Browsing by Autor "M. Calcina-Nogales"

Now showing 1 - 4 of 4

Effective quantum Hamiltonian for a two-mesh LC circuit with discrete charge: Managing of currents and voltages
(World Scientific, 2022) M. Calcina-Nogales; Diego Sanjinés; E. Mamani
In this paper, we study the dynamics of a quantum two-mesh LC circuit with discrete charge subject to rapidly oscillating voltage sources. A time-independent effective Hamiltonian for this system is derived in a high-frequency series expansion upto [Formula: see text] whose dominant behavior indicates the possibility of observing two physical phenomena: first, the controlled manipulation and suppression of the mesh currents by setting specific values of the voltage source amplitudes and, second, the onset of a DC regime (in the single–mesh case) which could be inferred by interpreting the quasi-degenerate quantum states.
Griffith theory of physical fractures, statistical procedures and entropy production: Rosetta stone’s legacy
(Public Library of Science, 2023) M. Calcina-Nogales; Boris Atenas; J.C. Flores
A physical model, based on energy balances, is proposed to describe the fractures in solid structures such as stelae, tiles, glass, and others. We applied the model to investigate the transition of the Rosetta Stone from the original state to the final state with three major fractures. We consider a statistical corner-breaking model with cutting rules. We obtain a probability distribution as a function of the area and the number of vertices. Our generic results are consistent with the current state of the Rosetta Stone and, additionally, predictions related to a fourth fracture are declared. The loss of information on such heritage pieces is considered through entropy production. The explicit quantification of this concept in information theory stays examined.
HAMILTONIANO EFECTIVO DE UNA RED CUADRADA DE ENLACE FUERTE Y SU RELACIÓN CON UN CIRCUITO LC DE DOS MALLAS CON CARGA DISCRETA
(2021) EVARISTO MAMANI CARLO; M. Calcina-Nogales; DIEGO SANJINÉS CASTEDO
We consider an extended tight-binding Hamiltonian function comprising nearest and next-to-nearest neighbor interactions for a charged particle hopping in a square lattice in the presence of a static arbitrary field and a rapidly oscillating uniform field with frequency ω. The application of the semiclassical method and the Kapitza’s method for time-averaging up to O(ω-2) yields an effective (time independent) Hamiltonian function with long range hopping elements that depend on the parameters of the external fields. By controlling these parameters we can engineer the interactions in such a way as to emulate a different physical system, namely, a two-mesh LC circuit with discrete charge.
Long-range effective interactions in a lattice in the semiclassical approximation
(World Scientific, 2017) Evaristo Mamani; M. Calcina-Nogales; Diego Sanjinés
We consider the semiclassical model of an extended tight-binding Hamiltonian comprising nearest- and next-to-nearest-neighbor interactions for a charged particle hopping in a lattice in the presence of a static arbitrary field and a rapidly oscillating uniform field. The application of Kapitza’s method yields a time-independent effective Hamiltonian with long-range hopping elements that depend on the external static and oscillating fields. Our calculations show that the semiclassical approximation is quite reliable as it yields, for a homogeneous oscillating field, the same effective hopping elements as those derived within the quantum approach. Besides, by controlling the oscillating field, we can engineer the interactions so as to suppress the otherwise dominant interactions (nearest neighbors) and leave as observable effects those due to the otherwise remanent interactions (distant neighbors).