IFEG   20353
INSTITUTO DE FISICA ENRIQUE GAVIOLA
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Quantum synchronization in tight binding systems:\\Studies on dynamical properties and electronic transport.
Autor/es:
AXEL D. DENTE; HORACIO M. PASTAWSKI
Lugar:
Trieste
Reunión:
Conferencia; New Trends in Quantum Dynamics and Entanglement; 2011
Resumen:
The synchronization phenomena appears in many fields of physics. Usually it is taken as an emergence phenomenon in complex systems. The oldest example of Huygens's sympathy of clocks [1] (two pendulum clocks with different frequencies and phases, placed over a table, oscillates in unison) is an example of "few body" synchronization. By using quantum-classical analogies we study properties of the "quantum synchronization". In this work we analyze the quantum sync phenomena in tight binding systems and the electronic transport through these systems. The Green functions formalism were used to investigate the dynamical behavior and the quantum electronic transport. One of the studied models is the two two-level system, for this case we will show that the non-analytical behavior of the Green function poles [2] represents the transition from a sync to a non-sync dynamics. The non-analytical points only are present when the thermodynamic limit is reached (i.e. when the tight binding system become infinite). This argument exhibits that dissipative systems are necessaries to observe the quantum synchronization. Additionally we made use symmetric and antisymmetric basis changes to explore the properties of the tight binding systems. We will show how the use of this "technique of basis transformation" made possible to compare resonances peaks in the electronic transport with Fano resonances [3]. [1] S. H. Strogatz, SYNC: The emerging Science of Spontaneous Order, Hyperion (2003). [2] A.D. Dente, R. A. Bustos-Marún and H. M. Pastawski,Dynamical regimes of a quantum swap gate beyond the Fermi Golden Rule, Phys. Rev. A78, 062116 (2008). [3] A. E. Miroshnichenko, et al. Fano resonances in nanoscale structure, Rev. Mod. Phys. 82, July-September (2010).