9,013 research outputs found
Chiral-Yang-Mills theory, non commutative differential geometry, and the need for a Lie super-algebra
In Yang-Mills theory, the charges of the left and right massless Fermions are
independent of each other. We propose a new paradigm where we remove this
freedom and densify the algebraic structure of Yang-Mills theory by integrating
the scalar Higgs field into a new gauge-chiral 1-form which connects Fermions
of opposite chiralities. Using the Bianchi identity, we prove that the
corresponding covariant differential is associative if and only if we gauge a
Lie-Kac super-algebra. In this model, spontaneous symmetry breakdown naturally
occurs along an odd generator of the super-algebra and induces a representation
of the Connes-Lott non commutative differential geometry of the 2-point finite
space.Comment: 17 pages, no figur
An Infinite Dimensional Approach to the Third Fundamental Theorem of Lie
We revisit the third fundamental theorem of Lie (Lie III) for finite
dimensional Lie algebras in the context of infinite dimensional matrices.Comment: This is a contribution to the Proc. of the Seventh International
Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007,
Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry:
Methods and Applications) at http://www.emis.de/journals/SIGMA
Spectroscopy for cold atom gases in periodically phase-modulated optical lattices
The response of cold atom gases to small periodic phase modulation of an
optical lattice is discussed. For bosonic gases, the energy absorption rate is
given, within linear response theory, by imaginary part of the current
correlation function. For fermionic gases in a strong lattice potential, the
same correlation function can be probed via the production rate double
occupancy. The phase modulation gives thus direct access to the conductivity of
the system, as function of the modulation frequency. We give an example of
application in the case of one dimensional bosons at zero temperature and
discuss the link between the phase- and amplitude-modulation.Comment: 4 pages, 2 figures, final versio
A New Pseudopolymorph of Hexakis-(4-cynaophenyl)benzene
The title compound (systematic name: benzene-4,4′,4′′,4′′′,-4′′′′,4′′′′′-hexaylhexabenzonitrile dichloromethane disolvate), C48H24N6•2CH2Cl2, crystallizes as an inclusion compound during the slow diffusion of methanol into a solution of hexakis(4-cyanophenyl)benzene in CH2Cl2. The hexakis(4- cyanophenyl)benzene molecule lies on an axis of twofold rotation in the space group Pbcn. Weak C—H•••N interactions between hexakis(4-cyanophenyl)benzene molecules define an open network with space for including guests. The resulting structure is a new pseudopolymorph of hexakis-(4-cyanophenyl)benzene. The eight known pseudopolymorphs have few shared architectural features, in part because none of the intermolecular interactions that are present plays a dominant role or forces neighboring molecules to assume particular relative orientations
On transport in quantum Hall systems with constrictions
Motivated by recent experimental findings, we study transport in a simple
phenomenological model of a quantum Hall edge system with a gate-voltage
controlled constriction lowering the local filling factor. The current
backscattered from the constriction is seen to arise from the matching of the
properties of the edge-current excitations in the constriction () and
bulk () regions. We develop a hydrodynamic theory for bosonic edge
modes inspired by this model, finding that a competition between two tunneling
process, related by a quasiparticle-quasihole symmetry, determines the fate of
the low-bias transmission conductance. In this way, we find satisfactory
explanations for many recent puzzling experimental results.Comment: 4 pages, 4 figure
Exact wavefunctions for excitations of the nu=1/3 fractional quantum Hall state from a model Hamiltonian
We study fractional quantum Hall states in the cylinder geometry with open
boundaries. By truncating the Coulomb interactions between electrons we show
that it is possible to construct infinitely many exact eigenstates including
the ground state, quasiholes, quasielectrons and the magnetoroton branch of
excited states.Comment: 7 pages, 3 figures, longer published versio
Electric charge enhancements in carbon nanotubes: Theory and experiments
We present a detailed study of the static enhancement effects of electric
charges in micron-length single-walled carbon nanotubes, using theoretically an
atomic charge-dipole model and experimentally electrostatic force microscopy.
We demonstrate that nanotubes exhibit at their ends surprisingly weak charge
enhancements which decrease with the nanotube length and increase with the
nanotube radius. A quantitative agreement is obtained between theory and
experiments.Comment: 6 Fi
Quantum Non-Equilibrium Steady States Induced by Repeated Interactions
We study the steady state of a finite XX chain coupled at its boundaries to
quantum reservoirs made of free spins that interact one after the other with
the chain. The two-point correlations are calculated exactly and it is shown
that the steady state is completely characterized by the magnetization profile
and the associated current. Except at the boundary sites, the magnetization is
given by the average of the reservoirs' magnetizations. The steady state
current, proportional to the difference in the reservoirs' magnetizations,
shows a non-monotonous behavior with respect to the system-reservoir coupling
strength, with an optimal current state for a finite value of the coupling.
Moreover, we show that the steady state can be described by a generalized Gibbs
state.Comment: to appear in Phys. Rev. Let
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