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TUNNELING EFFECT BASED ON THE NELSON'S QUANTUM STOCHASTIC PROCESS APPROACH: COMPARISON WITH A NEUTRON SPIN ECHO EXPERIMENT

T. Hashimoto, Takeo Tomomura

Published May 1, 2001• 1 citation
Publisher
DOI
10.1142/9789812810267_0003

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A generalization of Grover's algorithm, L. Accardi and R. Sabbadini characterization of product measures by an integrability condition, N. Asai tunnelling effect based on the Nelson's quantum stochastic process approach - comparison with a neutron spin echo experiment, T. Hasimoto and T. Tomomura Gibbs state, quadratic embedding and central limit theorem on large graphs, A. Hora algebraic stochastic differential equations and a Fubini theorem for symmetrized double quantum stochastic product integrals, R.L. Hudson some properties of a random field derived by variational calculus, K.S. Lee a stochastic expression of a semi-group generated by the Levy Laplacian, K. Nishi et al quantum logical gate based on electron spin resonance, M. Ohya et al. (Part contents).
Complex interactions in quantum magnets lead to a variety of phases with manifold correlations, which are measurable at temperatures very low compared to the energy scale of the system. The common expectation is that quantum effects are just suppressed upon increasing temperature due to the additional thermal fluctuations. However, recent inelastic neutron scattering investigations in one- and three-dimensional compounds indicate that interplay between quantum and thermal effects is much more complicated. By combining high-resolution neutron resonance spin-echo measurements with diagrammatic perturbation theory, the authors show that anomalous decoherence effects can also be observed in the time domain, the natural domain for decaying correlations. This offers a complementary view on this phenomenon, allowing for a direct comparison between experimental data and theoretical prediction without the need for intensive data analysis. The specific form of the echo amplitude, in combination with the temperature dependence of the spectral weight, provides a smoking gun signature for nontrivial scattering processes of hard-core bosonic excitations.