Phase delay time and superluminal propagation in barrier tunneling

2004/11/22 by Swarnali Bandopadhyay, Bandopadhyay, Swarnali, A. M. Jayannavar +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum and electron transport phenomena #Quantum optics and atomic interactions #cond-mat.mes-hall #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0411161

5 pages, 5 figures

arxiv created 2004/11/22 · arxiv updated 2009/12/01

Abstract

In this work we study the behaviour of Wigner phase delay time for tunneling in the reflection mode. Our system consists of a circular loop connected to a single wire of semi-infinite length in the presence of Aharonov-Bohm flux. We calculate the analytical expression for the saturated delay time. This saturated delay time is independent of Aharonov- Bohm flux and the width of the opaque barrier thereby generalizing the Hartman effect. This effect implies superluminal group velocities as a consequence. We also briefly discuss the concept called "space collapse or space destroyer".

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