Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

Temporal, Matter-Wave Dispersion Talbot Effect



Lu Deng, Edward W. Hagley, J Denschlag, J E. Simsarian, M Edwards, Charles W. Clark, Kristian Helmerson, S L. Rolston, William D. Phillips


We analyze and experimentally demonstrate a new (temporal) Talbot effect, where a pulsed phase grating is applied to a cloud of cold atoms (Bose-Einstein condensate). In contrast to the usual (spatial) Talbot effect, our atoms gain kinetic energy when diffracted by the pulsed grating. The energy gain and the matter-wave-dispersion relation result in an exact (no paraxial approximation) Talbot effect where the initial wave front is reconstructed at multiples of a “Talbot time” TT. We demonstrate the Talbot effect by applying a second pulsed phase grating after a variable delay. When this second grating is applied at even (odd) multiples of TT2, it doubles (cancels) the effect of the first pulsed grating.
Physical Review Letters
No. 26


matter wave dispersion, Talbot effect


Deng, L. , Hagley, E. , Denschlag, J. , Simsarian, J. , Edwards, M. , Clark, C. , Helmerson, K. , Rolston, S. and Phillips, W. (1999), Temporal, Matter-Wave Dispersion Talbot Effect, Physical Review Letters (Accessed April 13, 2024)
Created December 1, 1999, Updated October 22, 2018