(Poster) Time-reversal of external and internal sources based on the perfect inverse filter: towards the design of a quantum bazooka

HERNAN L. CALVO; HORACIO M. PASTAWSKI

Buenos Aires

Otro; Ninth Giambiagi Winter School, part A: Physics and the Computers of the Future; 2007

UBA - Fac. de Cs. Exactas y Naturales - Dpto. de Fisica

Time reversion of acoustic waves were developed by M. Fink´s group with novel and intriguing results on a Time Reversal Mirror (TRM). Although not perfect, this procedure has proved being very robust in complex media. This is a form of a more general concept valid even in quantum mechanics, which we called Stubborn Loschmidt daemon. It consists in the persistent injection of a wave function amplitude at some transducers at the periphery of a system in a way that they have specific interferences that are able to achieve a backwards evolution, i.e. the reversal of the dynamics of an initial wave packet. The TRM recipe prescribes the injection of an amplitude equivalent to that detected during the forward evolution. Recently, we have developed the Perfect Inverse Filter, where the injected function is modified in a way that ensures the perfect time reversal of classical and quantum dynamics. Such procedure uses our information on the response of the system to accounts for the memory effects of the system. In this way, one can inject small amounts of excitation (wave function) for a long time to obtain as output a burst concentrated in space and time: the "Quantum Bazooka".