1,018 research outputs found
Josephson junctions with negative second harmonic in the current-phase relation: properties of novel varphi-junctions
Several recent experiments revealed a change of the sign of the first
harmonic in the current-phase relation of Josephson junctions (JJ) based on
novel superconductors, e.g., d-wave based or JJ with ferromagnetic barrier. In
this situation the role of the second harmonic becomes dominant and it
determines the scenario of a 0-pi transition. We discuss different mechanisms
of the second harmonic generation and its sign. If the second harmonic is
negative the 0-pi transition becomes continuous and the realization of the
so-called varphi junction is possible. We study the unusual properties of such
a novel JJ and analyze the possible experimental techniques for their
observation.Comment: submitted to PR
Time-Dependent Symmetries of Variable-Coefficient Evolution Equations and Graded Lie Algebras
Polynomial-in-time dependent symmetries are analysed for polynomial-in-time
dependent evolution equations. Graded Lie algebras, especially Virasoro
algebras, are used to construct nonlinear variable-coefficient evolution
equations, both in 1+1 dimensions and in 2+1 dimensions, which possess
higher-degree polynomial-in-time dependent symmetries. The theory also provides
a kind of new realisation of graded Lie algebras. Some illustrative examples
are given.Comment: 11 pages, latex, to appear in J. Phys. A: Math. Ge
Solitons in the Yakushevich model of DNA beyond the contact approximation
The Yakushevich model of DNA torsion dynamics supports soliton solutions,
which are supposed to be of special interest for DNA transcription. In the
discussion of the model, one usually adopts the approximation ,
where is a parameter related to the equilibrium distance between bases
in a Watson-Crick pair. Here we analyze the Yakushevich model without . The model still supports soliton solutions indexed by two winding
numbers ; we discuss in detail the fundamental solitons, corresponding
to winding numbers (1,0) and (0,1) respectively
A New Nonlinear Liquid Drop Model. Clusters as Solitons on The Nuclear Surface
By introducing in the hydrodynamic model, i.e. in the hydrodynamic equations
and the corresponding boundary conditions, the higher order terms in the
deviation of the shape, we obtain in the second order the Korteweg de Vries
equation (KdV). The same equation is obtained by introducing in the liquid drop
model (LDM), i.e. in the kinetic, surface and Coulomb terms, the higher terms
in the second order. The KdV equation has the cnoidal waves as steady-state
solutions. These waves could describe the small anharmonic vibrations of
spherical nuclei up to the solitary waves. The solitons could describe the
preformation of clusters on the nuclear surface. We apply this nonlinear liquid
drop model to the alpha formation in heavy nuclei. We find an additional
minimum in the total energy of such systems, corresponding to the solitons as
clusters on the nuclear surface. By introducing the shell effects we choose
this minimum to be degenerated with the ground state. The spectroscopic factor
is given by the ratio of the square amplitudes in the two minima.Comment: 27 pages, LateX, 8 figures, Submitted J. Phys. G: Nucl. Part. Phys.,
PACS: 23.60.+e, 21.60.Gx, 24.30.-v, 25.70.e
Finite-temperature correlations in the one-dimensional trapped and untrapped Bose gases
We calculate the dynamic single-particle and many-particle correlation
functions at non-zero temperature in one-dimensional trapped repulsive Bose
gases. The decay for increasing distance between the points of these
correlation functions is governed by a scaling exponent that has a universal
expression in terms of observed quantities. This expression is valid in the
weak-interaction Gross-Pitaevskii as well as in the strong-interaction
Girardeau-Tonks limit, but the observed quantities involved depend on the
interaction strength. The confining trap introduces a weak center-of-mass
dependence in the scaling exponent. We also conjecture results for the
density-density correlation function.Comment: 18 pages, Latex, Revtex
A Study Of A New Class Of Discrete Nonlinear Schroedinger Equations
A new class of 1D discrete nonlinear Schrdinger Hamiltonians
with tunable nonlinerities is introduced, which includes the integrable
Ablowitz-Ladik system as a limit. A new subset of equations, which are derived
from these Hamiltonians using a generalized definition of Poisson brackets, and
collectively refered to as the N-AL equation, is studied. The symmetry
properties of the equation are discussed. These equations are shown to possess
propagating localized solutions, having the continuous translational symmetry
of the one-soliton solution of the Ablowitz-Ladik nonlinear
Schrdinger equation. The N-AL systems are shown to be suitable
to study the combined effect of the dynamical imbalance of nonlinearity and
dispersion and the Peierls-Nabarro potential, arising from the lattice
discreteness, on the propagating solitary wave like profiles. A perturbative
analysis shows that the N-AL systems can have discrete breather solutions, due
to the presence of saddle center bifurcations in phase portraits. The
unstaggered localized states are shown to have positive effective mass. On the
other hand, large width but small amplitude staggered localized states have
negative effective mass. The collison dynamics of two colliding solitary wave
profiles are studied numerically. Notwithstanding colliding solitary wave
profiles are seen to exhibit nontrivial nonsolitonic interactions, certain
universal features are observed in the collison dynamics. Future scopes of this
work and possible applications of the N-AL systems are discussed.Comment: 17 pages, 15 figures, revtex4, xmgr, gn
Cavity-induced coherence effects in spontaneous emission from pre-Selection of polarization
Spontaneous emission can create coherences in a multilevel atom having close
lying levels, subject to the condition that the atomic dipole matrix elements
are non-orthogonal. This condition is rarely met in atomic systems. We report
the possibility of bypassing this condition and thereby creating coherences by
letting the atom with orthogonal dipoles to interact with the vacuum of a
pre-selected polarized cavity mode rather than the free space vacuum. We derive
a master equation for the reduced density operator of a model four level atomic
system, and obtain its analytical solution to describe the interference
effects. We report the quantum beat structure in the populations.Comment: 6 pages in REVTEX multicolumn format, 5 figures, new references
added, journal reference adde
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