6 papers
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…
Polarization-controlled effective Rabi dynamics in driven Graphene: A Floquet-Magnus approach
V. G. Ibarra-Sierra, J. L. Cardoso, C. Flores-Valente +2
Polarization ellipticity and the relative angle between electron momentum and driving field act as independent control parameters for coherent dynamics in periodically dr…
MultiAtomLiouvilleEquationGenerator: A Mathematica package for Liouville superoperators and master equations of multilevel atomic systems
Pablo Yanes-Thomas, RocÃo Jáuregui-Renaud, Santiago F. Caballero-BenÃtez +2
MulAtoLEG (Multi-Atom Liouville Equation Generator) is an open-source Mathematica package for generating Liouville superoperators and Liouville equations, specialized for multileve…
The thermodynamics of liquid-vapor coexistence for a van der Waals fluid. Analytical solution of the Clausius-Clapeyron equation
J. L. Cardoso, V. G. Ibarra-Sierra, J. C. Sandoval-Santana +1
This work presents a pedagogical derivation of the thermodynamics of a van der Waals fluid by explicitly incorporating pairwise molecular interactions and the finite size of partic…
When Adiabaticity Is Not Enough to Study Topological Phases in Solid-State Physics: Comparing the Berry and Aharonov-Anandan Phases in 2D Materials
Abdiel de Jesús Espinosa-Champo, Alejandro Kunold, Gerardo G. Naumis
Topological phases emerge as the parameters of a quantum system vary with time. Under the adiabatic approximation, the time dependence can be eliminated, allowing the Berry topolog…