119 citations · 331 across the 14 of their papers we have counts for
14 papers
Exact Markovian evolution of quantum systems with several degrees of freedom : Phase space representations
Aldo R. Fernandes Neto, Alfredo M. Ozorio de Almeida, Olivier Brodier
The exact solution of the Lindblad equation with a quadratic Hamiltonian and linear coupling operators was derived within the chord representation, that is, for the Fourier transfo…
The quantum canonical ensemble in phase space
Alfredo M. Ozorio de Almeida, Gert-Ludwig Ingold, Olivier Brodier
The density operator for a quantum system in thermal equilibrium with its environment depends on Planck's constant, as well as the temperature. At high temperatures, the Weyl repre…
Semi-classical work and quantum work identities in Weyl representation
O. Brodier, K. Mallick, A. M. Ozorio de Almeida
We derive a semi-classical nonequilibrium work identity by applying the Wigner-Weyl quantization scheme to the Jarzynski identity for a classical Hamiltonian. This allows us, to th…
Semiclassical evolution of correlations between observables
Alfredo M. Ozorio de Almeida, Olivier Brodier
The trace of an arbitrary product of quantum operators with the density operator is rendered as a multiple phase space integral of the product of their Weyl symbols with the Wigner…
A primer for resonant tunnelling
Jérémy Le Deunff, Olivier Brodier, Amaury Mouchet
Resonant tunnelling is studied numerically and analytically with the help of a three-well quantum one-dimensional time-independent model. The simplest cases are considered where th…
Complex WKB Evolution of Markovian Open Systems
O. Brodier, A. M. Ozorio de Almeida
We derive a semiclassical approximation for the evolution generated by the Lindblad equation as a generalization of complex WKB theory. Linear coupling to the environment is assume…