%0 Journal Article %1 reck2018towards %A Reck, Phillipp %A Gorini, Cosimo %A Goussev, Arseni %A Krueckl, Viktor %A Fink, Mathias %A Richter, Klaus %D 2018 %K mbl %T Towards a quantum time mirror for nonrelativistic wave packets %U http://arxiv.org/abs/1801.01818 %X We propose a method -- a quantum time mirror (QTM) -- for simulating a partial time-reversal of the free-space motion of a nonrelativistic 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.

@article{reck2018towards, abstract = {We propose a method -- a quantum time mirror (QTM) -- for simulating a partial time-reversal of the free-space motion of a nonrelativistic 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 Schr\"odinger 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.}, added-at = {2018-01-08T12:00:22.000+0100}, author = {Reck, Phillipp and Gorini, Cosimo and Goussev, Arseni and Krueckl, Viktor and Fink, Mathias and Richter, Klaus}, biburl = {https://www.bibsonomy.org/bibtex/2653020c9ae4b41903856c6442124a0f3/walter_hahn}, description = {[1801.01818] Towards a quantum time mirror for nonrelativistic wave packets}, interhash = {358d1309206b561495e9dfbce58ab686}, intrahash = {653020c9ae4b41903856c6442124a0f3}, keywords = {mbl}, note = {cite arxiv:1801.01818Comment: 10 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1603.07503}, timestamp = {2018-01-08T12:00:22.000+0100}, title = {Towards a quantum time mirror for nonrelativistic wave packets}, url = {http://arxiv.org/abs/1801.01818}, year = 2018 }