Diffraction in time

Diffraction in time

Diffraction in time is a phenomenon associated with the quantum dynamics of suddenly released matter waves initially confined in a region of space. It was introduced in 1952 by Marcos Moshinsky with the shutter problem [1]: A matter-wave beam stopped by an absorbing shutter exhibits an oscillatory density profile during its propagation after removal of the shutter. Whenever the description of the propagation is accurately described by the time-dependent Schrödinger equation, the transient wave functions resemble the solutions that appear for the intensity of light in the Fresnel diffraction by a straight edge. For this reason, the transient phenomena was dubbed diffraction in time and ever since has been recognised as ubiquitous in quantum dynamics [2] [3]: The experimental confirmation of this phenomenon was only achieved about half a century later in the group of ultracold atoms directed by Jean Dalibard [4].


References

  1. ^ M. Moshinsky, Diffraction in time, Phys. Rev. 88, 625 (1952).
  2. ^ M. Kleber. Exact solutions for time-dependent phenomena in quantum mechanics, Phys. Rep. 236, 331-393 (1994),
  3. ^ A. del Campo, G. Garcia-Calderon, J. G. Muga, Quantum transients, Phys.Rep. 476, 1-50 (2009)
  4. ^ Pascal Szriftgiser, David Guéry-Odelin, Markus Arndt, and Jean Dalibard, Atomic Wave Diffraction and Interference Using Temporal Slits, Phys. Rev. Lett. 77, 4-7 (1996)

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