21,270 research outputs found
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
EPR spectrum via entangled states for an Exchange-Coupled Dimer of Single-Molecule Magnets
Multi-high-frequency electron paramagnetic resonance(EPR) spectrum for a
supermolecular dimer of single-molecule magnets recently reported
[S. Hill, R. S. Edwards, N. Aliaga-Alcalde and G. Christou(HEAC), Science 302,
1015 (2003)] is studied in terms of the perturbation method in which the
high-order corrections to the level splittings of degenerate states are
included. It is shown that the corresponding eigenvectors are composed of
entangled states of two molecules. The EPR-peak positions are calculated in
terms of the eigenstates at various frequencies.
From the best fit of theoretical level splittings with the measured values we
obtain the anisotropy constant and exchange coupling which are in agreement
with the corresponding values of experimental observation. Our study confirms
the prediction of HEAC that the two units within the dimer are coupled
quantum mechanically by the antiferromagnetic exchange interaction and the
supermolecular dimer behaviors in analogy with artificially fabricated quantum
dots.Comment: 16 pages,2 figures, 2 table
Quantum Phase Interference for Quantum Tunneling in Spin Systems
The point-particle-like Hamiltonian of a biaxial spin particle with external
magnetic field along the hard axis is obtained in terms of the potential field
description of spin systems with exact spin-coordinate correspondence. The
Zeeman energy term turns out to be an effective gauge potential which leads to
a nonintegrable pha se of the Euclidean Feynman propagator.
The phase interference between clockwise and anticlockwise under barrier
propagations is recognized explicitly as the Aharonov-Bohm effect. An
additional phase which is significant for quantum phase interference is
discovered with the quantum theory of spin systems besides the known phase
obtained with the semiclassical treatment of spin. We also show the energ y
dependence of the effect and obtain the tunneling splitting at excited states
with the help of periodic instantons.Comment: 19 pages, no figure, to appear in PR
Winding number transitions at finite temperature in the Abelian-Higgs model
Following our earlier investigations we examine the quantum-classical winding
number transition in the Abelian-Higgs system. It is demonstrated that the
sphaleron transition in this system is of the smooth second order type in the
full range of parameter space. Comparison of the action of classical vortices
with that of the sphaleron supports our finding.Comment: final version, to appear in J. Phys.
The Wess-Zumino term and quantum tunneling
The significance of the Wess--Zumino term in spin tunneling is explored, and
a formula is established for the splitting of energy levels of a particle with
large fermionic spin as an applied magnetic field is switched on.Comment: Latex, 7 page
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