions and a simple example of model interference is examined.We study a cavity QED model where a single three-level atom interacts with four quantized cavity fields in a Raman-type interaction, forming two transition channels for the atom. We show that this system is equivalent to the coupling of three angular momenta, and give its exact eigenenergies and eigenvectors in terms of Clebsch-Gordan coefficients, even if the ac Stark shift is included. Some Heisenberg operators are solved exactly as well as approximately. Dynamical evolution of average photon numbers and the atomic inversion are discussed for several initial conditions and a simple example of model interference is examined.

Physical Review AMay 1, 199316 citations

Triple coupling and parameter resonance in quantum optomechanics with a single atom

Yue Chang, Hou Ian, C. P. Sun

We study the energy level structure and quantum dynamics for a cavity optomechanical system assisted by a single atom. It is found that a triple coupling involving a photon, a phonon and an atom cannot be described only by the quasi-orbital angular momentum at frequency resonance, there also exists the phenomenon of parameter resonance, namely, when the system parameters are matched in some way, the evolution of the end mirror of the cavity is conditioned by the dressed states of the photon–atom subsystem. The quantum decoherence due to this conditional dynamics is studied in detail. In the quasi-classical limit of very large angular momentum, this system will behave like a standard cavity-QED system described by the Jaynes–Cummings (J–C) model when the angular momentum operators are transformed to bosonic operators of a single mode. We test this observation with an experimentally accessible parameter.We study the energy level structure and quantum dynamics for a cavity optomechanical system assisted by a single atom. It is found that a triple coupling involving a photon, a phonon and an atom cannot be described only by the quasi-orbital angular momentum at frequency resonance, there also exists the phenomenon of parameter resonance, namely, when the system parameters are matched in some way, the evolution of the end mirror of the cavity is conditioned by the dressed states of the photon–atom subsystem. The quantum decoherence due to this conditional dynamics is studied in detail. In the quasi-classical limit of very large angular momentum, this system will behave like a standard cavity-QED system described by the Jaynes–Cummings (J–C) model when the angular momentum operators are transformed to bosonic operators of a single mode. We test this observation with an experimentally accessible parameter.

arXiv:0810.4206Journal of Physics B Atomic Molecular and Optical PhysicsOct 14, 200923 citations

New Approach for Solving Master Equations of Density Operators for the Raman-Coupled Model with Cavity Damping

Ye‐Jun Xu, Hong‐Chun Yuan, Jun Song +1 more

International Journal of Theoretical PhysicsJun 16, 20104 citations

Algebraic method for solving a class of coupled-channel cavity QED models

Abstract

Related papers

Algebraic method for solving a class of coupled-channel cavity QED models

Abstract

Related papers