35 citations · 195 across the 24 of their papers we have counts for
7 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…
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…
Singularities and internal rotational dynamics of electron beams
D. Velasco-Martínez, V. G. Ibarra-Sierra, J. C. Sandoval-Santana +2
We study the internal rotational dynamics of electronic beams in relation to the phase singularities of their wave functions. Given their complex singularity structure, Hermite-Gau…
Lie algebraic approach to quadratic Hamiltonians and the bi-dimensional charged particle in time-dependent electromagnetic field
V. G. Ibarra-Sierra, J. C. Sandoval-Santana, J. L. Cardoso +1
We discuss the one-dimensional, general quadratic Hamiltonian and the bi-dimensional charged particle in time-dependent electromagnetic fields through the Lie algebraic approach. S…
Unitary approach to the quantum forced harmonic oscillator
D. Velasco-Martinez, V. G. Ibarra-Sierra, J. C. Sandoval-Santana +2
In this paper we introduce an alternative approach to studying the evolution of a quantum harmonic oscillator subject to an arbitrary time dependent force. With the purpose of find…
Quantum and classical dissipation of charged particles
V. G. Ibarra-Sierra, A. Anzaldo-Meneses, J. L. Cardoso +3
A Hamiltonian approach is presented to study the two dimensional motion of damped electric charges in time dependent electromagnetic fields. The classical and the corresponding qua…