GKLS Vector Field Dynamics for Gaussian States

H Cruz-Prado, O Castaños, G Marmo… - arxiv preprint arxiv …, 2024 - arxiv.org
We construct the vector field associated with the GKLS generator for systems described by
Gaussian states. This vector field is defined on the dual space of the algebra of operators …

From geometry to coherent dissipative dynamics in quantum mechanics

H Cruz-Prado, A Bravetti, A Garcia-Chung - Quantum Reports, 2021 - mdpi.com
Starting from the geometric description of quantum systems, we propose a novel approach
to time-independent dissipative quantum processes according to which energy is dissipated …

Nonlinear differential dynamics of Gaussian States

JA López-Saldívar, MA Man'ko… - AIP Conference …, 2021 - pubs.aip.org
The dynamics of Gaussian states for systems with Hamiltonians, quadratic in the position
and momentum operators, gives rise to the definition of a system of nonlinear coupled …

Nonlinear description of quantum dynamics: Generalized coherent states

H Cruz-Prado, G Marmo, D Schuch… - Journal of Mathematical …, 2021 - pubs.aip.org
In this work, it is shown that there is an inherent nonlinear evolution in the dynamics of the so-
called generalized coherent states. To show this, the immersion of a classical manifold into …