Chaotic quantum transport through spatially symmetric microstructures in the symplectic ensemble

Quantum transport through left–right symmetric chaotic cavities in the presence of symplectic symmetry is studied through the statistical distribution of dimensionless conductance. With this particular point symmetry, the associated scattering matrices are block diagonalized by a rotation through an angle of π/4. The formulation is established for an arbitrary number of channels N, with explicit calculations for N = 1 and N = 2, the latter showing the weak anti-localization phenomenon due to the symplectic symmetry.