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A Mermin--Wagner theorem for quantum Gibbs states on 2D graphs, I
quantum bosonic system with continuous spins symmetry group the Feynman–Kac representation bi-dimensional graphs Gibbs states
2012/6/25
This is the the first of a series of papers considering properties of quantum systems over 2D graphs or manifolds, with continuous spins. In the model considered here the phase space of a single spin ...
Rotating states in driven clock- and XY-models
soft modes nonequilibrium dynamics Statistical Mechanics
2011/8/23
Abstract: We consider 3D active plane rotators, where the interaction between the spins is of XY-type and where each spin is driven to rotate. For the clock-model, when the spins take N\gg1 possible v...
Lipschitz-continuity of the integrated density of states for Gaussian random potentials
Lipschitz-continuity integrated density states for Gaussian random potentials
2011/1/17
The integrated density of states of a Schr¨odinger operator with random potential given by a homogeneous Gaussian field whose covariance function is continuous, compactly supported and has positive me...
Physical Equivalence of Pure States and Derivation of Qubit in General Probabilistic Theories
Physical Equivalence Pure States Derivation of Qubit General Probabilistic Theories
2011/3/4
In this paper, we investigate a characterization of Quantum Mechanics by two physical principles based on general probabilistic theories.
Existence of random gradient states
random interfaces gradient Gibbs measures disordered systems Green function
2011/2/24
We consider two versions of random gradient models. In model A) the interface feels a bulk
term of random fields while in model B) the disorder enters though the potential acting on the
gradients it...
Largest Schmidt eigenvalue of entangled random pure states and conductance distribution in chaotic cavities
Largest Schmidt eigenvalue entangled random pure states conductance distribution
2010/12/15
A strategy to evaluate the distribution of the largest Schmidt eigenvalue for entangled random pure states of bipartite systems is proposed. We point out that the multiple integral defining the sought...