3 papers · 1 filter
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…