Ordered Level Spacing Distribution in Embedded Random Matrix Ensembles
arXiv:2103.07681 · doi:10.1007/s12043-020-02066-w
Abstract
The probability distribution of the closest neighbor and farther neighbor spacings from a given level have been studied for interacting fermion/boson systems with and without spin degree of freedom constructed using an embedded GOE of one plus random two-body interactions. Our numerical results demonstrate a very good consistency with the recently derived analytical expressions using a random matrix model and other related quantities by Srivastava et. al [{\it J. Phys. A: Math. Theor.} {\bf 52} 025101 (2019)]. This establishes conclusively that local level fluctuations generated by embedded ensembles (EE) follow the results of classical Gaussian ensembles.
arXiv comment8 pages, 4 figures, 2 tables
References in corpus (24)
- Localization of interacting fermions at high temperature
- Universal and non-universal properties of cross-correlations in financial time series
- Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
- Random Matrices and Chaos in Nuclear Physics
- Emergence of quantum chaos in finite interacting Fermi systems
- An introduction to the SYK model
- Universal Signature from Integrability to Chaos in Dissipative Open Quantum Systems
- Quantum chaos transition in a two-site SYK model dual to an eternal traversable wormhole
- Random Matrices and Chaos in Nuclear Spectra
- Spectral properties of complex networks
- Higher order spacing ratios in random matrix theory and complex quantum systems
- A note on the SYK model with complex fermions
- Poisson to GOE transition in the distribution of the ratio of consecutive level spacings
- Distribution of the Ratio of Consecutive Level Spacings for Different Symmetries and Degrees of Chaos
- Randomness and preserved patterns in cancer network
- Probability Distribution of the Ratio of Consecutive Level Spacings in Interacting Particle Systems
- Distribution of the ratio of two consecutive level spacings in orthogonal to unitary crossover ensembles
- Entanglement and localization transitions in eigenstates of interacting chaotic systems
- Eigenstate entanglement between quantum chaotic subsystems: universal transitions and power laws in the entanglement spectrum
- Thermalization in one- plus two-body ensembles for dense interacting boson systems
- Ordered level spacing probability densities
- Spectral analysis of molecular resonances in erbium isotopes: Are they close to semi-Poisson?
- Localization-Delocalization Transitions in Bosonic Random Matrix Ensembles
- Random matrix ensemble with random two-body interactions in presence of a mean-field for spin one boson systems