Nonlinear Transport: in Hamiltonian Pump-Ratchet Hybrids

The pumps and ratchets are benchmark prototypes of systems that generate directed trans- port. In this work we introduce a possible hybrid between these systems, using a model in a Hamiltonian fashion, that combines a spatially periodic static potential with a local driving, with different possibili...

Full description

Autores:
Medina Sánchez, Nicolás
Tipo de recurso:
Fecha de publicación:
2019
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/77059
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/77059
http://bdigital.unal.edu.co/74382/
Palabra clave:
Pump
Ratchet
Directed Transport
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:The pumps and ratchets are benchmark prototypes of systems that generate directed trans- port. In this work we introduce a possible hybrid between these systems, using a model in a Hamiltonian fashion, that combines a spatially periodic static potential with a local driving, with different possibilities of space inversion and time reversal symmetry breaking. In this way, we found manifestations of irregular scattering that leads to net current generation for three types of general models of punchets found, in terms of the way they break the symmetries. Also, is showed how this currents depends on the symmetry manipulation parameters of the model. Further, an approximation to the quantum version of punchets shows discrete energy shifts induced by the periodic time-dependence of the driving as long as asymptotic Bloch states scatters.