164 research outputs found
On the conservation of spin currents in spin-orbit coupled systems
Applying the Gordon-decomposition-like technique, the convective spin current
(CSC) is extracted from the total angular-momentum current. The CSC describes
the transport properties of the electron spin and is conserved in the
relativistic quantum mechanics approach where the spin-orbit coupling has been
intrinsically taken into account. Arrestingly, in the presence of external
electromagnetic field, the component of the convective spin along the field
remain still conserved. This conserved CSC is also derived for the first time
in the nonrelativistic limit using the Foldy-Wouthuysen transformation.Comment: 5 pages, RevTeX
Critical sound attenuation in a diluted Ising system
The field-theoretic description of dynamical critical effects of the
influence of disorder on acoustic anomalies near the temperature of the
second-order phase transition is considered for three-dimensional Ising-like
systems. Calculations of the sound attenuation in pure and dilute Ising-like
systems near the critical point are presented. The dynamical scaling function
for the critical attenuation coefficient is calculated. The influence of
quenched disorder on the asymptotic behaviour of the critical ultrasonic
anomalies is discussed.Comment: 12 RevTeX pages, 4 figure
Non-Markovian dynamics for bipartite systems
We analyze the appearance of non-Markovian effects in the dynamics of a
bipartite system coupled to a reservoir, which can be described within a class
of non-Markovian equations given by a generalized Lindblad structure. A novel
master equation, which we term quantum Bloch-Boltzmann equation, is derived,
describing both motional and internal states of a test particle in a quantum
framework. When due to the preparation of the system or to decoherence effects
one of the two degrees of freedom is amenable to a classical treatment and not
resolved in the final measurement, though relevant for the interaction with the
reservoir, non-Markovian behaviors such as stretched exponential or power law
decay of coherences can be put into evidence.Comment: published version, 15 pages, revtex, no figure
Dynamics and Lax-Phillips scattering for generalized Lamb models
This paper treats the dynamics and scattering of a model of coupled
oscillating systems, a finite dimensional one and a wave field on the half
line. The coupling is realized producing the family of selfadjoint extensions
of the suitably restricted self-adjoint operator describing the uncoupled
dynamics. The spectral theory of the family is studied and the associated
quadratic forms constructed. The dynamics turns out to be Hamiltonian and the
Hamiltonian is described, including the case in which the finite dimensional
systems comprises nonlinear oscillators; in this case the dynamics is shown to
exist as well. In the linear case the system is equivalent, on a dense
subspace, to a wave equation on the half line with higher order boundary
conditions, described by a differential polynomial explicitely
related to the model parameters. In terms of such structure the Lax-Phillips
scattering of the system is studied. In particular we determine the incoming
and outgoing translation representations, the scattering operator, which turns
out to be unitarily equivalent to the multiplication operator given by the
rational function , and the Lax-Phillips semigroup,
which describes the evolution of the states which are neither incoming in the
past nor outgoing in the future
The influence of long-range correlated defects on critical ultrasound propagation in solids
The effect of long-range correlated quenched structural defects on the
critical ultrasound attenuation and sound velocity dispersion is studied for
three-dimensional Ising-like systems. A field-theoretical description of the
dynamic critical effects of ultrasound propagation in solids is performed with
allowance for both fluctuation and relaxation attenuation mechanisms. The
temperature and frequency dependences of the dynamical scaling functions of the
ultrasound critical characteristics are calculated in a two-loop approximation
for different values of the correlation parameter of the Weinrib-Halperin
model with long-range correlated defects. The asymptotic behavior of the
dynamical scaling functions in hydrodynamic and critical regions is separated.
The influence of long-range correlated disorder on the asymptotic behavior of
the critical ultrasonic anomalies is discussed.Comment: 12 RevTeX pages, 3 figure
Decay of metastable current states in one-dimensional resonant tunneling devices
Current switching in a double-barrier resonant tunneling structure is studied
in the regime where the current-voltage characteristic exhibits intrinsic
bistability, so that in a certain range of bias two different steady states of
current are possible. Near the upper boundary V_{th} of the bistable region the
upper current state is metastable, and because of the shot noise it eventually
decays to the stable lower current state. We find the time of this switching
process in strip-shaped devices, with the width small compared to the length.
As the bias V is tuned away from the boundary value V_{th} of the bistable
region, the mean switching time \tau increases exponentially. We show that in
long strips \ln\tau \propto (V_{th} -V)^{5/4}, whereas in short strips \ln\tau
\propto (V_{th} -V)^{3/2}. The one-dimensional geometry of the problem enables
us to obtain analytically exact expressions for both the exponential and the
prefactor of \tau. Furthermore, we show that, depending on the parameters of
the system, the switching can be initiated either inside the strip, or at its
ends.Comment: 12 pages, 5 figures, update to published versio
Lieb-Liniger model of a dissipation-induced Tonks-Girardeau gas
We show that strong inelastic interactions between bosons in one dimension
create a Tonks-Girardeau gas, much as in the case of elastic interactions. We
derive a Markovian master equation that describes the loss caused by the
inelastic collisions. This yields a loss rate equation and a dissipative
Lieb-Liniger model for short times. We obtain an analytic expression for the
pair correlation function in the limit of strong dissipation. Numerical
calculations show how a diverging dissipation strength leads to a vanishing of
the actual loss rate and renders an additional elastic part of the interaction
irrelevant
Quantum and semiclassical study of magnetic anti-dots
We study the energy level structure of two-dimensional charged particles in
inhomogeneous magnetic fields. In particular, for magnetic anti-dots the
magnetic field is zero inside the dot and constant outside. Such a device can
be fabricated with present-day technology. We present detailed semiclassical
studies of such magnetic anti-dot systems and provide a comparison with exact
quantum calculations. In the semiclassical approach we apply the Berry-Tabor
formula for the density of states and the Borh-Sommerfeld quantization rules.
In both cases we found good agreement with the exact spectrum in the weak
magnetic field limit. The energy spectrum for a given missing flux quantum is
classified in six possible classes of orbits and summarized in a so-called
phase diagram. We also investigate the current flow patterns of different
quantum states and show the clear correspondence with classical trajectories.Comment: 14 pages, 13 figure
The Quantum as an Emergent System
Double slit interference is explained with the aid of what we call
"21stcentury classical physics". We model a particle as an oscillator
("bouncer") in a thermal context, which is given by some assumed "zero-point"
field of the vacuum. In this way, the quantum is understood as an emergent
system, i.e., a steady-state system maintained by a constant throughput of
(vacuum) energy. To account for the particle's thermal environment, we
introduce a "path excitation field", which derives from the thermodynamics of
the zero-point vacuum and which represents all possible paths a particle can
take via thermal path fluctuations. The intensity distribution on a screen
behind a double slit is calculated, as well as the corresponding trajectories
and the probability density current. Further, particular features of the
relative phase are shown to be responsible for nonlocal effects not only in
ordinary quantum theory, but also in our classical approach.Comment: 24 pages, 2 figures, based on a talk given at "Emergent Quantum
Mechanics (Heinz von Foerster Conference 2011)",
http://www.univie.ac.at/hvf11/congress/EmerQuM.htm
Crossover from Isotropic to Directed Percolation
Percolation clusters are probably the simplest example for scale--invariant
structures which either are governed by isotropic scaling--laws
(``self--similarity'') or --- as in the case of directed percolation --- may
display anisotropic scaling behavior (``self--affinity''). Taking advantage of
the fact that both isotropic and directed bond percolation (with one preferred
direction) may be mapped onto corresponding variants of (Reggeon) field theory,
we discuss the crossover between self--similar and self--affine scaling. This
has been a long--standing and yet unsolved problem because it is accompanied by
different upper critical dimensions: for isotropic, and
for directed percolation, respectively. Using a generalized
subtraction scheme we show that this crossover may nevertheless be treated
consistently within the framework of renormalization group theory. We identify
the corresponding crossover exponent, and calculate effective exponents for
different length scales and the pair correlation function to one--loop order.
Thus we are able to predict at which characteristic anisotropy scale the
crossover should occur. The results are subject to direct tests by both
computer simulations and experiment. We emphasize the broad range of
applicability of the proposed method.Comment: 19 pages, written in RevTeX, 12 figures available upon request (from
[email protected] or [email protected]), EF/UCT--94/2, to be
published in Phys. Rev. E (May 1994
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