Diffraction in time

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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 this propagation is accurately described by the time-dependent Schrödinger equation, the transient wave functions resemble the solutions that appear for the intensity of light subject to Fresnel diffraction by a straight edge. For this reason, the transient phenomenon was dubbed diffraction in time and has since then 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. ^ Moshinsky, M. (1952). "Diffraction in time". Physical Review. 88 (3): 625–631. .
  2. ^ Kleber, M. (1994). "Exact solutions for time-dependent phenomena in quantum mechanics". Physics Reports. 236 (6): 331–393. .
  3. ^ del Campo, A.; García-Calderón, G.; Muga, J. G. (2009). "Quantum transients". Physics Reports. 476 (1–3): 1–50.
    S2CID 14760900
    .
  4. ^ Szriftgiser, A.; Guéry-Odelin, D.; Arndt, M.; Dalibard, J. (1996). "Atomic Wave Diffraction and Interference Using Temporal Slits". Physical Review Letters. 77 (1): 4–7.
    PMID 10061757
    .