Transport studies in three-terminal microwave graphs with orthogonal, unitary, and symplectic symmetry

Abstract

The Landauer-Büttiker 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.

6 pages, 6 figures

References in corpus (19)

• Random Matrix Theories in Quantum Physics: Common Concepts
• Voltage-probe and imaginary potential models for dephasing in a chaotic quantum dot
• Scattering, reflection and impedance of waves in chaotic and disordered systems with absorption
• Universal Impedance Fluctuations in Wave Chaotic Systems
• Distribution of the S-matrix in chaotic microwave cavities with direct processes and absorption
• Distribution of reflection coefficients in absorbing chaotic microwave cavities
• Measurement of discrete energy-level spectra in individual chemically-synthesized gold nanoparticles
• A microwave realization of the Gaussian symplectic ensemble
• Experimental investigation of Wigner's reaction matrix for irregular graphs with absorption
• Complete S-matrix in a microwave cavity at room temperature
• Universal transport properties of open microwave cavities with and without time-reversal symmetry
• Spectral properties of microwave graphs with local absorption
• Correlation functions of scattering matrix elements in microwave cavities with strong absorption
• Conductance Distribution of a Quantum Dot with Non-Ideal Single-Channel Leads
• Spectra and spectral correlations of microwave graphs with symplectic symmetry
• Testing quantum transport without decoherence
• Experimental determination of the absorption strength in absorbing chaotic cavities
• Statistical fluctuations of the parametric derivative of the transmission and reflection coefficients in absorbing chaotic cavities
• Random matrix study for a three-terminal chaotic device

Cited by in corpus (8)

• Missing-level statistics in classically chaotic quantum systems with symplectic symmetry
• Experimental study of closed and open microwave waveguide graphs with preserved and partially violated time-reversal invariance
• Microwave graphs analogs for the voltage drop in three-terminal devices with orthogonal, unitary and symplectic symmetry
• Eigenfunction and eigenmode-spacing statistics in chaotic photonic crystal graphs
• Phenomenological approach to transport through three-terminal disordered wires
• Closed and open superconducting microwave waveguide networks as a model for quantum graphs
• Experimental validation of the theoretical prediction for the optical $S$ matrix
• Molecular orbitals of an elastic artificial benzene