332 research outputs found
Collectivity, Phase Transitions and Exceptional Points in Open Quantum Systems
Phase transitions in open quantum systems, which are associated with the
formation of collective states of a large width and of trapped states with
rather small widths, are related to exceptional points of the Hamiltonian.
Exceptional points are the singularities of the spectrum and eigenfunctions,
when they are considered as functions of a coupling parameter. In the present
paper this parameter is the coupling strength to the continuum. It is shown
that the positions of the exceptional points (their accumulation point in the
thermodynamical limit) depend on the particular type and energy dependence of
the coupling to the continuum in the same way as the transition point of the
corresponding phase transition.Comment: 22 pages, 4 figure
New Mechanism of Magnetoresistance in Bulk Semiconductors: Boundary Condition Effects
We consider the electronic transport in bounded semiconductors in the
presence of an external magnetic field. Taking into account appropriate
boundary conditions for the current density at the contacts, a change in the
magnetoresistance of bulk semiconductors is found as compared with the usual
theory of galvanomagnetic effects in boundless media. New mechanism in
magnetoresistance connected with the boundary conditions arises. In particular,
even when the relaxation time is independent of the electron energy,
magnetoresistance is not vanish.Comment: 7 pages, Elsart macro package (LaTeX2e edition
Limits on the monopole magnetic field from measurements of the electric dipole moments of atoms, molecules and the neutron
A radial magnetic field can induce a time invariance violating electric
dipole moment (EDM) in quantum systems. The EDMs of the Tl, Cs, Xe and Hg atoms
and the neutron that are produced by such a field are estimated. The
contributions of such a field to the constants, of the T,P-odd
interactions and are also estimated for the TlF, HgF and YbF molecules (where
() is the electron (nuclear) spin and is the molecular
axis). The best limit on the contact monopole field can be obtained from the
measured value of the Tl EDM. The possibility of such a field being produced
from polarization of the vacuum of electrically charged magnetic monopoles
(dyons) by a Coulomb field is discussed, as well as the limit on these dyons.
An alternative mechanism involves chromomagnetic and chromoelectric fields in
QCD.Comment: Uses RevTex, 16 pages, 4 postscript figures. An explanation of why
there is no orbital contribution to the EDM has been added, and the
presentation has been improved in genera
Stability of critical behaviour of weakly disordered systems with respect to the replica symmetry breaking
A field-theoretic description of the critical behaviour of the weakly
disordered systems is given. Directly, for three- and two-dimensional systems a
renormalization analysis of the effective Hamiltonian of model with replica
symmetry breaking (RSB) potentials is carried out in the two-loop
approximation. For case with 1-step RSB the fixed points (FP's) corresponding
to stability of the various types of critical behaviour are identified with the
use of the Pade-Borel summation technique. Analysis of FP's has shown a
stability of the critical behaviour of the weakly disordered systems with
respect to RSB effects and realization of former scenario of disorder influence
on critical behaviour.Comment: 10 pages, RevTeX. Version 3 adds the functions for arbitrary
dimension of syste
Time Delay Correlations in Chaotic Scattering: Random Matrix Approach
We study the correlations of time delays in a model of chaotic resonance
scattering based on the random matrix approach. Analytical formulae which are
valid for arbitrary number of open channels and arbitrary coupling strength
between resonances and channels are obtained by the supersymmetry method. We
demonstrate that the time delay correlation function, though being not a
Lorentzian, is characterized, similar to that of the scattering matrix, by the
gap between the cloud of complex poles of the -matrix and the real energy
axis.Comment: 15 pages, LaTeX, 4 figures availible upon reques
Effective Coupling for Open Billiards
We derive an explicit expression for the coupling constants of individual
eigenstates of a closed billiard which is opened by attaching a waveguide. The
Wigner time delay and the resonance positions resulting from the coupling
constants are compared to an exact numerical calculation. Deviations can be
attributed to evanescent modes in the waveguide and to the finite number of
eigenstates taken into account. The influence of the shape of the billiard and
of the boundary conditions at the mouth of the waveguide are also discussed.
Finally we show that the mean value of the dimensionless coupling constants
tends to the critical value when the eigenstates of the billiard follow
random-matrix theory
Form factors in RQM approaches: constraints from space-time translations
Different relativistic quantum mechanics approaches have recently been used
to calculate properties of various systems, form factors in particular. It is
known that predictions, which most often rely on a single-particle current
approximation, can lead to predictions with a very large range. It was shown
that accounting for constraints related to space-time translations could
considerably reduce this range. It is shown here that predictions can be made
identical for a large range of cases. These ones include the following
approaches: instant form, front form, and "point-form" in arbitrary momentum
configurations and a dispersion-relation approach which can be considered as
the approach which the other ones should converge to. This important result
supposes both an implementation of the above constraints and an appropriate
single-particle-like current. The change of variables that allows one to
establish the equivalence of the approaches is given. Some points are
illustrated with numerical results for the ground state of a system consisting
of scalar particles.Comment: 37 pages, 7 figures; further comments in ps 16 and 19; further
references; modified presentation of some formulas; corrected misprint
Does strange kinetics imply unusual thermodynamics?
We introduce a fractional Fokker-Planck equation (FFPE) for Levy flights in
the presence of an external field. The equation is derived within the framework
of the subordination of random processes which leads to Levy flights. It is
shown that the coexistence of anomalous transport and a potential displays a
regular exponential relaxation towards the Boltzmann equilibrium distribution.
The properties of the Levy-flight FFPE derived here are compared with earlier
findings for subdiffusive FFPE. The latter is characterized by a
non-exponential Mittag-Leffler relaxation to the Boltzmann distribution. In
both cases, which describe strange kinetics, the Boltzmann equilibrium is
reached and modifications of the Boltzmann thermodynamics are not required
Reducing nonideal to ideal coupling in random matrix description of chaotic scattering: Application to the time-delay problem
We write explicitly a transformation of the scattering phases reducing the
problem of quantum chaotic scattering for systems with M statistically
equivalent channels at nonideal coupling to that for ideal coupling. Unfolding
the phases by their local density leads to universality of their local
fluctuations for large M. A relation between the partial time delays and
diagonal matrix elements of the Wigner-Smith matrix is revealed for ideal
coupling. This helped us in deriving the joint probability distribution of
partial time delays and the distribution of the Wigner time delay.Comment: 4 pages, revtex, no figures; published versio
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