In the classical β-ensembles of random matrix theory, setting β= 2α/N and taking the N→∞ limit gives a statistical state depending on α. Using the loop equations for the classical β …
A Sarkar, S Kumar - The European Physical Journal B, 2023 - Springer
The entanglement spectrum statistics (ESS) of a disordered and generalised time reversal invariant XXZ model is inspected in the bipartite framework using exact finite-N results from …
In various chaotic quantum many-body systems, the ground states show nontrivial athermal behavior despite the bulk states exhibiting thermalization. Such athermal states play a …
SS Byun, SM Seo, M Yang - arXiv preprint arXiv:2402.18983, 2024 - arxiv.org
We consider a planar Coulomb gas ensemble of size $ N $ with the inverse temperature $\beta= 2$ and external potential $ Q (z)=| z|^ 2-2c\log| za| $, where $ c> 0$ and …
PJ Forrester, S Kumar - Journal of Physics A: Mathematical and …, 2019 - iopscience.iop.org
The largest eigenvalue distribution of the Wishart–Laguerre ensemble, indexed by Dyson parameter and Laguerre parameter a, is fundamental in multivariate statistics and finds …
PJ Forrester - Journal of Statistical Physics, 2021 - Springer
The structure function of a random matrix ensemble can be specified in terms of the covariance of the linear statistics∑ j= 1 N eik 1 λ j,∑ j= 1 N e-ik 2 λ j for Hermitian matrices …
PJ Forrester - Probability and Mathematical Physics, 2022 - msp.org
The problem of calculating the scaled limit of the joint moments of the characteristic polynomial, and the derivative of the characteristic polynomial, for matrices from the unitary …
One of the key issues in problems related to quantum information theory is concerned with the distinguishability of quantum states. In this context, Bures distance serves as one of the …
A Laha, S Kumar - Physics Letters A, 2024 - Elsevier
One of the fundamental aspects of quantum information theory is the study of distance measures between quantum states. Hilbert-Schmidt distance serves as a convenient choice …