640 research outputs found
Invariants and Coherent States for Nonstationary Fermionic Forced Oscillator
The most general form of Hamiltonian that preserves fermionic coherent states
stable in time is found in the form of nonstationary fermion oscillator.
Invariant creation and annihilation operators and related Fock states and
coherent states are built up for the more general system of nonstationary
forced fermion oscillator.Comment: 13 pages, Latex, no figure
Generating and Revealing a Quantum Superposition of Electromagnetic Field Binomial States in a Cavity
We introduce the -photon quantum superposition of two orthogonal
generalized binomial states of electromagnetic field. We then propose, using
resonant atom-cavity interactions, non-conditional schemes to generate and
reveal such a quantum superposition for the two-photon case in a single-mode
high- cavity. We finally discuss the implementation of the proposed schemes.Comment: 4 pages, 3 figures. Title changed (published version
Hermite Coherent States for Quadratic Refractive Index Optical Media
Producción CientÃficaLadder and shift operators are determined for the set of Hermite–Gaussian modes associated with an optical medium with quadratic refractive index profile. These operators allow to establish irreducible representations of the su(1, 1) and su(2) algebras. Glauber coherent states, as well as su(1, 1) and su(2) generalized coherent states, were constructed as solutions of differential equations admitting separation of variables. The dynamics of these coherent states along the optical axis is also evaluated.MINECO grant MTM2014-57129-C2-1-P and Junta de Castilla y Leon grant VA057U16
Coherent and squeezed states of quantum Heisenberg algebras
Starting from deformed quantum Heisenberg Lie algebras some realizations are
given in terms of the usual creation and annihilation operators of the standard
harmonic oscillator. Then the associated algebra eigenstates are computed and
give rise to new classes of deformed coherent and squeezed states. They are
parametrized by deformed algebra parameters and suitable redefinitions of them
as paragrassmann numbers. Some properties of these deformed states also are
analyzed.Comment: 32 pages, 3 figure
Statistics of Raman-Active Excitations via Masurement of Stokes-Anti-Stokes Correlations
A general fundamental relation connecting the correlation of Stokes and
anti-Stokes modes to the quantum statistical behavior of vibration and pump
modes in Raman-active materials is derived. We show that under certain
conditions this relation can be used to determine the equilibrium number
variance of phonons.Time and temperature ranges for which such conditions can
be satisfied are studied and found to be available in todays' experimental
standards. Furthermore, we examine the results in the presence of multi-mode
pump as well as for the coupling of pump to the many vibration modes and
discuss their validity in these cases.Comment: 12 pages, 1 figure, accepted for publication in Phys.Rev.
Leukocytes Breach Endothelial Barriers by Insertion of Nuclear Lobes and Disassembly of Endothelial Actin Filaments
Israel Science Foundation (grant 87/12)
Flight Attendant Medical Research Institute Foundation (FAMRI) (grant FAMRI032001_CoE), USA
Minerva Foundation, Germany
Wellcome Trust (grant 098291/Z/12/Z to S.N.
Approach to Perturbative Results in the N-Delta Transition
We show that constraints from perturbative QCD calculations play a role in
the nucleon to Delta(1232) electromagnetic transition even at moderate momentum
transfer scales. The pQCD constraints, tied to real photoproduction data and
unseparated resonance response functions, lead to explicit forms for the
helicity amplitudes wherein the E2/M1 ratio remains small at moderately large
momentum transfer.Comment: 4 pages, 2 figures, ReVTe
Interpolating Coherent States for Heisenberg-Weyl and Single-Photon SU(1,1) Algebras
New quantal states which interpolate between the coherent states of the
Heisenberg_Weyl and SU(1,1) algebras are introduced. The interpolating states
are obtained as the coherent states of a closed and symmetric algebra which
interpolates between the two algebras. The overcompleteness of the
interpolating coherent states is established. Differential operator
representations in suitable spaces of entire functions are given for the
generators of the algebra. A nonsymmetric set of operators to realize the
Heisenberg-Weyl algebra is provided and the relevant coherent states are
studied.Comment: 13 pages nd 5 ps figure
Soft pion theorem for hard near threshold pion production
We prove new soft pion theorem for the near threshold pion production by a
hard electromagnetic probe. This theorem relates various near threshold pion
production amplitudes to the nucleon distribution amplitudes. The new soft pion
theorem is in a good agreement with the SLAC data for F_2^p(W,Q^2) for W^2 <
1.4 GeV^2 and 7 < Q^2 < 30.7 GeV^2.Comment: 9 pages, revised version, more general analysi
Creating quanta with "annihilation" operator
An asymmetric nature of the boson `destruction' operator and its
`creation' partner is made apparent by applying them to a
quantum state different from the Fock state . We show that it is
possible to {\em increase} (by many times or by any quantity) the mean number
of quanta in the new `photon-subtracted' state . Moreover, for
certain `hyper-Poissonian' states the mean number of quanta in the
(normalized) state can be much greater than in the
`photon-added' state . The explanation of this
`paradox' is given and some examples elucidating the meaning of Mandel's
-parameter and the exponential phase operators are considered.Comment: 10 pages, LaTex, an extended version with several references added
and the text divided into sections; to appear in J. Phys.
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