Results 71 to 80 of about 138,468 (211)
Complex outliers of Hermitian random matrices
, 2016 In this paper, we study the asymptotic behavior of the outliers of the sum a Hermitian random matrix and a finite rank matrix which is not necessarily Hermitian.
Rochet, Jean
core +1 more source
Advanced Physics Research, EarlyView.We report an experimental demonstration of room‐temperature Hong–Ou–Mandel interference at a radio‐wave frequency of 120 MHz using emulated single‐photon states conditionally built from classical phase‐averaged coherent states. Our technique and results open the door to realizing quantum protocols in frequency ranges where standard quantum technologies
A. Sheleg +9 more
wiley +1 more source
Long‐Range Interactions in Topological Superconducting Systems: A Mini Review
Advanced Physics Research, EarlyView.Long‐range interacting quantum systems are surveyed in this review, with an emphasis on the long‐range topological superconductor and its variants. Long‐range interactions decaying in a power‐law manner can lead to exotic phenomena that finds no analogue in short‐range regimes.
Juntong Ren, Haifeng Lü
wiley +1 more source
A New Surrogating Algorithm by the Complex Graph Fourier Transform (CGFT)
Entropy, 2019 The essential step of surrogating algorithms is phase randomizing the Fourier transform while preserving the original spectrum amplitude before computing the inverse Fourier transform.
Jordi Belda +4 more
doaj +1 more source
Spacing ratio statistics of multiplex directed networks
New Journal of Physics, 2023 Eigenvalues statistics of various many-body systems have been widely studied using the nearest neighbor spacing distribution under the random matrix theory framework.
Tanu Raghav, Sarika Jalan
doaj +1 more source
$1/N^2$ correction to free energy in hermitian two-matrix model
, 2004 Using the loop equations we find an explicit expression for genus 1 correction in hermitian two-matrix model in terms of holomorphic objects associated to spectral curve arising in large N limit.
A. Kitaev +10 more
core +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Non-Hermitian Fabry-Pérot resonances in a PT-symmetric system
Physical Review Research, 2021 In non-Hermitian scattering problems, the behavior of the transmission probability is very different from its Hermitian counterpart; it can exceed unity or even be divergent, since the non-Hermiticity can add or remove the probability to and from the ...
Ken Shobe +3 more
doaj +1 more source
W-representations of two-matrix models with infinite set of variables
Physics Letters B, 2023 The Hermitian, complex and fermionic two-matrix models with infinite set of variables are constructed. We show that these two-matrix models can be realized by the W-representations.
Lu-Yao Wang +3 more
doaj +1 more source
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source