Information-theoretic measure of uncertainty due to quantum and thermal fluctuations

Information-theoretic measure of uncertainty due to quantum and thermal fluctuations.

ABSTRACT: We study an information-theoretic measure of uncertainty for quantum systems. It is the Shannon information I of the phase space probability distribution 〈z|ρ|z〉, where |z〉 are coherent states, and ρ is the density matrix. As shown by Lieb and Wehrl, I ≥ 1, and this bound represents a strengthened version of the uncertainty principle. For a harmonic oscillator in a thermal state, I co...

Enhanced droplet spreading due to thermal fluctuations.

The lubrication equation that governs the dynamics of thin liquid films can be augmented to account for stochastic stresses associated with the thermal fluctuations of the fluid. It has been suggested that under certain conditions the spreading rate of a liquid drop on a surface will be increased by these stochastic stresses. Here, an atomistic simulation of a spreading drop is designed to exam...

Specificity of Intermolecular Forces Due to Quantum-mechanical and Thermal Charge Fluctuations.

Ordering Due to Quantum Fluctuations in Sr2Cu3O4Cl2

Sr2Cu3O4Cl2 has CuI and CuII subsystems, forming interpenetrating S=1/2 square lattice Heisenberg antiferromagnets. The classical ground state is degenerate, due to frustration of the intersubsystem interactions. Magnetic neutron scattering experiments show that quantum fluctuations cause a two dimensional Ising ordering of the CuII's, lifting the degeneracy, and a dramatic increase of the CuI ...

A measure theoretic approach to information retrieval

The vector space model of information retrieval is one of the classical and widely applied retrieval models. Paradoxically, it has been characterised by a discrepancy between its formal framework and implementable form. The underlying concepts of the vector space model are mathematical terms: linear space, vector, and inner product. However, in the vector space model, the mathematical meaning o...