NONLINEAR TRANSPORT · Nonlinear Transport and Tunneling in Low Dimensional Lattices
FP6 — Marie Curie Actions (Human Resources and Mobility)
- Duration
- 2005-12-01 → 2006-11-30
- EU contribution
- €98,704
- Participants
- 1
- Scheme
- IIF
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Results in brief
Final Activity Report Summary - NONLINEAR TRANSPORT (Nonlinear transport and tunneling in low dimensional lattices)
General theoretical approaches for boundary driven nonlinear transport and tunnelling processes have been developed and their applications to various realistic nonlinear physical systems have been pointed out. Particularly, we have predicted the conditions for the realisation of macroscopic tunnelling effects in optical waveguide arrays, Josephson junction parallel arrays and Bose-Einstein condensates in optical lattices. We discovered that our theoretical findings can lead to technological advances in the creation of novel all optical switching and amplifying devices and, moreover, similar devices are proposed for mesoscopic systems (long Josephson junctions and quantum Hall bilayers) for the amplification of ultra weak signals. In our publications on these topics we discuss how to estimate physical parameters and how to choose appropriate sample geometries. All this will find applications in spintronics and quantum computing. Besides that, we discovered the coexistence of Josephson oscillations and a novel self trapping regime in the same system. Based on this discovery, we have proposed to examine the same effect in the case of Bose-Einstein condensates in engineered optical lattices (since both waveguide arrays and Bose-Einstein condensates are described by the nonlinear Schroedinger equation). Moreover, the fellow together with the colleagues from Tbilisi State University started the studies of various exotic phenomena related with beam splitting dependence upon the spectral width. It appears that the stochasticity of the injected beam greatly affects its propagation behaviour. These studies serve as a basis of the ongoing collaboration and establishment of the competitive research team in Georgia.
Data: CORDIS, © European Union
Project objective
A one year collaboration of the proposed researcher with the Italian Host is planned in order to develop general theoretical approaches to boundary driven nonlinear transport phenomena and tunneling processes and to seek for applications in various realist ic nonlinear physical systems. In particular, this proposal intends to generalize the transmission hysteresis effect, that we discovered in Fermi-Pasta-Ulam lattices, by predicting the conditions for the realization of similar effects in optical waveguide arrays, ferromagnetic and antiferromagnetic spin chains, quantum Hall bilayers, etc., leading to possible technological advances in the creation of novel switching devices. Moreover, we propose to continue the ongoing work on the theoretical investigations of quantum tunnelling effects in optical systems. Specifically, based on our discovery of a Landau-Zener tunneling effect in waveguide arrays caused by a step in the refractive index, we propose to examine the same effect in the case of Bose-Einstein cond ensates in optical lattices (since both waveguide arrays and Bose-Einstein condensates are described by the Schroedinger equation) as well as in Bragg gratings, considering both adiabatic and nonadiabatic regimes. The training objective of the present prop osal is to acquire analytical skills that will allow to deal with exactly solvable equations and, on the other hand, to gain additional knowledge of realistic physical systems in laboratory experiments. The completion of the project activities is planned d uring the return phase at the Host Institution in Georgia (home country of the researcher). In particular, the establishment of a competitive research team is planned, which will work on the possible technological applications of the discovered effects in priority scientific areas in Georgia.
Original text from CORDIS.
Participants
- DEPARTMENT OF ENERGY, FLORENCE UNIVERSITY · FLORENCECoordinatorCity levelItaly
Links
Data: CORDIS, © European Union