On the tunneling time of ultracold atoms through a system of two mazer cavities

Fazal Badshah,Guo-Qin Ge,Muhammad Irfan,Shahid Qamar,Sajid Qamar

doi:10.1038/s41598-018-19468-x

Abstract

We study the resonant tunneling of ultraslow atoms through a system of high quality microwave cavities. We find that the phase tunneling time across the two coupled cavities exhibits more frequent resonances as compared to the single cavity interaction. The increased resonances are instrumental in the display of an alternate sub and superclassical character of the tunneling time along the momentum axis with increasing energies of the incident slow atoms. Here, the intercavity separation appears as an additional controlling parameter of the system that provides an efficient control of the superclassical behavior of the phase tunneling time. Further, we find that the phase time characteristics through two cavity system has the combined features of the tunneling through a double barrier and a double well arrangements.

Highlights

The most basic system in quantum optics is essentially a two-level atom interacting with a single mode quantized field as realized in a high quality micromaser cavity
In order to analyze various properties of the tunneling time of ultraslow atoms, we mainly focussed on the transmission part of the scattering by evaluating transmission amplitude of the interacting atoms
We find that phase time of tunneling for the ultraslow atoms is remarkably modified with the length of each cavity and their relative separation

Summary

Phase time for the resonant tunneling of ultracold atoms

In the preceding section we have shown that the transmission amplitude for ultracold atoms interacting with an arrangement of two high quality microwave cavities may be written using various parameters of a single cavity. This result corresponds to the case when the incident atoms transmit in the excited state e,0,0 without releasing any photon in either of the two cavities. It can be noted that for the given parameters, behavior of the phase time for a single cavity is somehow similar to the double well potential as both are superclassical only with positive and negative values. The solid blue (small dashed red) curve in Fig. 6(a) represents P after transmission through double cavities with separation length k0L = 10 (20), mean wave number k/k0 = 0.299, and width of the packet σ/k0 = 0.01 (all curves normalized to unity). The probability density in case of double cavities is much smaller a single cavity

Conclusions

Additional Information