[Matts-arxiv] Matt's arXiv selection: week ending 24 September 2010

From: Matthew Davis <mdavis_at_physics.uq.edu.au>
Date: Thu, 4 Nov 2010 23:10:51 +1000

Dear subscribers,

This week's selection was compiled by Chris Foster, and contains 21 new
abstracts and 7 replacements.

arXiv:1005.0686 (*cross-listing*)
Date: Wed, 5 May 2010 08:02:48 GMT (236kb,D)
Date (revised v2): Mon, 20 Sep 2010 05:55:45 GMT (237kb,D)

Title: The Transition to a Giant Vortex Phase in a Fast Rotating Bose-Einstein
Authors: M. Correggi, N. Rougerie, J. Yngvason
Categories: math-ph cond-mat.quant-gas math.MP
Comments: 52 pages, PDFLaTex. References added, minor corrections. To be
   published in Commun. Math. Phys
MSC-class: 35Q55, 47J30, 76M23
   We study the Gross-Pitaevskii (GP) energy functional for a fast rotating
Bose-Einstein condensate on the unit disc in two dimensions. Writing the
coupling parameter as $1/\eps^2$ we consider the asymptotic regime $\eps\to 0$
with the angular velocity $\Omega$ proportional to $(\eps^2|\log\eps|)^{-1}$.
We prove that if $\Omega=\Omega_0 (\eps^2|\log\eps|)^{-1}$ and
$\Omega_0>(3\pi)^{-1}$ then a minimizer of the GP energy functional has no
zeros in an annulus at the boundary of the disc that contains the bulk of the
mass. The vorticity resides in a complementary `hole' around the center where
the density is vanishingly small. Moreover, we prove a lower bound to the
ground state energy that matches, up to small errors, the upper bound obtained
from an optimal giant vortex trial function, and also that the winding number
of a GP minimizer around the disc is in accord with the phase of this trial
\\ ( http://arxiv.org/abs/1005.0686 , 237kb)
Date: Thu, 16 Sep 2010 21:51:23 GMT (53kb)

Title: Complexity of waves in nonlinear disordered media
Authors: Claudio Conti and Luca Leuzzi
Categories: cond-mat.stat-mech physics.optics
Comments: 20 pages, 11 Figures
   The statistical properties of the phases of several modes nonlinearly coupled
in a random system are investigated by means of a Hamiltonian model with
disordered couplings. The regime in which the modes have a stationary
distribution of their energies and the phases are coupled is studied for
arbitrary degrees of randomness and energy. The complexity versus temperature
and strength of nonlinearity is calculated. A phase diagram is derived in terms
of the stored energy and amount of disorder. Implications in random lasing,
nonlinear wave propagation and finite temperature Bose-Einstein condensation
are discussed.
\\ ( http://arxiv.org/abs/1009.3290 , 53kb)
Date: Fri, 17 Sep 2010 00:24:02 GMT (19kb)

Title: The Bogoliubov inequality and the nature of Bose-Einstein condensates
   for interacting atoms in spatial dimensions D </- 2
Authors: Moorad Alexanian
Categories: cond-mat.quant-gas
   We consider the restriction placed by the Bogoliubov inequality on the nature
of the Bose-Einstein condensates (BECs) for interacting atoms in a spatial
dimension D </- 2 and in the presence of an external arbitrary potential, which
may be a confining "box", a periodic, or a disordered potential. The atom-atom
interaction gives rise to a (gauge invariance) symmetry-breaking term that
places further restrictions on BECs in the form of a consistency proviso. The
necessary condition for the existence of a BEC in D </- 2 in all cases is
macroscopic occupation of many single-particle momenta states with the origin a
limit point (or accumulation point) of condensates. It is shown that the nature
of BECs for noninteracting atoms in a disordered potential is precisely the
same as that of BECs for interacting atoms in the absence of an external
\\ ( http://arxiv.org/abs/1009.3302 , 19kb)
Date: Fri, 17 Sep 2010 01:29:53 GMT (499kb)

Title: Quantum process tomography with coherent states
Authors: Saleh Rahimi-Keshari, Artur Scherer, Ady Mann, Ali T. Rezakhani, A. I.
   Lvovsky, and Barry C. Sanders
Categories: quant-ph
Comments: 18 pages, 2 figures
   We develop an enhanced technique for characterizing quantum optical processes
based on probing unknown quantum processes only with coherent states. Our
method substantially improves the original proposal [M. Lobino et al., Science
322, 563 (2008)], which uses a filtered Glauber-Sudarshan decomposition to
determine the effect of the process on an arbitrary state. We introduce a new
relation between the action of a general quantum process on coherent state
inputs and its action on an arbitrary quantum state. This relation eliminates
the need to invoke the Glauber-Sudarshan representation for states; hence it
dramatically simplifies the task of process identification and removes a
potential source of error. The new relation also enables straightforward
extensions of the method to multi-mode and non-trace-preserving processes. We
illustrate our formalism with several examples, in which we derive analytic
representations of several fundamental quantum optical processes in the Fock
basis. In particular, we introduce photon-number cutoff as a reasonable
physical resource limitation and address resource vs accuracy trade-off in
practical applications. We show that the accuracy of process estimation scales
inversely with the square root of photon-number cutoff.
\\ ( http://arxiv.org/abs/1009.3307 , 499kb)
Date: Fri, 17 Sep 2010 07:05:23 GMT (596kb)

Title: Analysis of a continuous-variable quadripartite cluster state from a
   single optical parametric oscillator
Authors: S.L.W. Midgley, A.S. Bradley, O. Pfister and M.K. Olsen
Categories: quant-ph
Comments: 26 pages, 12 figures
   We examine the feasibility of generating continuous-variable multipartite
entanglement in an intra-cavity quadruply concurrent downconversion scheme that
has been proposed for the generation of cluster states by Menicucci \textit{et
al.} [Physical Review Letters \textbf{101}, 130501 (2008)]. By calculating
optimized versions of the van Loock-Furusawa correlations we demonstrate
genuine quadripartite entanglement and investigate the degree of entanglement
present. Above the oscillation threshold the basic cluster state geometry under
consideration suffers from phase diffusion. We alleviate this problem by
incorporating a small injected signal into our analysis. Finally, we
investigate squeezed joint operators. While the squeezed joint operators
approach zero in the undepleted regime, we find that this is not the case when
we consider the full interaction Hamiltonian and the presence of a cavity. In
fact, we find that the decay of these operators is minimal in a cavity, and
even depletion alone inhibits cluster state formation.
\\ ( http://arxiv.org/abs/1009.3349 , 596kb)
Date: Fri, 17 Sep 2010 14:42:00 GMT (1597kb,D)

Title: Localization of correlated fermions in optical lattices with speckle
Authors: D. Semmler, J. Wernsdorfer, U. Bissbort, K. Byczuk, W. Hofstetter
Categories: cond-mat.quant-gas cond-mat.dis-nn
Comments: 12 pages, 16 figures
   Strongly correlated fermions in three- and two-dimensional optical lattices
with experimentally realistic speckle disorder are investigated. We extend and
apply the statistical dynamical mean-field theory, which treats local
correlations non-perturbatively, to incorporate on-site and hopping-type
randomness on equal footing. Localization due to disorder is detected via the
probability distribution function of the local density of states. We obtain a
complete paramagnetic ground state phase diagram for experimentally realistic
parameters and find a strong suppression of the correlation-induced metal
insulator transition due to disorder. Our results indicate that the
Anderson-Mott and the Mott insulator are not continuously connected due to the
specific character of speckle disorder. Furthermore, we discuss the effect of
finite temperature on the single-particle spectral function.
\\ ( http://arxiv.org/abs/1009.3438 , 1597kb)
Date: Fri, 17 Sep 2010 18:13:25 GMT (1088kb)

Title: Momentum-resolved study of an array of 1D strongly phase-fluctuating
   Bose gases
Authors: Nicole Fabbri, David Cl\'ement, Leonardo Fallani, Chiara Fort and
   Massimo Inguscio
Categories: cond-mat.quant-gas
Comments: 4 pages, 4 figures
   We investigate the coherence properties of an array of one-dimensional Bose
gases with short-scale phase fluctuations. The momentum distribution is
measured using Bragg spectroscopy and an effective coherence length of the
whole ensemble is defined. In addition, we propose and demonstrate that
time-of-flight absorption imaging can be used as a simple probe to directly
measure the coherence-length of 1D gases in the regime where phase-fluctuations
are strong. This method is suitable for future studies such as investigating
the effect of disorder on the phase coherence.
\\ ( http://arxiv.org/abs/1009.3480 , 1088kb)
arXiv:1009.3666 (*cross-listing*)
Date: Sun, 19 Sep 2010 23:02:12 GMT (353kb)

Title: Time-dependent self-trapping of Bose-Einstein Condensates in a
   double-well potential
Authors: B. Cui, L. C. Wang, X. X. Yi
Categories: cond-mat.quant-gas quant-ph
Comments: 6 pages, 6 figures
   Based on the mean-field approximation and the phase space analysis, we
discuss the dynamics of Bose-Einstein condensates in a double-well potential.
By applying a periodic modulation to the coupling between the condensates, we
find the condensates can be trapped in the time-dependent eigenstates of the
effective Hamiltonian, we refer to this effect as time-dependent self-trapping
of BECs. A comparison of this self-trapping with the adiabatic evolution is
made, finding that the adiabatic evolution beyond the traditional(linear)
adiabatic condition can be achieved in BECs by manipulating the nonlinearity
and the ratio of the level bias to the coupling constant. The fixed points for
the system are calculated and discussed.
\\ ( http://arxiv.org/abs/1009.3666 , 353kb)
Date: Mon, 20 Sep 2010 10:08:34 GMT (231kb)

Title: Time-resolved detection of relative intensity squeezed nanosecond pulses
   in a 87Rb vapor
Authors: Imad H. Agha, Christina Giarmatzi, Gaetan Messin, and Philippe
Categories: physics.optics physics.atom-ph quant-ph
Comments: 11 pages, 6 figures
   We present experimental studies on the generation and detection of pulsed,
relative-intensity squeezed light in a warm rubidium vapor. The noise
correlations between a pulsed probe beam and its conjugate -generated through
nearly-degenerate four-wave mixing in a double-lambda system- are studied via
time-resolved balanced detection. We observe -0.96 dB of time-resolved relative
intensity squeezing with 50 nanosecond pulses at 1 MHz repetition rate. (-1.34
dB corrected for loss).
\\ ( http://arxiv.org/abs/1009.3756 , 231kb)
Date: Mon, 20 Sep 2010 16:17:42 GMT (20kb)

Title: Field-induced phase transitions of repulsive spin-1 bosons in optical
Authors: K. Rodriguez, A. Arg\"uelles, A. K. Kolezhuk, L. Santos, T. Vekua
Categories: cond-mat.quant-gas
Comments: 4 pages, 2 figures
   We study the phase diagram of repulsively interacting spin-1 bosons in
optical lattices at unit filling, showing that an externally induced quadratic
Zeeman effect may lead to a rich physics characterized by various phases and
phase transitions. We find that the main properties of the system may be
described by an effective field model, which provides the precise location of
the phase boundaries for any dimension, being in excellent agreement with our
numerical calculations for one-dimensional systems. Our work provides a
quantitative guide for the experimental analysis of various types of
field-induced quantum phase transitions in spin-1 lattice bosons. These
transitions, which are precluded in spin-1/2 systems, may be realized using an
externally modified quadratic Zeeman coupling, similar to recent experiments
with spinor condensates in the continuum.
\\ ( http://arxiv.org/abs/1009.3875 , 20kb)
arXiv:1009.3953 (*cross-listing*)
Date: Mon, 20 Sep 2010 21:05:51 GMT (437kb)

Title: Low temperature thermodynamic properties of a polarized Fermi gas in a
   quartic trap
Authors: Mark DelloStritto and Theja N. De Silva
Categories: cond-mat.quant-gas physics.atom-ph
Comments: 13 pages and 7 figures
Journal-ref: JURP: The Journal of Undergraduate Research in Physics, August 25,
   We study low temperature thermodynamic properties of a polarized Fermi gas
trapped in a quartic anharmonic potential. We use a semi classical
approximation and a low temperature series expansion method to derive
analytical expressions for various thermodynamic quantities. These quantities
include the total energy, particle number, and heat capacity for both positive
and negative anharmonic confinements.
\\ ( http://arxiv.org/abs/1009.3953 , 437kb)
Date: Tue, 21 Sep 2010 09:06:44 GMT (90kb)

Title: Spontaneous Parity--Time Symmetry Breaking and Stability of Solitons in
   Bose-Einstein Condensates
Authors: Zhenya Yan, Bo Xiong and Wu-Ming Liu
Categories: cond-mat.quant-gas
Comments: Submitted to Physical Review Letters on Sept. 13th 2010
   We report explicitly a novel family of exact PT-symmetric solitons and
further study their spontaneous PT symmetry breaking, stabilities and
collisions in Bose-Einstein condensates trapped in a PT-symmetric harmonic trap
and a Hermite-Gaussian gain/loss potential. We observe the significant effects
of mean-field interaction by modifying the threshold point of spontaneous PT
symmetry breaking in Bose-Einstein condensates. Our scenario provides a
promising approach to study PT-related universal behaviors in non-Hermitian
quantum system based on the manipulation of gain/loss potential in
Bose-Einstein condensates.
\\ ( http://arxiv.org/abs/1009.4023 , 90kb)
Date: Tue, 21 Sep 2010 14:55:54 GMT (8kb)

Title: On the Bose-Einstein Condensation of Rotons
Authors: Lev A. Melnikovsky
Categories: cond-mat.other cond-mat.quant-gas
Comments: 9 pages
   Bose-Einstein condensation of rotons in helium was considered long ago. It
was shown that the relative velocity of the normal motion in this state must be
equal to the Landau critical velocity. We argue that the condensation can be
attained at a smaller velocity if the temperature is low enough.
\\ ( http://arxiv.org/abs/1009.4114 , 8kb)
Date: Tue, 21 Sep 2010 21:40:59 GMT (1644kb,D)

Title: Interference of parametrically driven one dimensional ultracold gases
Authors: Susanne Pielawa
Categories: cond-mat.quant-gas quant-ph
Comments: 7 pages, 5 figures
   We theoretically analyze interference patterns of parametrically driven one
dimensional ultracold atomic gases. By modulating the interaction strength
periodically in time, we propose to excite collective modes in a pair of
independent one dimensional gases at energies corresponding to the drive
frequency. The excited collective modes lead to spatial oscillations in the
correlations of the interference pattern, which can be analyzed to obtain the
sound velocity of the collective modes. We discuss both bosonic and fermionic
systems, and how such experiments could be used to probe spin charge
\\ ( http://arxiv.org/abs/1009.4223 , 1644kb)
Date: Wed, 22 Sep 2010 17:27:51 GMT (4kb)

Title: The Wigner Distribution
Authors: R. F. O'Connell
Categories: quant-ph
Journal-ref: in "Compendium of Quantum Physics", edited by D.Greenberger, K.
   Hentschel and F.Weinert (Springer 2009)
   In contrast to classical physics, the language of quantum mechanics involves
operators and wave functions (or, more generally, density operators). However,
in 1932, Wigner formulated quantum mechanics in terms of a distribution
function $W(q,p)$, the marginals of which yield the correct quantum
probabilities for $q$ and $p$ separately \cite{wigner}. Its usefulness stems
from the fact that it provides a re-expression of quantum mechanics in terms of
classical concepts so that quantum mechanical expectation values are now
expressed as averages over phase-space distribution functions. In other words,
statistical information is transferred from the density operator to a
quasi-classical (distribution) function.
\\ ( http://arxiv.org/abs/1009.4431 , 4kb)
Date: Wed, 22 Sep 2010 20:58:19 GMT (651kb)

Title: Oscillatory pairing of fermions in spin-split traps
Authors: Kuei Sun, Julia S. Meyer, Daniel E. Sheehy, Smitha Vishveshwara
Categories: cond-mat.quant-gas
Comments: 4 pages, 5 figures, RevTeX
   As a means of realizing oscillatory pairing between fermions, we study
superfluid pairing between two fermion "spin" species that are confined to
adjustable spin-dependent trapping potentials. Focusing on the one-dimensional
limit, we find that with increasing separation between the spin-dependent traps
the fermions exhibit distinct phases, including a fully paired phase, a
spin-imbalanced phase with oscillatory pairing, and an unpaired fully
spin-polarized phase. We obtain the phase diagram of fermions in such a
spin-split trap and discuss signatures of these phases in cold-atom
\\ ( http://arxiv.org/abs/1009.4476 , 651kb)
Date: Thu, 23 Sep 2010 03:39:18 GMT (679kb)

Title: Macroscopic Superposition of Ultracold Atoms with Orbital Degrees of
Authors: M.~A. Garc\'ia-March, D.~R. Dounas-Frazer, and L.~D. Carr
Categories: cond-mat.quant-gas
Comments: 21 pages, 9 figures
   We introduce higher dimensions into the problem of Bose-Einstein condensates
in a double-well potential, taking into account orbital angular momentum. We
completely characterize the eigenstates of this system, delineating new regimes
via both analytical high-order perturbation theory and numerical exact
diagonalization. Among these regimes are mixed Josephson- and Fock-like
behavior, crossings in both excited and ground states, and shadows of
macroscopic superposition states.
\\ ( http://arxiv.org/abs/1009.4514 , 679kb)
Date: Thu, 23 Sep 2010 03:48:18 GMT (1812kb)

Title: Combined ion and atom trap for low temperature ion-atom physics
Authors: K. Ravi, Seunghyun Lee, Arijit Sharma, G. Werth, and S. A. Rangwala
Categories: physics.atom-ph
Comments: 9 pages, 11 figures
   We report an experimental apparatus and technique which simultaneously traps
ions and cold atoms with spatial overlap. Such an apparatus is motivated by the
study of ion-atom processes at temperatures ranging from hot to ultra-cold.
This area is a largely unexplored domain of physics with cold trapped atoms. In
this article we discuss the general design considerations for combining these
two traps and present our experimental setup. The ion trap and atom traps are
characterized independently of each other. The simultaneous operation of both
is then described and experimental signatures of the effect of the ions and
cold-atoms on each other are presented. In conclusion the use of such an
instrument for several problems in physics and chemistry is briefly discussed.
\\ ( http://arxiv.org/abs/1009.4515 , 1812kb)
Date: Thu, 23 Sep 2010 07:22:54 GMT (138kb)

Title: Quantitative comparison between theoretical predictions and experimental
   results for Bragg spectroscopy of a strongly interacting Fermi superfluid
Authors: Peng Zou, Eva D. Kuhnle, Chris J. Vale, and Hui Hu
Categories: cond-mat.quant-gas cond-mat.supr-con
Comments: 5 pages and 4 figures
   Theoretical predictions for the dynamic structure factor of a harmonically
trapped Fermi superfluid near the BEC-BCS crossover are compared with recent
Bragg spectroscopy measurements at large transferred momenta. The calculations
are based on a random-phase (or time-dependent Hartree-Fock-Gorkov)
approximation generalized to the strongly interacting regime. Excellent
agreement with experimental spectra at low temperatures is obtained, with no
free parameters. Theoretical predictions for zero-temperature static structure
factor are also found to agree well with the experimental results and
independent theoretical calculations based on the exact Tan relations. The
temperature dependence of the structure factors at unitarity is predicted.
\\ ( http://arxiv.org/abs/1009.4532 , 138kb)
Date: Thu, 23 Sep 2010 11:16:21 GMT (40kb)

Title: Resonance States and Quantum Tunneling of Bose Einstein condensates in a
   3D shallow trap
Authors: Sudip Kumar Haldar, Barnali Chakrabarti, Tapan Kumar Das
Categories: cond-mat.quant-gas
   A correlated quantum many-body method is applied to describe resonance states
of atomic Bose-Einstein condensates (BEC) in a realistic shallow trap (as
opposed to infinite traps commonly used). The realistic van der Waals
interaction is adopted as the interatomic interaction. We calculate
experimentally measurable decay rates of the lowest quasi-bound state in the
shallow trap. The most striking result is the observation of a new metastable
branch besides the usual one for attractive BEC in a pure harmonic trap. As the
particle number increases the new metastable branch appears, then gradually
disappears and finally usual metastable branch (associated with the attractive
BEC in a harmonic trap) appears, eventually leading to the collapse of the
\\ ( http://arxiv.org/abs/1009.4578 , 40kb)
Date: Thu, 23 Sep 2010 16:17:07 GMT (987kb,D)

Title: Imaging of microwave fields using ultracold atoms
Authors: Pascal Boehi, Max F. Riedel, Theodor W. Haensch and Philipp Treutlein
Categories: physics.atom-ph cond-mat.quant-gas physics.ins-det quant-ph
Comments: 11 pages, 4 figures
Journal-ref: Appl. Phys. Lett. 97, 051101 (2010)
DOI: 10.1063/1.3470591
   We report a technique that uses clouds of ultracold atoms as sensitive,
tunable, and non-invasive probes for microwave field imaging with micrometer
spatial resolution. The microwave magnetic field components drive Rabi
oscillations on atomic hyperfine transitions whose frequency can be tuned with
a static magnetic field. Readout is accomplished using state-selective
absorption imaging. Quantitative data extraction is simple and it is possible
to reconstruct the distribution of microwave magnetic field amplitudes and
phases. While we demonstrate 2d imaging, an extension to 3d imaging is
straightforward. We use the method to determine the microwave near-field
distribution around a coplanar waveguide integrated on an atom chip.
\\ ( http://arxiv.org/abs/1009.4651 , 987kb)

The replacements:

replaced with revised version Fri, 17 Sep 2010 06:19:01 GMT (67kb)

Title: Study of Kosterlitz-Thouless transition of Bose systems governed by a
   random potential using quantum Monte Carlo simulations
Authors: Hiroki Kuroyanagi, Mitsuaki Tsukamoto and Makoto Tsubota
Categories: cond-mat.stat-mech cond-mat.dis-nn
Comments: 13 pages, 9 figures
\\ ( http://arxiv.org/abs/0909.3563 , 67kb)
arXiv:1008.5349 (*cross-listing*)
replaced with revised version Fri, 17 Sep 2010 15:16:29 GMT (11kb)

Title: The Excitation Spectrum for Weakly Interacting Bosons
Authors: Robert Seiringer
Categories: math-ph cond-mat.quant-gas math.MP
Comments: LaTeX, 13 pages; Typos corrected, Remarks and References added
\\ ( http://arxiv.org/abs/1008.5349 , 11kb)
arXiv:1004.2499 (*cross-listing*)
replaced with revised version Fri, 17 Sep 2010 19:18:22 GMT (1014kb)

Title: Collective many-body interaction in Rydberg dressed atoms
Authors: Jens Honer, Hendrik Weimer, Tilman Pfau and Hans Peter B\"uchler
Categories: cond-mat.quant-gas quant-ph
Comments: 4 pages, 3 figures Accepted for publication as a Letter in Physical
   Review Letters
\\ ( http://arxiv.org/abs/1004.2499 , 1014kb)
replaced with revised version Mon, 20 Sep 2010 00:18:52 GMT (280kb,D)

Title: Do Quenched Spinor Condensates Thermalize?
Authors: Ryan Barnett, Anatoli Polkovnikov, and Mukund Vengalattore
Categories: cond-mat.quant-gas
Comments: 4 pages, 3 figures
\\ ( http://arxiv.org/abs/1009.1646 , 280kb)
replaced with revised version Tue, 21 Sep 2010 04:41:44 GMT (156kb,D)

Title: Mean-field regime of trapped dipolar Bose-Einstein condensates in one
   and two dimensions
Authors: Yongyong Cai, Matthias Rosenkranz, Zhen Lei and Weizhu Bao
Categories: cond-mat.quant-gas quant-ph
Comments: 11 pages, 5 figures. Extended numerical evidence, added closed form
   of effective nonlocal potential kernel
\\ ( http://arxiv.org/abs/1006.4950 , 156kb)
replaced with revised version Tue, 21 Sep 2010 18:29:41 GMT (2163kb,D)

Title: Numerical generation of a vortex ring cascade in quantum turbulence
Authors: Robert M. Kerr
Categories: cond-mat.quant-gas nlin.PS
Comments: 22 pages 17 figures
\\ ( http://arxiv.org/abs/1006.3911 , 2163kb)
replaced with revised version Wed, 22 Sep 2010 17:17:22 GMT (13kb)

Title: Ground States of a Mixture of Two Species of Spinor Bose Gases with
   Interspecies Spin Exchange
Authors: Yu Shi
Categories: cond-mat.quant-gas quant-ph
Comments: 10 pages, version published in PRA. This paper was submitted to both
   arXiv and PRA on December 11 2009, but the first referee contacted by PRA did
   not report, and a second referee was appointed three months later. It was
   also reported in 5th CAS cross-strait and international conference on quantum
   manipulation, Beijing December 19-20 2009
Journal-ref: Phys. Rev. A 82, 023603 (2010)
\\ ( http://arxiv.org/abs/0912.2209 , 13kb)

Till next time,

Dr M. J. Davis,                      Associate Professor in Physics
School of Mathematics and Physics,   ph  : +61 7 334 69824
The University of Queensland,        fax : +61 7 336 51242
Brisbane, QLD 4072,                  mdavis_at_physics.uq.edu.au
Australia.                           www.physics.uq.edu.au/people/mdavis/
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