2018/08/08 by A. M. Martínez-Argüello, A. Rehemanjiang, M. Martínez-Mares +7
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Circular ensemble #Eigenvalues and eigenvectors #Geometry #Mathematics #Physics #Pure mathematics #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Quantum mechanics #Symmetry (geometry) #Symplectic geometry #Unitary state #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.98.075311
published as Phys. Rev. B 98, 075311 (2018) · 6 pages, 6 figures
arxiv created 2018/08/08 · openalex created_date 2018/08/22 · openalex publication_date 2018/08/24 · arxiv updated 2018/08/29 · openalex updated_date 2026/08/05
The Landauer-B"uttiker formalism establishes an equivalence between the electrical conduction through a device, e.g., a quantum dot, and the transmission. Guided by this analogy we perform transmission measurements through three-port microwave graphs with orthogonal, unitary, and symplectic symmetry, thus mimicking three-terminal voltage drop devices. One of the ports is placed as input and a second one as output, while a third port is used as a probe. Analytical predictions show good agreement with the measurements in the presence of orthogonal and unitary symmetries, provided that the absorption and the influence of the coupling port are taken into account. The symplectic symmetry is realized in specifically designed graphs mimicking spin-1/2 systems. Again a good agreement between experiment and theory is found. For the symplectic case the results are marginally sensitive to absorption and coupling strength of the port, in contrast to the orthogonal and unitary case.