180 citations · 327 across the 6 of their papers we have counts for
6 papers
Contact manifolds and dissipation, classical and quantum
Florio M. Ciaglia, Hans Cruz, Giuseppe Marmo
Motivated by a geometric decomposition of the vector field associated with the Gorini-Kossakowski-Lindblad-Sudarshan (GKLS) equation for finite-level open quantum systems, we propo…
Time-dependent local-to-normal mode transition in triatomic molecules
Hans Cruz, Marisol Bermúdez-Montaña, Renato Lemus
Time-evolution of the vibrational states of two interacting harmonic oscillators in the local mode scheme is presented. A local-to-normal mode transition (LNT) is identified and st…
Contact Hamiltonian Mechanics
Alessandro Bravetti, Hans Cruz, Diego Tapias
In this work we introduce contact Hamiltonian mechanics, an extension of symplectic Hamiltonian mechanics, and show that it is a natural candidate for a geometric description of no…
Time-evolution of quantum systems via a complex nonlinear Riccati equation II. Dissipative systems
Hans Cruz, Dieter Schuch, Octavio Castanos +1
In our former contribution [Ann. Phys. 360 (2015) 44], we have shown the sensitivity to the choice of initial conditions in the evolution of Gaussian wave packets via the nonlinear…
Time-evolution of quantum systems via a complex nonlinear Riccati equation. I. Conservative systems with time-independent Hamiltonian
Hans Cruz, Dieter Schuch, Octavio Castaños +1
The sensitivity of the evolution of quantum uncertainties to the choice of the initial conditions is shown via a complex nonlinear Riccati equation leading to a reformulation of qu…
Mixed symmetry localized modes and breathers in binary mixtures of Bose-Einstein condensates in optical lattices
H. A. Cruz, V. A. Brazhnyi, V. V. Konotop +2
We study localized modes in binary mixtures of Bose-Einstein condensates embedded in one-dimensional optical lattices. We report a diversity of asymmetric modes and investigate the…