87 citations · 393 across the 23 of their papers we have counts for
23 papers
Uhlmann phase in composite systems with entanglement
J. Villavicencio, E. Cota, F. Rojas +2
We study the geometric Uhlmann phase of entangled mixed states in a composite system made of two coupled spin- particles with a magnetic field acting on one of them. Wit…
Transient quantum beats, Rabi-oscillations and delay-time of modulated matter-waves
Jorge Villavicencio, Alberto Hernández-Maldonado
Transient phenomena of phase modulated cut-off wavepackets are explored by deriving an exact general solution to Schrödinger's equation for finite range potentials involving arbitr…
Zitterbewegung and Klein-tunneling phenomena for transient quantum waves
Fernando Nieto-Guadarrama, Jorge Villavicencio
We explore the dynamics of relativistic quantum waves in a potential step by using an exact solution to the Klein-Gordon equation with a point source initial condition. We show tha…
Time-diffraction and Zitterbewegung of two-dimensional massless Dirac excitations
Elmer Cruz, Ramon Carrillo-Bastos, Jorge Villavicencio
We explore the dynamics of two-dimensional massless Dirac-fermions within a quantum shutter approach, which involves the time-evolution of an initial cut-off plane wave. We show th…
Heisenberg uncertainty relations for the non-Hermitian resonance state solutions to the Schrödinger equation
Gastón García-Calderón, Jorge Villavicencio
Resonance (quasinormal) states correspond to non-Hermitian solutions to the Schrödinger equation obeying outgoing boundary conditions which lead to complex energy eigenvalues and m…
Hermitian and non-Hermitian formulations of the time evolution of quantum decay
Gastón García-Calderón, Alejandro Máttar, Jorge Villavicencio
This work discusses Hermitian and non-Hermitian formulations for the time evolution of quantum decay, that involve respectively, continuum wave functions and resonant states, to sh…