20 citations
5 papers
Intermediate quantum maps for quantum computation
O. Giraud, B. Georgeot
We study quantum maps displaying spectral statistics intermediate between Poisson and Wigner-Dyson. It is shown that they can be simulated on a quantum computer with a small number…
How to determine model Hamiltonians for strongly correlated materials
Marie-Bernadette Lepetit
The present paper reviews recent achievements on the ab initio determination of effective model Hamiltonians aimed at the description of strongly correlated materials. These models…
Phonon modes in the Frenkel-Kontorova chain: exponential localization and the number theory properties of frequency bands
O. V. Zhirov, G. Casati, D. L. Shepelyansky
We study numerically phonon modes of the classical one-dimensional Frenkel-Kontorova chain, in the regime of pinned phase characterized by the phonon gap and devil's staircase, as…
Theoretical studies of the phase transition in the anisotropic 2-D square spin lattice
Mohamad Al Hajj, Nathalie Guihery, Jean-Paul Malrieu +1
The phase transition occurring in a square 2-D spin lattice governed by an anisotropic Heisenberg Hamiltonian has been studied according to two recently proposed methods. The first…
Quantum computation and analysis of Wigner and Husimi functions: toward a quantum image treatment
M. Terraneo, B. Georgeot, D. L. Shepelyansky
We study the efficiency of quantum algorithms which aim at obtaining phase space distribution functions of quantum systems. Wigner and Husimi functions are considered. Different qu…