Efficient semiclassical approach for time delays
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Publication:3387458
DOI10.1088/1367-2630/16/12/123018zbMath1451.81238arXiv1409.1532OpenAlexW1993034118MaRDI QIDQ3387458
M. Sieber, Jack Kuipers, Dmitriĭ Vladimirovich Savin
Publication date: 12 January 2021
Published in: New Journal of Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.1532
Quantum chaos (81Q50) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)
Related Items (12)
Truncated linear statistics associated with the eigenvalues of random matrices. II: Partial sums over proper time delays for chaotic quantum dots ⋮ Time delay statistics for chaotic cavities with absorption ⋮ Semiclassical matrix model for quantum chaotic transport with time-reversal symmetry ⋮ Recursion for the smallest eigenvalue density of \(\beta \)-Wishart-Laguerre ensemble ⋮ Integer moments of complex Wishart matrices and Hurwitz numbers ⋮ Moments of random matrices and hypergeometric orthogonal polynomials ⋮ Large-N expansion for the time-delay matrix of ballistic chaotic cavities ⋮ Wigner–Smith time-delay matrix in chaotic cavities with non-ideal contacts ⋮ Statistics of time delay and scattering correlation functions in chaotic systems. II. Semiclassical approximation ⋮ Semiclassical calculation of time delay statistics in chaotic quantum scattering ⋮ Delay-time distribution in the scattering of time-narrow wave packets. (I) ⋮ Semiclassical roots of universality in many-body quantum chaos
Cites Work
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- Tau-function theory of chaotic quantum transport with \(\beta = 1, 2, 4\)
- General moments of the inverse real Wishart distribution and orthogonal Weingarten functions
- Stochastic versus semiclassical approach to quantum chaotic scattering
- Chaos in classical and quantum mechanics
- Time delay
- Solution of the Schrödinger equation in terms of classical paths
- Time delay correlations in chaotic scattering: Random matrix approach
- Moments of the transmission eigenvalues, proper delay times, and random matrix theory. I
- Transport moments beyond the leading order
- Moments of the transmission eigenvalues, proper delay times and random matrix theory II
- A semiclassical matrix model for quantum chaotic transport
- Random matrices and chaos in nuclear physics: Nuclear reactions
- Joint moments of proper delay times
- Lifetime Matrix in Collision Theory
- Semiclassical prediction for shot noise in chaotic cavities
- The semiclassical continuity equation for open chaotic systems
- Statistics of thermal to shot noise crossover in chaotic cavities
- Moments of the Wigner delay times
- Full counting statistics of chaotic cavities from classical action correlations
- Semiclassical expansion of parametric correlation functions of the quantum time delay
- Quantum time delay in chaotic scattering: a semiclassical approach
- Distribution of the quantum mechanical time-delay matrix for a chaotic cavity
- Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering: Random matrix approach for systems with broken time-reversal invariance
- Semiclassical theory of spectral rigidity
- Open orbits and the semiclassical dwell time
- Transport moments and Andreev billiards with tunnel barriers
- Quantum Chaos
- Geometrical theory of diffraction and spectral statistics
- Diagrammatic method of integration over the unitary group, with applications to quantum transport in mesoscopic systems
- Moments of Wishart-Laguerre and Jacobi ensembles of random matrices: application to the quantum transport problem in chaotic cavities
- A hypergeometric generating function approach to charge counting statistics in ballistic chaotic cavities
- Combinatorial theory of the semiclassical evaluation of transport moments. I. Equivalence with the random matrix approach
- Transmission eigenvalue densities and moments in chaotic cavities from random matrix theory
- Scattering, reflection and impedance of waves in chaotic and disordered systems with absorption
- Lower Limit for the Energy Derivative of the Scattering Phase Shift
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