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Chinese Physics Letters

Transmission Probability of an Ultracold Atom in the Presence of Atomic Coherence

Jin Xiong, Chu Kai-Qin, Zhi‐Ming Zhang

Published Feb 22, 2002• 29 citations
Publisher

Abstract

We investigate the transmission probability of an ultracold V-type three-level atom passing through a micromaser cavity, in the presence of atomic coherence which is established by a coherent driving field. We show that the transmissibility of this micromaser system with the atomic coherence is better than that of the ordinary micromaser system without atomic coherence. When the driving field is strong enough, for any cavity length the ultracold atom can pass through the micromaser cavity freely.

DOI
10.1088/0256-307x/19/3/314

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We investigate the transmission probability of an ultracold V-type three-level atom passing through a micromaser cavity, in the presence of atomic coherence which is established by a coherent driving field. We show that the transmissibility of this micromaser system with the atomic coherence is better than that of the ordinary micromaser system without atomic coherence. When the driving field is strong enough, for any cavity length the ultracold atom can pass through the micromaser cavity freely.
Abstract We study the tunneling time of ultracold V-type atoms interacting a high quality microwave cavity. Here atomic coherence is introduced in the system by a strong driving field which couples the two lower states of the three-level atom. It is found that in the presence of coherence, mazer action or the scattering like nature of the interaction may be examined for extended energies of the incident cold atoms. Our results show that position and amplitudes of the peak values of the phase time (traversal time) may be very effectively controlled by the coherent driving field. Further, here we obtained superclassical values of the phase time corresponding to much higher values of the transmission amplitudes of the tunneling atoms which may be advantageous in the possible experimental realization of the superclassical tunneling time of the traversing cold atoms. In addition, we examine a mirror reflection type symmetry in the phase time curve for a judicious choice of the external driving field .
The velocity selection of the V-type three-level-atom mazer with atomic coherence is studied. It is shown that the atomic coherence can strongly affect transmission probability, and in turn, the velocity selection of atoms through the micromaser cavity. When the incident atoms are initially prepared in the lower state of the two upper ones (i.e., no injected atomic coherence), velocity selectivity is at a maximum. This shows that atomic coherence does not have a favourable effect on velocity selectivity in this scheme. The effects of other parameters are also studied.
In high quality micromaser cavities, we investigate the tunnelling and traversal of ultra-cold A-type three-level atoms. We specifically discuss how a coherent driving field affects the tunnelling atoms' traversal behaviour. Phase time, which is shown to be a suitable measure of atoms' transit time through a cavity, is affected by driving induced atomic coherence. For example, atomic coherence leads to negative phase times for atomic transmission on both the excited and ground levels. The phase tunnelling time also exhibits alternate subclassical and superclassical traversal tendencies depending on the driving field value as atomic momentum increases.
The idea of a mazer is put forward with particular reference to the question of the driving-induced atomic coherence, which is established by a coherent driving field. The interaction of a quantum cavity field and an ultracold V-type three-level atom in which two levels are coupled by a coherent driving field, is derived. Its general quantum theory is established and the atomic emission probability and photon statistics are calculated and analysed. It is found that the mazer based on this driving-induced atomic coherence shows new features. There is a non-vanishing probability for the atom emitting a photon in the cavity even when the resonance condition is not fulfilled (here the resonance condition means that the cavity length is an integer multiple of half the atomic de Broglie wavelength). Under the resonance condition, the atomic emission probability has two sets of resonance peaks. For a very strong coherent driving field, the emission of the atom can be forbidden. As to the photon statistics, when the driving field is not very strong, the driving-induced atomic coherence reduces the photon number fluctuations of the cavity field. The photon statistics exhibits strong sub-Poissonian behaviour. In the region considered here, it can even be sub-Poissonian for any cavity length. However, when the driving field is too strong, the sub-Poissonian property may disappear.