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 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

↑ Moshinsky, M. (1952). "Diffraction in time". Physical Review 88 (3): 625–631. doi:10.1103/PhysRev.88.625. Bibcode: 1952PhRv...88..625M.
↑ Kleber, M. (1994). "Exact solutions for time-dependent phenomena in quantum mechanics". Physics Reports 236 (6): 331–393. doi:10.1016/0370-1573(94)90029-9. Bibcode: 1994PhR...236..331K.
↑ del Campo, A.; García-Calderón, G.; Muga, J. G. (2009). "Quantum transients". Physics Reports 476 (1–3): 1–50. doi:10.1016/j.physrep.2009.03.002. Bibcode: 2009PhR...476....1D.
↑ 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. doi:10.1103/PhysRevLett.77.4. PMID 10061757. Bibcode: 1996PhRvL..77....4S.

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[moshinsky-1] Moshinsky, M. (1952). "Diffraction in time". Physical Review 88 (3): 625–631. doi:10.1103/PhysRev.88.625. Bibcode: 1952PhRv...88..625M.

[kleber-2] Kleber, M. (1994). "Exact solutions for time-dependent phenomena in quantum mechanics". Physics Reports 236 (6): 331–393. doi:10.1016/0370-1573(94)90029-9. Bibcode: 1994PhR...236..331K.

[delcampo-3] Campo, A.; García-Calderón, G.; Muga, J. G. (2009). "Quantum transients". Physics Reports 476 (1–3): 1–50. doi:10.1016/j.physrep.2009.03.002. Bibcode: 2009PhR...476....1D.

[dalibard-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. doi:10.1103/PhysRevLett.77.4. PMID 10061757. Bibcode: 1996PhRvL..77....4S.