439 research outputs found
Defect-induced condensation and central peak at elastic phase transitions
Static and dynamical properties of elastic phase transitions under the
influence of short--range defects, which locally increase the transition
temperature, are investigated. Our approach is based on a Ginzburg--Landau
theory for three--dimensional crystals with one--, two-- or three--dimensional
soft sectors, respectively. Systems with a finite concentration of
quenched, randomly placed defects display a phase transition at a temperature
, which can be considerably above the transition temperature
of the pure system. The phonon correlation function is calculated in
single--site approximation. For a dynamical central peak
appears; upon approaching , its height diverges and its width
vanishes. Using an appropriate self--consistent method, we calculate the
spatially inhomogeneous order parameter, the free energy and the specific heat,
as well as the dynamical correlation function in the ordered phase. The
dynamical central peak disappears again as the temperatur is lowered below
. The inhomogeneous order parameter causes a static central
peak in the scattering cross section, with a finite width depending on the
orientation of the external wave vector relative to the soft sector.
The jump in the specific heat at the transition temperatur of the pure system
is smeared out by the influence of the defects, leading to a distinct maximum
instead. In addition, there emerges a tiny discontinuity of the specific heat
at . We also discuss the range of validity of the mean--field
approach, and provide a more realistic estimate for the transition temperature.Comment: 11 pages, 11 ps-figures, to appear in PR
Quantum Charge Transport and Conformational Dynamics of Macromolecules
We study the dynamics of quantum excitations inside macromolecules which can
undergo conformational transitions. In the first part of the paper, we use the
path integral formalism to rigorously derive a set of coupled equations of
motion which simultaneously describe the molecular and quantum transport
dynamics, and obey the fluctuation/dissipation relationship. We also introduce
an algorithm which yields the most probable molecular and quantum transport
pathways in rare, thermally-activated reactions. In the second part of the
paper, we apply this formalism to simulate the propagation of a charge during
the collapse of a polymer from an initial stretched conformation to a final
globular state. We find that the charge dynamics is quenched when the chain
reaches a molten globule state. Using random matrix theory we show that this
transition is due to an increase of quantum localization driven by dynamical
disorder.Comment: 11 pages, 2 figure
Unexpected systematic degeneracy in a system of two coupled Gaudin models with homogeneous couplings
We report an unexpected systematic degeneracy between different multiplets in
an inversion symmetric system of two coupled Gaudin models with homogeneous
couplings, as occurring for example in the context of solid state quantum
information processing. We construct the full degenerate subspace (being of
macroscopic dimension), which turns out to lie in the kernel of the commutator
between the two Gaudin models and the coupling term. Finally we investigate to
what extend the degeneracy is related to the inversion symmetry of the system
and find that indeed there is a large class of systems showing the same type of
degeneracy.Comment: 13 pages, 4 figure
Conservation law of operator current in open quantum systems
We derive a fundamental conservation law of operator current for master
equations describing reduced quantum systems. If this law is broken, the
temporal integral of the current operator of an arbitrary system observable
does not yield in general the change of that observable in the evolution. We
study Lindblad-type master equations as examples and prove that the application
of the secular approximation during their derivation results in a violation of
the conservation law. We show that generally any violation of the law leads to
artificial corrections to the complete quantum dynamics, thus questioning the
accuracy of the particular master equation.Comment: 5 pages, final versio
Bell-state preparation for electron spins in a semiconductor double quantum dot
A robust scheme for state preparation and state trapping for the spins of two
electrons in a semiconductor double quantum dot is presented. The system is
modeled by two spins coupled to two independent bosonic reservoirs. Decoherence
effects due to this environment are minimized by application of optimized
control fields which make the target state to the ground state of the isolated
driven spin system. We show that stable spin entanglement with respect to pure
dephasing is possible. Specifically, we demonstrate state trapping in a
maximally entangled state (Bell state) in the presence of decoherence.Comment: 9 pages, 4 figure
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
Quantum features derived from the classical model of a bouncer-walker coupled to a zero-point field
In our bouncer-walker model a quantum is a nonequilibrium steady-state
maintained by a permanent throughput of energy. Specifically, we consider a
"particle" as a bouncer whose oscillations are phase-locked with those of the
energy-momentum reservoir of the zero-point field (ZPF), and we combine this
with the random-walk model of the walker, again driven by the ZPF. Starting
with this classical toy model of the bouncer-walker we were able to derive
fundamental elements of quantum theory. Here this toy model is revisited with
special emphasis on the mechanism of emergence. Especially the derivation of
the total energy hbar.omega and the coupling to the ZPF are clarified. For this
we make use of a sub-quantum equipartition theorem. It can further be shown
that the couplings of both bouncer and walker to the ZPF are identical. Then we
follow this path in accordance with previous work, expanding the view from the
particle in its rest frame to a particle in motion. The basic features of
ballistic diffusion are derived, especially the diffusion constant D, thus
providing a missing link between the different approaches of our previous
works.Comment: 14 pages, based on a talk given at "Emergent Quantum Mechanics (Heinz
von Foerster Conference 2011)", see
http://www.univie.ac.at/hvf11/congress/EmerQuM.htm
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
Exact Results for the One-Dimensional Self-Organized Critical Forest-Fire Model
We present the analytic solution of the self-organized critical (SOC)
forest-fire model in one dimension proving SOC in systems without conservation
laws by analytic means. Under the condition that the system is in the steady
state and very close to the critical point, we calculate the probability that a
string of neighboring sites is occupied by a given configuration of trees.
The critical exponent describing the size distribution of forest clusters is
exactly and does not change under certain changes of the model
rules. Computer simulations confirm the analytic results.Comment: 12 pages REVTEX, 2 figures upon request, dro/93/
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