Two-photon emission spectrum of a two-level atom in an ideal cavity

Abstract

The time-dependent two-photon emission spectra of a two-level atom interacting with a single-mode radiation field in an ideal cavity have been studied. The expressions of the system operators as a function of time have been derived based on the two-photon Jaynes-Cummings model and Heisenberg equation. As a result, the theoretical curves of the time-dependent two-photon emission spectra have been given. The features of two-photon emission spectra depend not only on the photon statistical distribution of the initial field, such as the thermal field, the squeezed vacuum field, and the coherent field, but also on the passband width of the filter detector I . The two-photon emission spectra exhibit multipeaked structures when I & A. (two-photon coupling constant).PACS number(s): 42.50.p, 32.90.+a, 32.50.+d

Exact Solutions for Jaynes-Cummings Models with Non-degenerate Two-Photon Transitions in the Ladder Configuration

“…It is explicit that the atomic inversion for the field initially in a number state |n 1 , n 2 is strictly periodic and different number states have different Rabi flopping frequency. From (12) it is seen that the transition probability |b n 1 +1,n 2 +1 (t)| 2 is finite when both n 1 = 0 and n 2 = 0. The generated fields in such a case are very much weaker since they are created by spontaneous emission.…”

“…The occurrence of the transformed state |a, n 1 , n 2 corresponds to no interaction whereas the occurrence of the state |b, n 1 + 1, n 2 + 1 admit of interaction in which one photon of mode ω 1 is emitted along with another photon of mode ω 2 , resulting in two-mode process. It is easy to see from (12) that the transition probability and hence the energy emitted depends upon √ (n 1 + 1)(n 2 + 1) in place of √ (n + 1) in J-C model [13] and √ (n + 1)(n + 2) in the two photon single mode J-C model [12,21].…”

Fluorescence and absorption spectra for a multi-photon Jaynes–Cummings in the presence of nonlinearities and stark shift

“…In fact, the interaction between a two-level atom and the radiation field is a quantum optical problem that lies at the heart of many problems in laser physics and quantum optics [2][3][4]. Much of theoretical work on the atomic emission spectra is based on the two-photon JCM [5][6][7][8][9][10], Nasreen and Razmi [8] studied the emission spectrum of the atom and the cavity field spectrum, with concentration on the effects of the Stark shift on the spectrum. Ashraf [10] studied the cavity field spectra for various initial fields of the non-degenerate two-photon JCM and showed that a two-peak structure appears for initial coherent and thermal fields.…”

High-rate entanglement source via two-photon emission from semiconductor quantum wells

“…Cavity-controlled two-photon emission rate from a QW is calculated by a second order process in the time-dependent perturbation theory, similar to that of two-photon transition in a single atom [13]. The general expression for the rate is:…”