19,051 research outputs found
Spin wave dispersion in La2CuO4
We calculate the antiferromagnetic spin wave dispersion in the half-filled
Hubbard model for a two-dimensional square lattice and find it to be in
excellent agreement with recent high-resolution inelastic neutron scattering
performed on La2CuO4 [Phys. Rev. Lett. 86, 5377 (2001)].Comment: typos correcte
Angular Momentum Distribution Function of the Laughlin Droplet
We have evaluated the angular-momentum distribution functions for finite
numbers of electrons in Laughlin states. For very small numbers of electrons
the angular-momentum state occupation numbers have been evaluated exactly while
for larger numbers of electrons they have been obtained from Monte-Carlo
estimates of the one-particle density matrix. An exact relationship, valid for
any number of electrons, has been derived for the ratio of the occupation
numbers of the two outermost orbitals of the Laughlin droplet and is used to
test the accuracy of the MC calculations. We compare the occupation numbers
near the outer edges of the droplets with predictions based on the chiral
Luttinger liquid picture of Laughlin state edges and discuss the surprisingly
large oscillations in occupation numbers which occur for angular momenta far
from the edge.Comment: 11 pages of RevTeX, 2 figures available on request. IUCM93-00
From electrons to Janskys: Full stokes polarized radiative transfer in 3D relativistic particle-in-cell jet simulations
The underlying plasma composition of relativistic extragalactic jets remains
largely unknown. Relativistic magnetohydrodynamic (RMHD) models are able to
reproduce many of the observed macroscopic features of these outflows. The
nonthermal synchrotron emission detected by very long baseline interferometric
(VLBI) arrays, however, is a by-product of the kinetic-scale physics occurring
within the jet, physics that is not modeled directly in most RMHD codes. This
paper attempts to discern the radiative differences between distinct plasma
compositions within relativistic jets using small-scale 3D relativistic
particle-in-cell (PIC) simulations. We generate full Stokes imaging of two PIC
jet simulations, one in which the jet is composed of an electron-proton
(-) plasma (i.e., a normal plasma jet), and the other in which
the jet is composed of an electron-positron (-) plasma (i.e., a
pair plasma jet). We examined the differences in the morphology and intensity
of the linear polarization (LP) and circular polarization (CP) emanating from
these two jet simulations. We find that the fractional level of CP emanating
from the - plasma jet is orders of magnitude larger than the
level emanating from an - plasma jet of a similar speed and
magnetic field strength. In addition, we find that the morphology of both the
linearly and circularly polarized synchrotron emission is distinct between the
two jet compositions. We also demonstrate the importance of slow-light
interpolation and we highlight the effect that a finite light-crossing time has
on the resultant polarization when ray-tracing through relativistic plasma.Comment: 21 pages, 13 figures; accepted for publication in A&
Electromagnetic field near cosmic string
The retarded Green function of the electromagnetic field in spacetime of a
straight thin cosmic string is found. It splits into a geodesic part
(corresponding to the propagation along null rays) and to the field scattered
on the string. With help of the Green function the electric and magnetic fields
of simple sources are constructed. It is shown that these sources are
influenced by the cosmic string through a self-interaction with their field.
The distant field of static sources is studied and it is found that it has a
different multipole structure than in Minkowski spacetime. On the other hand,
the string suppresses the electric and magnetic field of distant sources--the
field is expelled from regions near the string.Comment: 12 pages, 8 figures (low-resolution figures; for the version with
high-resolution figures see http://utf.mff.cuni.cz/~krtous/papers/), v2: two
references added, typos correcte
Non-equilibrium Entanglement and Noise in Coupled Qubits
We study charge entanglement in two Coulomb-coupled double quantum dots in
thermal equilibrium and under stationary non-equilibrium transport conditions.
In the transport regime, the entanglement exhibits a clear switching threshold
and various limits due to suppression of tunneling by Quantum Zeno localisation
or by an interaction induced energy gap. We also calculate quantum noise
spectra and discuss the inter-dot current correlation as an indicator of the
entanglement in transport experiments.Comment: 4 pages, 4 figure
Eigenvalue Separation in Some Random Matrix Models
The eigenvalue density for members of the Gaussian orthogonal and unitary
ensembles follows the Wigner semi-circle law. If the Gaussian entries are all
shifted by a constant amount c/Sqrt(2N), where N is the size of the matrix, in
the large N limit a single eigenvalue will separate from the support of the
Wigner semi-circle provided c > 1. In this study, using an asymptotic analysis
of the secular equation for the eigenvalue condition, we compare this effect to
analogous effects occurring in general variance Wishart matrices and matrices
from the shifted mean chiral ensemble. We undertake an analogous comparative
study of eigenvalue separation properties when the size of the matrices are
fixed and c goes to infinity, and higher rank analogues of this setting. This
is done using exact expressions for eigenvalue probability densities in terms
of generalized hypergeometric functions, and using the interpretation of the
latter as a Green function in the Dyson Brownian motion model. For the shifted
mean Gaussian unitary ensemble and its analogues an alternative approach is to
use exact expressions for the correlation functions in terms of classical
orthogonal polynomials and associated multiple generalizations. By using these
exact expressions to compute and plot the eigenvalue density, illustrations of
the various eigenvalue separation effects are obtained.Comment: 25 pages, 9 figures include
Exact results for interacting electrons in high Landau levels
We study a two-dimensional electron system in a magnetic field with a fermion
hardcore interaction and without disorder. Projecting the Hamiltonian onto the
n-th Landau level, we show that the Hartree-Fock theory is exact in the limit n
\rightarrow \infty, for the high temperature, uniform density phase of an
infinite system; for a finite-size system, it is exact at all temperatures. In
addition, we show that a charge-density wave arises below a transition
temperature T_t. Using Landau theory, we construct a phase diagram which
contains both unidirectional and triangular charge-density wave phases. We
discuss the unidirectional charge-density wave at zero temperature and argue
that quantum fluctuations are unimportant in the large-n limit. Finally, we
discuss the accuracy of the Hartree-Fock approximation for potentials with a
nonzero range such as the Coulomb interaction.Comment: RevTex, 12 pages with figures included in same file; to appear in
Physical Review
Measuring the condensate fraction of rapidly rotating trapped boson systems: off-diagonal order from the density
We demonstrate a direct connection between the density profile of a system of
ultra-cold trapped bosonic particles in the rapid-rotation limit and its
condensate fraction. This connection can be used to probe the crossover from
condensed vortex-lattice states to uncondensed quantum fluid states that occurs
in rapidly rotating boson systems as the particle density decreases or the
rotation frequency increases. We illustrate our proposal with a series of
examples, including ones based on models of realistic finite trap systems, and
comment on its application to freely expanding boson density profile
measurements.Comment: 4 pages, 3 figures, version accepted for publication in Phys. Rev.
Let
Superanalogs of the Calogero operators and Jack polynomials
A depending on a complex parameter superanalog
of Calogero operator is constructed; it is related with the root system of the
Lie superalgebra . For we obtain the usual Calogero
operator; for we obtain, up to a change of indeterminates and parameter
the operator constructed by Veselov, Chalykh and Feigin [2,3]. For the operator is the radial part of the 2nd
order Laplace operator for the symmetric superspaces corresponding to pairs
and , respectively. We will show
that for the generic and the superanalogs of the Jack polynomials
constructed by Kerov, Okunkov and Olshanskii [5] are eigenfunctions of
; for they coinside with the spherical
functions corresponding to the above mentioned symmetric superspaces. We also
study the inner product induced by Berezin's integral on these superspaces
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