Towards a quantum time mirror for non-relativistic wave packets

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

doi:10.1088/1367-2630/aaae98

Towards a quantum time mirror for non-relativistic wave packets

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

School of Mathematics & Physics

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Abstract

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 language	English
Article number	033013
Number of pages	9
Journal	New Journal of Physics
Volume	20
DOIs	https://doi.org/10.1088/1367-2630/aaae98
Publication status	Published - 26 Mar 2018

Keywords

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

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Reck_2018_New_J._Phys._20_033013Final published version, 1.19 MBLicence: CC BY

http://nrl.northumbria.ac.uk/33402/Licence: CC BY

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title = "Towards a quantum time mirror for non-relativistic wave packets",

abstract = "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 Schr{\"o}dinger 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.",

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AU - Reck, Phillipp

AU - Gorini, Cosimo

AU - Goussev, Arseni

AU - Krueckl, Viktor

AU - Fink, Mathias

AU - Richter, Klaus

PY - 2018/3/26

Y1 - 2018/3/26

N2 - 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.

AB - 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.

KW - matter waves

KW - nonlinear Schrdinger equation

KW - quantum scattering

KW - quantum time mirrors

KW - quantum wave packets

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VL - 20

JO - New Journal of Physics

JF - New Journal of Physics

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ER -

Towards a quantum time mirror for non-relativistic wave packets

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Keywords

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