A Wigner Function Approach to Coherence in a Talbot-Lau Interferometer
Space Dynamics Laboratory, Utah State University Research Foundation, North Logan, UT 84341, USA
Kirtland Air Force Base, Albuquerque, NM 87117, USA
U.S. Air Force Research Laboratory, Kirtland Air Force Base, Albuquerque, NM 87117, USA
Author to whom correspondence should be addressed.
Academic Editors: A. Kumarakrishnan and Dallin S. Durfee
Received: 3 May 2016 / Revised: 8 June 2016 / Accepted: 16 June 2016 / Published: 22 June 2016
Using a thermal gas, we model the signal of a trapped interferometer. This interferometer uses two short laser pulses, separated by time T
, which act as a phase grating for the matter waves. Near time
, there is an echo in the cloud’s density due to the Talbot-Lau effect. Our model uses the Wigner function approach and includes a weak residual harmonic trap. The analysis shows that the residual potential limits the interferometer’s visibility, shifts the echo time of the interferometer, and alters its time dependence. Loss of visibility can be mitigated by optimizing the initial trap frequency just before the interferometer cycle begins.
This is an open access article distributed under the Creative Commons Attribution License
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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MDPI and ACS Style
Imhof, E.; Stickney, J.; Squires, M. A Wigner Function Approach to Coherence in a Talbot-Lau Interferometer. Atoms 2016, 4, 18.
Imhof E, Stickney J, Squires M. A Wigner Function Approach to Coherence in a Talbot-Lau Interferometer. Atoms. 2016; 4(2):18.
Imhof, Eric; Stickney, James; Squires, Matthew. 2016. "A Wigner Function Approach to Coherence in a Talbot-Lau Interferometer." Atoms 4, no. 2: 18.
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