270 research outputs found
The conditional tunneling time for reflection using the WKB wave-function
We derive an expression for the conditional time for the reflection of a wave
from an arbitrary potential barrier using the WKB wavefunction in the barrier
region. Our result indicates that the conditional times for transmission and
reflection are equal for a symmetric barrier within the validity of the WKB
approach.Comment: 4 pages RevTeX, 1 eps figure include
Time for pulse traversal through slabs of dispersive and negative (, ) materials
The traversal times for an electromagnetic pulse traversing a slab of
dispersive and dissipative material with negative dielectric permittivity
() and magnetic permeability () have been calculated by using
the average flow of electromagnetic energy in the medium. The effects of
bandwidth of the pulse and dissipation in the medium have been investigated.
While both large bandwidth and large dissipation have similar effects in
smoothening out the resonant features that appear due to Fabry-P\'{e}rot
resonances, large dissipation can result in very small or even negative
traversal times near the resonant frequencies. We have also investigated the
traversal times and Wigner delay times for obliquely incident pulses and
evanescent pulses. The coupling to slab plasmon polariton modes in frequency
ranges with negative or is shown to result in large traversal
times at the resonant conditions. We also find that the group velocity mainly
contributes to the delay times for pulse propagating across a slab with n=-1.
We have checked that the traversal times are positive and subluminal for pulses
with sufficiently large bandwidths.Comment: 9 pages, 9 figures, Submitted to Phys. Rev.
Correcting the quantum clock: conditional sojourn times
Can the quantum-mechanical sojourn time be clocked without the clock
affecting the sojourn time? Here we re-examine the previously proposed
non-unitary clock, involving absorption/amplification by an added infinitesimal
imaginary potential(), and find it {\it not} to preserve, in general,
the positivity of the sojourn time, conditional on eventual reflection or
transmission. The sojourn time is found to be affected by the scattering
concomitant with the mismatch, however small, due to the very clock
potential() introduced for the purpose, as also by any prompt
scattering involving partial waves that have not traversed the region of
interest. We propose a formal procedure whereby the sojourn time so clocked can
be corrected for these spurious scattering effects. The resulting conditional
sojourn times are then positive definite for an arbitrary potential, and have
the proper high- and low-energy limits.Comment: Corrected and rewritten, RevTeX, 4 pages, 2 figures (ps files)
include
Wave attenuation model for dephasing and measurement of conditional times
Inelastic scattering induces dephasing in mesoscopic systems. An analysis of
previous models to simulate inelastic scattering in such systems is presented
and also a relatively new model based on wave attenuation is introduced. The
problem of Aharonov-Bohm(AB) oscillations in conductance of a mesoscopic ring
is studied. We have shown that conductance is symmetric under flux reversal and
visibility of AB oscillations decay to zero as function of the incoherence
parameter, signalling dephasing. Further wave attenuation is applied to a
fundamental problem in quantum mechanics, i.e., the
conditional(reflection/transmission) times spent in a given region of space by
a quantum particle before scattering off from that region.Comment: 8 pages, 6 figures. Based on presentations by A. M. J and C. B at the
2nd Winter Institute on Foundations of Quantum theory, Quantum Optics and QIP
held at S N Bose National Centre for Basic Sciences, Kolkata, India, from
January 2-11, 200
Imaginary Potential as a Counter of Delay Time for Wave Reflection from a 1D Random Potential
We show that the delay time distribution for wave reflection from a
one-dimensional random potential is related directly to that of the reflection
coefficient, derived with an arbitrarily small but uniform imaginary part added
to the random potential. Physically, the reflection coefficient, being
exponential in the time dwelt in the presence of the imaginary part, provides a
natural counter for it. The delay time distribution then follows
straightforwardly from our earlier results for the reflection coefficient, and
coincides with the distribution obtained recently by Texier and Comtet
[C.Texier and A. Comtet, Phys.Rev.Lett. {\bf 82}, 4220 (1999)],with all moments
infinite. Delay time distribution for a random amplifying medium is then
derived . In this case, however, all moments work out to be finite.Comment: 4 pages, RevTeX, replaced with added proof, figure and references. To
appear in Phys. Rev. B Jan01 200
Statistical properties of phases and delay times of the one-dimensional Anderson model with one open channel
We study the distribution of phases and of Wigner delay times for a
one-dimensional Anderson model with one open channel. Our approach, based on
classical Hamiltonian maps, allows us an analytical treatment. We find that the
distribution of phases depends drastically on the parameter where is the variance of the disorder distribution and
the wavevector. It undergoes a transition from uniformity to singular
behaviour as increases. The distribution of delay times shows
universal power law tails , while the short time behaviour is
- dependent.Comment: 4 pages, 2 figures, Submitted to PR
- …