42 research outputs found
Quantum Tunneling and Phase Transitions in Spin Systems with an Applied Magnetic Field
Transitions from classical to quantum behaviour in a spin system with two
degenerate ground states separated by twin energy barriers which are asymmetric
due to an applied magnetic field are investigated. It is shown that these
transitions can be interpreted as first- or second-order phase transitions
depending on the anisotropy and magnetic parameters defining the system in an
effective Lagrangian description.Comment: 18 pages, 7 figure
N=2 String-String Duality and Holomorphic couplings
We review aspects of N=2 duality between the heterotic and the type IIA
string. After a description of string duality intended for the non-specialist
the computation of the heterotic prepotential and the function for the
ST, STU and STUV model (V a Wilson line) and the matching with the Calabi-Yau
instanton expansions are given in detail. Relations with BPS spectral sums in
various connections are pointed out.Comment: 86 pages, late
Significance of zero modes in path--integral quantization of solitonic theories with BRST invariance
The significance of zero modes in the path-integral quantization of some
solitonic models is investigated. In particular a Skyrme-like theory with
topological vortices in (1+2) dimensions is studied, and with a BRST invariant
gauge fixing a well defined transition amplitude is obtained in the one loop
approximation. We also present an alternative method which does not necessitate
evoking the time-dependence in the functional integral, but is equivalent to
the original one in dealing with the quantization in the background of the
static classical solution of the non-linear field equations. The considerations
given here are particularly useful in - but also limited to - the one-loop
approximation.Comment: 16 pages, LaTe
A condition for first order phase transitions in quantum mechanical tunneling models
A criterion is derived for the determination of parameter domains of first
order phase transitions in quantum mechanical tunneling models. The criterion
is tested by application to various models, in particular to some which have
been used recently to explore spin tunneling in macroscopic particles. In each
case agreement is found with previously heuristically determined domains.Comment: 13 pages, 5 figure
Dilute Instanton Gas of an O(3)Skyrme Model
The pure-Skyrme limit of a scale-breaking Skyrmed O(3) sigma model in 1+1 dimensions is employed to study the effect of the Skyrme term on the semiclassical analysis of a field theory with instantons. The instantons of this model are self-dual and can be evaluated explicitly. They are also localised to an absolute scale, and their fluctuation action can be reduced to a scalar subsystem. This permits the explicit calculation of the fluctuation determinant and the shift in vacuum energy due to instantons. The model also illustrates the semiclassical quantisation of a Skyrmed field theory
Enhancement of Quantum Tunneling for Excited States in Ferromagnetic Particles
A formula suitable for a quantitative evaluation of the tunneling effect in a
ferromagnetic particle is derived with the help of the instanton method. The
tunneling between n-th degenerate states of neighboring wells is dominated by a
periodic pseudoparticle configuration. The low-lying level-splitting previously
obtained with the LSZ method in field theory in which the tunneling is viewed
as the transition of n bosons induced by the usual (vacuum) instanton is
recovered. The observation made with our new result is that the tunneling
effect increases at excited states. The results should be useful in analyzing
results of experimental tests of macroscopic quantum coherence in ferromagnetic
particles.Comment: 18 pages, LaTex, 1 figur
Quantum-Classical Transition of the Escape Rate of a Uniaxial Spin System in an Arbitrarily Directed Field
The escape rate \Gamma of the large-spin model described by the Hamiltonian H
= -DS_z^2 - H_zS_z - H_xS_x is investigated with the help of the mapping onto a
particle moving in a double-well potential U(x). The transition-state method
yields in the moderate-damping case as a Boltzmann average of the
quantum transition probabilities. We have shown that the transition from the
classical to quantum regimes with lowering temperature is of the first order
(d\Gamma/dT discontinuous at the transition temperature T_0) for h_x below the
phase boundary line h_x=h_{xc}(h_z), where h_{x,z}\equiv H_{x,z}/(2SD), and of
the second order above this line. In the unbiased case (H_z=0) the result is
h_{xc}(0)=1/4, i.e., one fourth of the metastability boundary h_{xm}=1, at
which the barrier disappears. In the strongly biased limit \delta\equiv 1-h_z
<< 1, one has h_{xc} \cong (2/3)^{3/4}(\sqrt{3}-\sqrt{2})\delta^{3/2}\cong
0.2345 \delta^{3/2}, which is about one half of the boundary value h_{xm} \cong
(2\delta/3)^{3/2} \cong 0.5443 \delta^{3/2}.The latter case is relevant for
experiments on small magnetic particles, where the barrier should be lowered to
achieve measurable quantum escape rates.Comment: 17 PR pages, 16 figures; published versio
Erzeugung und Untersuchung eines sphaerischen, lasererzeugten Targetplasmas
SIGLETIB Hannover: DR 4818 / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman
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