scholarly journals Scattering matrix approach to interacting electron transport

2012 ◽  
Vol 86 (12) ◽  
Author(s):  
D. Oehri ◽  
A. V. Lebedev ◽  
G. B. Lesovik ◽  
G. Blatter
Keyword(s):  
Electron Transport ◽  
Scattering Matrix ◽  
Matrix Approach

scholarly journals Memory Efficient Method for Electromagnetic Multi-Region Models Using Scattering Matrices

2018 ◽  
Vol 23 (4) ◽  
pp. 71 ◽  
Author(s):  
C. Custers ◽  
J. Jansen ◽  
E. Lomonova
Keyword(s):  
Electromagnetic Field ◽  
Boundary Conditions ◽  
Efficient Method ◽  
Maximum Size ◽  
Scattering Matrix ◽  
Matrix Approach ◽  
Matrix Formulation ◽  
Scattering Matrices ◽  
Memory Efficient

This paper describes the scattering matrix approach to obtain the solution to electromagnetic field quantities in harmonic multi-layer models. Using this approach, the boundary conditions are solved in such way that the maximum size of any matrix used during the computations is independent of the number of regions defined in the problem. As a result, the method is more memory efficient than classical methods used to solve the boundary conditions. Because electromagnetic sources can be located inside the regions of a configuration, the scattering matrix formulation is developed to incorporate these sources into the solving process. The method is applied to a 3D electromagnetic configuration for verification.

Scattering-matrix approach to multilayer diffraction

1995 ◽  
Vol 12 (5) ◽  
pp. 1097 ◽  
Author(s):  
N. P. K. Cotter ◽  
T. W. Preist ◽  
J. R. Sambles
Keyword(s):  
Scattering Matrix ◽  
Matrix Approach

scholarly journals Manipulation of Cooper Pair Entanglement in Hybrid Topological Josephson Junctions

Proceedings ◽  
2019 ◽  
Vol 12 (1) ◽  
pp. 44
Author(s):  
Gianmichele Blasi ◽  
Fabio Taddei ◽  
Vittorio Giovannetti ◽  
Alessandro Braggio
Keyword(s):  
Critical Current ◽  
Cooper Pair ◽  
Phase Relationship ◽  
Scattering Matrix ◽  
Entangled States ◽  
Current Phase ◽  
Matrix Approach ◽  
Non Local ◽  
Relationship Of ◽  
Direct Quantification

The non-local manipulation of spin-entangled states by means of local gating in two parallel 2D topological insulators properly connected to two superconducting electrodes is studied. We calculate analytically the current-phase relationship of the Josephson current making use of the scattering matrix approach and we identify the various local and non-local scattering mechanisms. We show that the Josephson critical current, remarkably, allows a direct quantification of the entanglement manipulation.

Sign in / Sign up

Export Citation Format

Share Document