Phase time for a tunneling particle

Jayannavar, A. M. ; Bandopadhyay, Swarnali (2007) Phase time for a tunneling particle International Journal of Modern Physics B, 21 (10). pp. 1681-1704. ISSN 0217-9792

PDF - Publisher Version

Official URL:

Related URL:


We study the nature of tunneling phase time for various quantum mechanical structures such as networks and rings having potential barriers in their arms. We find the generic presence of the Hartman effect, with superluminal velocities as a consequence, in these systems. In quantum networks, it is possible to control the "super arrival" time in one of the arms by changing the parameters on another arm which is spatially separated from it. This is yet another quantum nonlocal effect. Negative time delays (time advancement) and "ultra Hartman effect" with negative saturation times have been observed in some parameter regimes. In the presence and absence of Aharonov-Bohm (AB) flux, quantum rings show the Hartman effect. We obtain the analytical expression for the saturated phase time. In the opaque barrier regime, this is independent of even the AB flux thereby generalizing the Hartman effect. We also briefly discuss the concept of "space collapse or space destroyer" by introducing a free space in between two barriers covering the ring. Further, we show in presence of absorption that the reflection phase time exhibits the Hartman effect in contrast to the transmission phase time.

Item Type:Article
Source:Copyright of this article belongs to World Scientific Publishing Co Pte Ltd.
Keywords:Tunneling; Electronic Transport
ID Code:14868
Deposited On:12 Nov 2010 13:26
Last Modified:16 May 2016 23:50

Repository Staff Only: item control page