36 citations · 75 across the 9 of their papers we have counts for
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Quantum Dynamics Generated by Long-Range Interactions for Lattice Fermions and Quantum Spins
J. -B. Bru, W. de Siqueira Pedra
We study the macroscopic dynamics of fermion and quantum-spin systems with long-range, or mean-field, interactions, which turns out to be equivalent to an intricate combination of…
Classical Dynamics Generated by Long-Range Interactions for Lattice Fermions and Quantum Spins
J. -B. Bru, W. de Siqueira Pedra
We study the macroscopic dynamical properties of fermion and quantum-spin systems with long-range, or mean-field, interactions. The results obtained are far beyond previous ones an…
Accuracy of Classical Conductivity Theory at Atomic Scales for Free Fermions in Disordered Media
N. J. B. Aza, J. -B. Bru, W. de Siqueira Pedra +1
The growing need for smaller electronic components has recently sparked the interest in the breakdown of the classical conductivity theory near the atomic scale, at which quantum e…
Noncommutative Lp-Spaces and Perturbations of KMS States
R. Correa da Silva
We extend the theory of perturbations of KMS states to some class of unbounded perturbations using noncommutative Lp-spaces. We also prove certain stability of the domain of the Mo…
From the 2nd Law of Thermodynamics to AC-Conductivity Measures of Interacting Fermions in Disordered Media
J. -B. Bru, W. de Siqueira Pedra
We study the dynamics of interacting lattice fermions with random hopping amplitudes and random static potentials, in presence of time-dependent electromagnetic fields. The interpa…
Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory
J. -B. Bru, W. de Siqueira Pedra
We generalize to multi-commutators the usual Lieb-Robinson bounds for commutators. In the spirit of constructive QFT, this is done so as to allow the use of combinatorics of minima…