18,410 research outputs found
SU(2) Slave Fermion Solution of the Kitaev Honeycomb Lattice Model
We apply the SU(2) slave fermion formalism to the Kitaev honeycomb lattice
model. We show that both the Toric Code phase (the A phase) and the gapless
phase of this model (the B phase) can be identified with p-wave superconducting
phases of the slave fermions, with nodal lines which, respectively, do not or
do intersect the Fermi surface. The non-Abelian Ising anyon phase is a
superconducting phase which occurs when the B phase is subjected to a
gap-opening magnetic field. We also discuss the transitions between these
phases in this language
Renormalization Group Equation and QCD Coupling Constant in the Presence of SU(3) Chromo-Electric Field
We solve renormalization group equation in QCD in the presence of SU(3)
constant chromo-electric field E^a with arbitrary color index a=1,2,...8 and
find that the QCD coupling constant \alpha_s depends on two independent
casimir/gauge invariants C_1=[E^aE^a] and C_2=[d_{abc}E^aE^bE^c]^2 instead of
one gauge invariant C_1=[E^aE^a]. The \beta function is derived from the
one-loop effective action. This coupling constant may be useful to study hadron
formation from color flux tubes/strings at high energy colliders and to study
quark-gluon plasma formation at RHIC and LHC.Comment: 13 pages latex, 4 eps figs, Eur. Phys. J.
Measurement-Only Topological Quantum Computation
We remove the need to physically transport computational anyons around each
other from the implementation of computational gates in topological quantum
computing. By using an anyonic analog of quantum state teleportation, we show
how the braiding transformations used to generate computational gates may be
produced through a series of topological charge measurements.Comment: 5 pages, 2 figures; v2: clarifying changes made to conform to the
version published in PR
Fragmentation Function in Non-Equilibrium QCD Using Closed-Time Path Integral Formalism
In this paper we implement Schwinger-Keldysh closed-time path integral
formalism in non-equilibrium QCD to the definition of Collins-Soper
fragmentation function. We consider a high p_T parton in QCD medium at initial
time t_0 with arbitrary non-equilibrium (non-isotropic) distribution function
f(\vec{p}) fragmenting to hadron. We formulate parton to hadron fragmentation
function in non-equilibrium QCD in the light-cone quantization formalism. It
may be possible to include final state interactions with the medium via
modification of the Wilson lines in this definition of the non-equilibrium
fragmentation function. This may be relevant to study hadron production from
quark-gluon plasma at RHIC and LHC.Comment: 15 pages latex, Accepted for Publication in European Physical Journal
General relativistic treatment of LISA optical links
LISA is a joint space mission of the NASA and the ESA for detecting low
frequency gravitational waves in the band Hz. In order to attain
the requisite sensitivity for LISA, the laser frequency noise must be
suppressed below the other secondary noises such as the optical path noise,
acceleration noise etc. This is achieved by combining time-delayed data for
which precise knowledge of time-delays is required. The gravitational field,
mainly that of the Sun and the motion of LISA affect the time-delays and the
optical links. Further, the effect of the gravitational field of the Earth on
the orbits of spacecraft is included. This leads to additional flexing over and
above that of the Sun. We have written a numerical code which computes the
optical links, that is, the time-delays with great accuracy
metres - more than what is required for time delay interferometry (TDI) - for
most of the orbit and with sufficient accuracy within metres for an
integrated time window of about six days, when one of the arms tends to be
tangent to the orbit. Our analysis of the optical links is fully general
relativistic and the numerical code takes into account effects such as the
Sagnac, Shapiro delay, etc.. We show that with the deemed parameters in the
design of LISA, there are symmetries inherent in the configuration of LISA and
in the physics, which may be used effectively to suppress the residual laser
noise in the modified first generation TDI. We demonstrate our results for some
important TDI variables
Towards Universal Topological Quantum Computation in the Fractional Quantum Hall State
The Pfaffian state, which may describe the quantized Hall plateau observed at
Landau level filling fraction , can support topologically-protected
qubits with extremely low error rates. Braiding operations also allow perfect
implementation of certain unitary transformations of these qubits. However, in
the case of the Pfaffian state, this set of unitary operations is not quite
sufficient for universal quantum computation (i.e. is not dense in the unitary
group). If some topologically unprotected operations are also used, then the
Pfaffian state supports universal quantum computation, albeit with some
operations which require error correction. On the other hand, if certain
topology-changing operations can be implemented, then fully
topologically-protected universal quantum computation is possible. In order to
accomplish this, it is necessary to measure the interference between
quasiparticle trajectories which encircle other moving trajectories in a
time-dependent Hall droplet geometry.Comment: A related paper, cond-mat/0512072, explains the topological issues in
greater detail. It may help the reader to look at this alternate presentation
if confused about any poin
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