The statistics of gap ratios between consecutive energy levels is a widely used tool—in particular, in the context of many-body physics—to distinguish between chaotic and …
H Goto, T Kanao - Physical Review Research, 2021 - APS
A Kerr-nonlinear parametric oscillator (KPO) can generate a quantum superposition of two oscillating states, known as a Schrödinger cat state, via quantum adiabatic evolution and …
The distribution of the ratios of nearest neighbor level spacings has become a popular indicator of spectral fluctuations in complex quantum systems such as the localized and …
Theoretical expressions for the distribution of the ratio of consecutive level spacings for quantum systems with transiting dynamics remain unknown. We propose a family of one …
The distribution of higher-order level spacings, ie, the distribution of {si (n)= E i+ n− E i} with n≥ 1 is derived analytically using a Wigner-like surmise for Gaussian ensembles of random …
A Sarkar, M Kothiyal, S Kumar - Physical Review E, 2020 - APS
The ratio of two consecutive level spacings has emerged as a very useful metric in investigating universal features exhibited by complex spectra. It does not require the …
We study the spectral properties of and spectral crossovers between different random matrix ensembles [Poissonian, Gaussian orthogonal ensemble (GOE), Gaussian unitary ensemble …
We explore quantum phase transitions using two probes of quantum chaos: out-of-time- order correlators (OTOCs) and the r-parameter obtained from the level spacing statistics. In …
We investigate the spectral fluctuations and electronic transport properties of chaotic mesoscopic cavities using Kwant, an open source Python programming language based …