Towards a quantum time mirror for non-relativistic wave packets

Phillipp Reck, Cosimo Gorini, Arseni Goussev, Viktor Krueckl, Mathias Fink, Klaus Richter

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We propose a method - a quantum time mirror (QTM) - for simulating a partial time-reversal of the free-space motion of a non-relativistic quantum wave packet. The method is based on a short-time spatially homogeneous perturbation to the wave packet dynamics, achieved by adding a nonlinear time-dependent term to the underlying Schrödinger equation. Numerical calculations, supporting our analytical considerations, demonstrate the effectiveness of the proposed QTM for generating a time-reversed echo image of initially localized matter-wave packets in one and two spatial dimensions. We also discuss possible experimental realizations of the proposed QTM.

Original languageEnglish
Article number033013
Number of pages9
JournalNew Journal of Physics
Publication statusPublished - 26 Mar 2018


  • matter waves
  • nonlinear Schrdinger equation
  • quantum scattering
  • quantum time mirrors
  • quantum wave packets


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