Statistics of transmitted power in multichannel dissipative ergodic structures
arXiv:cond-mat/0210290 · doi:10.1103/PhysRevE.68.016204
Abstract
We use the Random Matrix Theory (RMT) to study the probability distribution function and moments of the wave power transmitted inside systems with ergodic wave motion. The results describe either open multichannel systems or their closed counterparts with local-in-space internal dissipation. We concentrate on the regime of broken time-reversal invariance and employ two different analytical approaches: the exact supersymmetry method and a simpler technique that uses RMT eigenstatistics for closed non-dissipative systems as an input. The results of the supersymmetric method were confirmed by numerical simulation. The simpler method is found to be adequate for closed systems with uniform dissipation, or in the limit of a large number of weak local dampers.
12 pages, 6 figures
References in corpus (16)
- Random-Matrix Theory of Quantum Transport
- Random Matrix Theories in Quantum Physics: Common Concepts
- Statistics of energy levels and eigenfunctions in disordered systems
- The Statistical Theory of Quantum Dots
- Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering for systems with broken time reversal invariance
- Wannier-Stark resonances in optical and semiconductor superlattices
- Chaotic Scattering on Graphs
- Quantum Graphs: A simple model for Chaotic Scattering
- Quantum Versus Classical Decay Laws in Open Chaotic Systems
- Distribution of the reflection eigenvalues of a weakly absorbing chaotic cavity
- Interference Phenomena in Electronic Transport Through Chaotic Cavities: An Information-Theoretic Approach
- Wave Scattering through Classically Chaotic Cavities in the Presence of Absorption: An Information-Theoretic Model
- Photodissociation in Quantum Chaotic Systems: Random Matrix Theory of Cross-Section Fluctuations
- Intensity distribution for waves in disordered media: deviations from Rayleigh statistics
- Aspects of Quasi-Phasestructure of the Schwinger Model on a Cylinder with Broken Chiral Symmetry
- Spontaneous Emission in Chaotic Cavities
Cited by in corpus (17)
- Scattering, reflection and impedance of waves in chaotic and disordered systems with absorption
- Chaotic Scattering on Individual Quantum Graphs
- Statistics of Impedance, Local Density of States, and Reflection in Quantum Chaotic Systems with Absorption
- Complete S-matrix in a microwave cavity at room temperature
- Induced vs Spontaneous Breakdown of S-matrix Unitarity: Probability of No Return in Quantum Chaotic and Disordered Systems
- Distribution of Scattering Matrix Elements in Quantum Chaotic Scattering
- A first-principles model of time-dependent variations in transmission through a fluctuating scattering environment
- Inhomogeneous losses and complexness of wave functions in chaotic cavities
- Distributions of Off-Diagonal Scattering Matrix Elements: Exact Results
- Variance of transmitted power in multichannel dissipative ergodic structures invariant under time reversal
- Experimental investigation of distributions of the off-diagonal elements of the scattering and the Wigner's matrices for networks with broken time reversal invariance
- Distribution of Off-Diagonal Cross Sections in Quantum Chaotic Scattering: Exact Results and Data Comparison
- Chaotic Scattering with Localized Losses: S-Matrix Zeros and Reflection Time Difference for Systems with Broken Time Reversal Invariance
- Statistics of off-diagonal entries of Wigner -matrix for chaotic wave systems with absorption
- Open Problems in Applying Random-Matrix Theory to Nuclear Reactions
- Ballistic dynamics of a convex smooth-wall billiard with finite escape rate along the boundary
- Universality Emerging in a Universality: Derivation of the Ericson Transition in Stochastic Quantum Scattering and Experimental Validation