80 citations · 429 across the 45 of their papers we have counts for
10 papers · 1 filter
Limits on the atomic description of four-wave mixing
Irvin F. Ángeles-Aguillón, Nieves Arias-Téllez, Pablo Yanes-Thomas +2
The limits of the well-established single-atom model for describing photon-pair generation via four-wave mixing in a diamond configuration in atomic ensembles are experimentally te…
A Lie-Jordan Geometric Formulation of Lindblad Dynamics
Leonel Bixano, Victor Alberto Cruz-Barriguete, Guillermo López-Alvarez +3
We develop a Lie-Jordan geometric formulation of finite-dimensional open quantum dynamics, building on the algebraic framework introduced in our previous work (arXiv:2606.26477). T…
Algebraic structures of the Lindblad equation
Leonel Bixano, Guillermo López-Alvarez, Victor Alberto Cruz-Barriguete +4
We investigate the algebraic structure underlying the Lindblad equation for finite-dimensional open quantum systems. By introducing a suitable operator representation of the Liouvi…
Collective coupling of driven multilevel atoms and its effect on four-wave mixing
P. Yanes-Thomas, R. Gutiérrez-Jáuregui, P. Barberis-Blostein +3
Microscopic models based on multilevel atoms are central to optimizing non-linear optical responses and the coherent control of light. These models are traditionally based on singl…
Vectorization of the density matrix and quantum simulation of the von Neumann equation of time-dependent Hamiltonians
Alejandro Kunold
Based oh the properties of Lie algebras, in this work we develop a general framework to linearize the von-Neumann equation rendering it in a suitable form for quantum simulations.…
Method for finding the exact effective Hamiltonian of time driven quantum systems
J. C. Sandoval-Santana, V. G. Ibarra-Sierra, J. L. Cardoso +3
Time-driven quantum systems are important in many different fields of physics like cold atoms, solid state, optics, etc. Many of their properties are encoded in the time evolution…