Statistics of reflection eigenvalues in chaotic cavities with non-ideal leads

Abstract

The scattering matrix approach is employed to determine a joint probability density function of reflection eigenvalues for chaotic cavities coupled to the outside world through both ballistic and tunnel point contacts. Derived under assumption of broken time-reversal symmetry, this result is further utilised to (i) calculate the density and correlation functions of reflection eigenvalues, and (ii) analyse fluctuations properties of the Landauer conductance for the illustrative example of asymmetric chaotic cavity. Further extensions of the theory are pinpointed.

arXiv comment4.5 pages, 2 figures, final version accepted by Phys. Rev. Lett. (note added in proof + new reference)

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Cited by in corpus (15)

• Tau-Function Theory of Quantum Chaotic Transport with beta=1,2,4
• Recursion scheme for the largest $\beta$-Wishart-Laguerre eigenvalue and Landauer conductance in quantum transport
• Random matrix theory of quantum transport in chaotic cavities with non-ideal leads
• Transport moments and Andreev billiards with tunnel barriers
• Chaotic Scattering with Localized Losses: S-Matrix Zeros and Reflection Time Difference for Systems with Broken Time Reversal Invariance
• Semiclassical treatment of quantum chaotic transport with a tunnel barrier
• Emergence of unitary symmetry of microcanonically truncated operators in chaotic quantum systems
• Entanglement production in non-ideal cavities and optimal opacity
• Statistics of quantum transport in weakly non-ideal chaotic cavities
• Distribution of the Wigner-Smith time-delay matrix for chaotic cavities with absorption and coupled Coulomb gases
• Time-Reversal Symmetry Breaking and Decoherence in Chaotic Dirac Billiards
• Integrable Aspects of Universal Quantum Transport in Chaotic Cavities
• Exponentially small quantum correction to conductance
• Quantum transport in chaotic cavities with tunnel barriers
• Electronic transport in three-terminal chaotic systems with a tunnel barrier