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.
Highlights
The question of how to invert the time evolution of a wave, classical or quantum, in an efficient and controllable way has both fundamental and practical importance
We further investigate the dynamics of a 2D wave packet, initially given by
We have proposed a protocol for simulating the time-reversed motion of a localized matter-wave packet evolving in free space
Summary
Free-space motion of a non-relativistic quantum wave packet. The method is based on a short-time. Any further distribution of spatially homogeneous perturbation to the wave packet dynamics, achieved by adding a nonlinear this work must maintain attribution to the time-dependent term to the underlying Schrödinger equation. Numerical calculations, supporting author(s) and the title of the work, journal citation our analytical considerations, demonstrate the effectiveness of the proposed QTM for generating a and DOI. Time-reversed echo image of initially localized matter-wave packets in one and two spatial dimensions. We discuss possible experimental realizations of the proposed QTM
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