Volume 77, Number 4, February 2007
|Number of page(s)||5|
|Published online||08 February 2007|
Towards a time reversal mirror for quantum systems
Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba - 5000 Córdoba, Argentina
2 CEA/DRFMC/SPSMS/GT and CEA Léti-MINATEC - 17 avenue des Martyrs, 38054 Grenoble, France
Corresponding author: firstname.lastname@example.org
Accepted: 13 December 2006
The reversion of the time evolution of a quantum state can be achieved by changing the sign of the Hamiltonian as in the Loschmidt echo and polarization echo experiment in NMR. In this work we describe an alternative mechanism inspired by the acoustic time reversal mirror. By solving the inverse time problem in a discrete space we develop a new procedure, the perfect inverse filter. It achieves the exact time reversion in a given region by reinjecting a prescribed wave function at the region's boundary.
PACS: 03.65.Wj – State reconstruction, quantum tomography / 03.67.-a – Quantum information / 43.20.+g – General linear acoustics
© Europhysics Letters Association, 2007
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