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Journal of Xi'an University of Post and Telecommunications

An ultracold atom passing through three cavity fields

Sun Yu-hang

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

We consider the situation that an ultracold two-level atom passes through three spatially separated single-model cavity fields,among which the middle cavity originally contains photons,and investigate how the photon emission probabilities is influenced by the length of the cavity,the separation between two cavities and photons in the cavity on photon emission probabilities of the atom.We find that photon emission probabilities do not change periodically as a function of the cavity length as usual when the middle cavity originally contains photons.Moreover,the principal of photon emission has been changed because of photons in cavity,which transformes from spontaneous radiation to the coexistence of spontaneous radiation and stimulated radiation.

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Resonant tunneling and photon emission of an ultracold two-level atom passing through multi single-mode cavity fields

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We consider that an ultracold two-level atom passes through multi spatially separated single-mode cavity fields and investigate the influence of the center-of-mass motion of the atom, the length of the cavity and the separation between two cavities on the transmission and photon emission probabilities of the atom. We find that both the transmission and photon emission probabilities as functions of the cavity length have multi-resonance peaks when the separation between two cavities is equal to an integer multiple of half the de Broglie wavelength of the atomic center-of-mass motion. The present work shows that the wave function of the atomic center-of-mass motion may be modulated in a macroscopic level by arranging the cavities.

Acta Physica Sinica•Jan 1, 2006•1 citation

Photon emission of a two-level atom passing through double single-mode cavity fields

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Quantum theory of the micromaser with ultracold three-level atoms interacting with a bimodal cavity field: spatial variation along the cavity axis

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The analytical form of the emission probability produced by the interaction of an ultracold three-level atom with an electromagnetic bimodal cavity field with multi-photon transitions of the atoms (multi-photon mazer) is analysed in the framework of the dressed-state formalism, but is distinguished from other treatments by the inclusion of the spatial variation along the cavity axis. In particular, the cavity field mode profile is considered by using the mesa-mode function and differences in the collapse–revival patterns are reported. We demonstrate that, when propagation effects are taken into consideration, the emission probability is influenced significantly. We provide the necessary arguments to justify the validity of our conclusions for emission probability and the micromaser, whose dynamics are governed by the wavefunction. Our main conclusion is that, in the present system, the inclusion of the spatial dependence is necessary and important. The numerical illustrations provide evidence that, in cases of physical interest, the emission probability can be significant and can be reliably estimated for a broad range of field parameters using the present formalism.

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The interaction between an ultracold cascade three-level atom and a two-mode cavity field has been studied. The effects of the centre-of-mass motion, the cavity length, the coupling constants, the initial field states and the initial field intensity on the atomic dynamics have been examined. We have found that the population probabilities show dependence on the interaction time in the fast-atom region while they show dependence on the interaction length in the slow-atom region. The variations of the probabilities versus the cavity length show resonant peaks, and the peaks become sharper as the atom moves more slowly. The coupling constants, the initial field states and the initial field intensity also influence the atomic dynamics significantly. The two transitions are competitive for the atomic probability in the middle state, while they are cooperative for that in the lower state.

Journal of Optics B Quantum and Semiclassical Optics•Jan 14, 2002•6 citations
We consider the situation that an ultracold two-level atom passes through three spatially separated single-model cavity fields,among which the middle cavity originally contains photons,and investigate how the photon emission probabilities is influenced by the length of the cavity,the separation between two cavities and photons in the cavity on photon emission probabilities of the atom.We find that photon emission probabilities do not change periodically as a function of the cavity length as usual when the middle cavity originally contains photons.Moreover,the principal of photon emission has been changed because of photons in cavity,which transformes from spontaneous radiation to the coexistence of spontaneous radiation and stimulated radiation.
We consider that an ultracold two-level atom passes through multi spatially separated single-mode cavity fields and investigate the influence of the center-of-mass motion of the atom, the length of the cavity and the separation between two cavities on the transmission and photon emission probabilities of the atom. We find that both the transmission and photon emission probabilities as functions of the cavity length have multi-resonance peaks when the separation between two cavities is equal to an integer multiple of half the de Broglie wavelength of the atomic center-of-mass motion. The present work shows that the wave function of the atomic center-of-mass motion may be modulated in a macroscopic level by arranging the cavities.
A two-level atom passing through double spatially separated single-mode cavity fields is studied. We investigate the effecting factors of photon emission probabilities of the atom, which include the kinetic energy of the atom, the length of the cavity and the separation between the two cavities. The results show that in the case of ultra-cold atom, when the kinetic energy of the atom is small (k/k0k/k0>1), the length of the cavity has great effect on the photon emission probabilities. The present work shows that the photon emission probabilities may be modulated by controlling the center-of-mass motion of the atom.
Spontaneous emission competes with stimulated emission in many interactions of light with matter. In the usual analyses which describe the interaction of an atom with a coherent optical field, the spontaneous emission characteristics, e.g., probability and spectral distribution, are not determined. The spontaneous emission from an atom which interacts with a coherent light wave is considered. The competition between coherent photons and spontaneous photons is treated in detail for a system consisting of a stationary atom, an open cavity and spatial fields. In the model chosen, a multilevel atom which spontaneously decays by interacting with spatial fields has two nondegenerate states coupled by an interaction with a single mode of the cavity. The Laplace-transformed Schrodinger equation is solved for specified initial conditions of the system. It is found that the interaction with the coherent field modifies the spectral distribution of spontaneous radiation from the atom. For spontaneous transitions involving an atomic state which interacts with the coherent field, the spectral distributions can no longer be described by Lorentzian functions. The new distributions exhibit a broadening and splitting for strong interactions between the atom and the coherent field. It is shown that the qualitative features of these distributions can be predicted from the energy-level diagram of the atom-cavity system. The net probability of the system gaining a coherent or cavity photon is calculated by integrating over the emitted spontaneous frequencies. The equivalence of this approach to the method of computing probabilities by integrating over time is demonstrated by using Parseval's theorem.
The analytical form of the emission probability produced by the interaction of an ultracold three-level atom with an electromagnetic bimodal cavity field with multi-photon transitions of the atoms (multi-photon mazer) is analysed in the framework of the dressed-state formalism, but is distinguished from other treatments by the inclusion of the spatial variation along the cavity axis. In particular, the cavity field mode profile is considered by using the mesa-mode function and differences in the collapse–revival patterns are reported. We demonstrate that, when propagation effects are taken into consideration, the emission probability is influenced significantly. We provide the necessary arguments to justify the validity of our conclusions for emission probability and the micromaser, whose dynamics are governed by the wavefunction. Our main conclusion is that, in the present system, the inclusion of the spatial dependence is necessary and important. The numerical illustrations provide evidence that, in cases of physical interest, the emission probability can be significant and can be reliably estimated for a broad range of field parameters using the present formalism.
An two-level atom is considered passes through double spatially separated single-mode cavity fields and the influence of the center-of-mass motion of the atom is investigated,the length of the cavity and the separation between two cavities on entanglement between the cavity fields because of interaction between the atom and the cavity fields.It is found that in the case of ultra-cold atom,when k / k0 1,the probility that the atom passes through double cavity fields is small,and the entanglement is generated is small too.And when k / k0 1,the result is contraty.
The interaction between an ultracold cascade three-level atom and a two-mode cavity field has been studied. The effects of the centre-of-mass motion, the cavity length, the coupling constants, the initial field states and the initial field intensity on the atomic dynamics have been examined. We have found that the population probabilities show dependence on the interaction time in the fast-atom region while they show dependence on the interaction length in the slow-atom region. The variations of the probabilities versus the cavity length show resonant peaks, and the peaks become sharper as the atom moves more slowly. The coupling constants, the initial field states and the initial field intensity also influence the atomic dynamics significantly. The two transitions are competitive for the atomic probability in the middle state, while they are cooperative for that in the lower state.