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Physical Review Letters

Resonant Tunneling of Ultracold Atoms through Vacuum Induced Potentials

G. S. Agarwal, R. Arun

Published May 29, 2000• 15 citations
Publisher

Abstract

We demonstrate resonant tunneling of ultracold atoms through potentials produced by the interaction of atoms with the vacuum field of a system of cavities. We show the close connection of the transmission characteristics to the resonant states in vacuum induced potentials. Transmission of cold atoms, though sharing some features with tunneling in finite semiconductor superlattices, is strongly dependent on the coherent addition of amplitudes from various wells and barriers.

DOI
10.1103/physrevlett.84.5098

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We demonstrate resonant tunneling of ultracold atoms through potentials produced by the interaction of atoms with the vacuum field of a system of cavities. We show the close connection of the transmission characteristics to the resonant states in vacuum induced potentials. Transmission of cold atoms, though sharing some features with tunneling in finite semiconductor superlattices, is strongly dependent on the coherent addition of amplitudes from various wells and barriers.
We examine the passage of ultracold two-level atoms through the potential produced by the vacuum of the cavity field. We find that the phase time may be considered as the appropriate measure of the time required for the atom to traverse the cavity. The phase tunneling time for ultracold atoms exhibits both super- and sub-classical time and we show how this behavior may be understood in terms of the momentum dependence of the phase of transmission amplitude. The passage of the atom through the cavity is unique, as it involves a coherent addition of the transition amplitudes corresponding to both barrier and well.
In this paper, we study the tunneling and traversal of ultracold two-level atoms through the potential induced by the vacuum cavity mode. In particular, we discuss the effects of off-resonant interaction between the cavity mode and atomic transition on tunneling time of the ultracold atoms through a high-QQQ mazer cavity. The phase time which may be considered as an appropriate measure of the time required for the atom to cross the cavity, exhibits some interesting features in the presence of off-resonant interaction. For example, switching between the sub and superclassical behaviors in phase time occurs for proper choice of detuning. Similarly, negative phase time appears for the transmission of atoms in both excited and ground states in the presence of off-resonant interaction.
Abstract We inspect the tunneling characteristics of ultraslow atoms through the coherent field of a high quality cavity. The potential offered by the cavity is due to multiple barriers and well constituents that dictate propagation of the atoms through the cavity. We examine tunneling time of the traversal corresponding to the maximal constructive/destructive interference by tuning parameters of the injected coherence. It is found that the sub- superclassical character of the tunneling time can be efficiently controlled through the phase of the injected atomic coherence. Further, mazer action (i.e. the scattering like aspect of the interaction) may be obtained for somewhat faster atoms by employing an intense cavity field. For one of the dressed state ( Φ b = b , 0 ), our system offers a free transmission as the incident atoms examine zero potential.
We study the tunneling and traversal of ultracold $\ensuremath{\Lambda}$-type three-level atoms through vacuum-induced potentials in a high-QQQ mazer cavity. In particular, we discuss the effects of driving-induced atomic coherence on the passage of ultracold atoms through a high-QQQ mazer cavity. We consider phase time to study quantum tunneling which exhibits interesting features due to atomic coherence. For example, negative phase time appears for transmission of the atoms in both excited and ground states due to the presence of atomic coherence. Further, for certain values of the driving field, it is found that the phase tunneling time shows an alternate subclassical and superclassical traversal behavior with the increase in atomic momentum.
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We examine the traversal aspect of ultracold two-level atoms through a high-quality two-photon mazer with squeezed vacuum and coherent field distributions. Here the net cavity potential is constituted by the coherent addition of multiple barriers and well potentials, which is quite different from the potential offered by a cavity in the Fock or vacuum state. For squeezed vacuum and coherent field distributions, one gets different phase times ( t p h ) for different modes of the distribution, which are then averaged by taking the weighted mean on the t p h over the n-dependent transmission probability. It is found that the nature, intensity of the field, and injected coherence of the incident atoms have a decisive role in controlling peak values and sub- and superclassical traversals of the tunneling atoms. For two of the system’s dressed states ( | Φ b 0 ⟩ , | Φ b 1 ⟩ ), the cavity offers reflectionless transmission, as the atoms experience zero potential due to the dark state formation. Moreover, for a somewhat intense cavity field, mazer action (scattering-type behavior) may be obtained for an extended range of energies due to increased cavity potential in the course of atom–cavity interaction.