Emergence of Chaotic Scattering in Ultracold Er and Dy by T. Maier, H. Kadau, M. Schmitt, M. Wenzel, I. Ferrier-Barbut, T. Pfau, A. Frisch, S. Baier, K. Aikawa, L. Chomaz, M. J. Mark, F. Ferlaino, C. Makrides, E. Tiesinga, A. Petrov, S. Kotochigova

“…We present extensive atom-loss measurements of their dense magnetic Feshbach-resonance spectra, analyze their statistical properties, and compare to predictions from a random-matrix-theory-inspired model. Furthermore, theoretical coupled-channels simulations of the anisotropic molecular Hamiltonian at zero magnetic field show that weakly bound, near threshold diatomic levels form overlapping, uncoupled chaotic series that when combined are randomly distributed. …”
Get full text

Generalizations of the R-Matrix Method to the Treatment of the Interaction of Short-Pulse Electromagnetic Radiation with Atoms by Barry I. Schneider, Kathryn R. Hamilton, Klaus Bartschat

“…Since its initial development in the 1970s by Phil Burke and his collaborators, the R-matrix theory and associated computer codes have become the method of choice for the calculation of accurate data for general electron–atom/ion/molecule collision and photoionization processes. …”
Get full text

Research on fine boring simulation based on squeezed liquid film damper by Qiang Shao, Dong Wang, Ping-shu Ge, Le Wang

“…The paper set up the fine boring squeezed liquid film damped system of multi degree of freedom vibration simulation model and solve mathematical model by transfer matrix theory. The damping coefficient for the fine boring system can be obtained. …”
Get full text

Impedance-Based Stability Analysis of Grid-Connected Inverters under the Unbalanced Grid Condition by Jinzhu Shi, Lihui Yang, Hao Yang

“…To analyze this multi-input multi-output system, a simplified stability analysis method based on the generalized Nyquist stability criterion and matrix theory is proposed. Then, the influences of circuit and control parameters on the stability of the grid-connected inverter system under the unbalanced grid condition are investigated. …”
Get full text

Entanglement measures of bipartite quantum gates and their thermalization under arbitrary interaction strength by Bhargavi Jonnadula, Prabha Mandayam, Karol Życzkowski, Arul Lakshminarayan

“…This quantity shows an exponential saturation to the value predicted by the random matrix theory, indicating “thermalization” in the entanglement properties of sequentially applied quantum gates that can have arbitrarily small, but nonzero, entanglement to begin with. …”
Get full text

ANALYSIS OF ACTIVE PHASED ANTENNA ARRAY PARAMETERS FOR THE GURT RADIO TELESCOPE by P. L. Tokarsky, A. A. Konovalenko, S. N. Yerin

“…The technique is based on the matrix theory of antenna arrays which combines an electromagnetic approach to analysis of radiators array with the methods of microwave multiport theory for the APAA feed network description. …”
Get full text

Study on Consensus of the Forth-Order Discrete-Time Multiagent System in Directed Networks by Zunjie Yu, Yong Zhao, Weihai Zhang

“…Then, two necessary and sufficient conditions for the consensus of the forth-order discrete-time multiagent system are established by using the related knowledge of algebraic graph theory and matrix theory. Compared with the existing results, the obtained conditions of this paper are more extensive. …”
Get full text

Community Detection for Correlation Matrices by Mel MacMahon, Diego Garlaschelli

“…Here, we introduce, via a consistent redefinition of null models based on random matrix theory, the appropriate correlation-based counterparts of the most popular community detection techniques. …”
Get full text

Spectral Form Factor and Dynamical Localization by Črt Lozej

“…The transport time is obtained from the point when the spectral form factor transitions from the non-universal to the universal regime predicted by random matrix theory. We study the dependence of the transport time on the parameter value and show the level repulsion exponents, which are known to be a good measure of dynamical localization, depend linearly on the transport times obtained in this way.…”
Get full text

Optimal mean‐square consensus for heterogeneous multi‐agent system with probabilistic time delay by Fenglan Sun, Hao Li, Wei Zhu, Jürgen Kurths

“…By adopting probability statistics, stochastic process, matrix theory and some stability method, sufficient conditions for the consensus protocol are given. …”
Get full text

Sparse Random Hamiltonians Are Quantumly Easy by Chi-Fang Chen, Alexander M. Dalzell, Mario Berta, Fernando G. S. L. Brandão, Joel A. Tropp

“…The main technical argument is based on some new results in nonasymptotic random matrix theory. In particular, a refined concentration bound for the spectral density is required to obtain complexity guarantees for these random Hamiltonians.…”
Get full text

A 2 × 2 Filtering subarray element antennas using all‐resonator structures by Rashad H. Mahmud, Michael J. Lancaster

“…Abstract This study presents two novel topologies of a 2 × 2 filtering antenna subarray based on all resonator structures. The coupling matrix theory is used to extract the interresonator coupling coefficients and quality factors. …”
Get full text

Classical theory of universal quantum work distribution in chaotic and disordered non-interacting Fermi systems by András Grabarits, Márton Kormos, Izabella Lovas, Gergely Zaránd

“…Abstract We present a universal theory of quantum work statistics in generic disordered non-interacting Fermi systems, displaying a chaotic single-particle spectrum captured by random matrix theory. We consider quantum quenches both within a driven random matrix formalism and in an experimentally accessible microscopic model, describing a two-dimensional disordered quantum dot. …”
Get full text

Microbunch rotation in an x-ray free-electron laser using a first-order achromatic bend by Rachel A. Margraf, James P. MacArthur, Gabriel Marcus, Heinz-Dieter Nuhn, Alberto Lutman, Aliaksei Halavanau, Zhen Zhang, Zhirong Huang

“…Quadrupole offsets are determined analytically from beam-matrix theory. We also discuss the application of microbunch rotation to out-coupling a cavity-based XFEL.…”
Get full text

Selected Payback Statistical Contributions to Matrix/Linear Algebra: Some Counterflowing Conceptualizations by Daniel A. Griffith

“…Another prominent one is the mathematical matrix theory eigenfunction abstraction. A third is special matrix operations, such as Kronecker sums and products. …”
Get full text

A Proposed Quantum Framework for Low-Complexity Quantum Simulation and Spectrum Estimation of Hankel-Patterned Systems by Mostafizur Rahaman Laskar, Amit Kumar Dutta

“…Numerical results are reported adopting random matrix theory in its fold to evaluate the efficacy of the proposed architecture and algorithm for large-dimensional systems, including an example application in delay estimation for ranging operations in a wireless communication system.…”
Get full text

Real-Time Optimization of Anti-Reflective Coatings for CIGS Solar Cells by Grace Rajan, Shankar Karki, Robert W. Collins, Nikolas J. Podraza, Sylvain Marsillac

“…The model is based on transfer matrix theory with input from the accurate measurement of complex dielectric function spectra and thickness of each layer in the solar cell by spectroscopic ellipsometry. …”
Get full text

Spectral characterization of hierarchical network modularity and limits of modularity detection. by Somwrita Sarkar, James A Henderson, Peter A Robinson

“…First, classical results from random matrix theory are used to derive the spectrum of a typical stochastic block model hierarchical modular network form. …”
Get full text

Complete random matrix classification of SYK models with N $$ \mathcal{N} $$ = 0, 1 and 2 supersymmetry by Takuya Kanazawa, Tilo Wettig

“…Abstract We present a complete symmetry classification of the Sachdev-Ye-Kitaev (SYK) model with N $$ \mathcal{N} $$ = 0, 1 and 2 supersymmetry (SUSY) on the basis of the Altland-Zirnbauer scheme in random matrix theory (RMT). For N $$ \mathcal{N} $$ = 0 and 1 we consider generic q-body interactions in the Hamiltonian and find RMT classes that were not present in earlier classifications of the same model with q = 4. …”
Get full text

Random matrix approach to three-dimensional QCD with a Chern-Simons term by Takuya Kanazawa, Mario Kieburg, Jacobus J. M. Verbaarschot

“…Abstract We propose a random matrix theory for QCD in three dimensions with a Chern-Simons term at level k which spontaneously breaks the flavor symmetry according to U(2N f) → U(N f + k)×U(N f − k). …”
Get full text