Quest for Order in Chaos: Hidden Repulsive Level Statistics in Disordered Quantum Nanoaggregates

Statistics and Quantum Chaos

We use multi-time correlation functions of quantum systems to construct random variables with statistical properties that reflect the degree of complexity of the underlying quantum dynamics. PACS numbers: 05.45.+b, 02.50.-r

Semi-Poisson statistics in quantum chaos.

We investigate the quantum properties of a nonrandom Hamiltonian with a steplike singularity. It is shown that the eigenfunctions are multifractals and, in a certain range of parameters, the level statistics is described exactly by semi-Poisson statistics (SP) typical of pseudointegrable systems. It is also shown that our results are universal, namely, they depend exclusively on the presence of...

Quantum Chaos: Lessons from Disordered Metals

Quantum chaos, delocalization, and entanglement in disordered Heisenberg models.

We investigate disordered one- and two-dimensional Heisenberg spin lattices across the transition from integrability to quantum chaos from both statistical many-body and quantum-information perspectives. Special emphasis is devoted to quantitatively exploring the interplay between eigenvector statistics, delocalization, and entanglement in the presence of nontrivial symmetries. The implication ...

Reconstruction of Order Statistics in Exponential Distribution

In this article, a new censoring scheme is considered, namely, a middle part of a random sample is censored. A treatment for reconstructing the missing order statistics is investigated. The proposed procedure is studied in detail under exponential distribution which is widely used as a constant failure model in reliability. Different approaches are used to obtain point and interval reconstructo...