Unexpected non-Wigner behavior in level-spacing distributions of next-nearest-neighbor coupled XXZ spin chains
arXiv:cond-mat/0308099 · doi:10.1103/PhysRevB.68.052510
Abstract
The level-spacing distributions of XXZ spin chains with next-nearest-neighbor couplings are studied under periodic boundary conditions. We confirm that integrable XXZ spin chains mostly have the Poisson distribution as expected. On the contrary, the level-spacing distributions of next-nearest-neighbor coupled XXZ chains are given by non-Wigner distributions. It is against the expectations, since the models are nonintegrable.
arXiv comment4 pages, 4 figures, to be published in Physical Review B
References in corpus (6)
- Poisson versus GOE statistics in integrable and non-integrable quantum hamiltonian
- Construction of some missing eigenvectors of the XYZ spin chain at the discrete coupling constants and the exponentially large spectral degeneracy of the transfer matrix
- Random Matrix Theory and Classical Statistical Mechanics. I. Vertex Models
- Random Matrix Theory and Classical Statistical Mechanics: Spin Models
- Random matrix theory for closed quantum dots with weak spin-orbit coupling
- Spectral Properties of Statistical Mechanics Models
Cited by in corpus (15)
- Adiabatic eigenstate deformations as a sensitive probe for quantum chaos
- Crossover from Poisson to Wigner-Dyson Level Statistics in Spin Chains with Integrability Breaking
- Tripartite mutual information, entanglement, and scrambling in permutation symmetric systems with an application to quantum chaos
- Level Statistics of XXZ Spin Chains with Discrete Symmetries: Analysis through Finite-size Effects
- Energy Level Distribution of Perturbed Conformal Field Theories
- Level statistics of XXZ spin chains with a random magnetic field
- Weak integrability breaking and level spacing distribution
- Finite-size scaling with respect to interaction and disorder strength at the many-body localization transition
- Different types of integrability and their relation to decoherence in central spin models
- On invariant 2x2 β-ensembles of random matrices
- Finite-size anomalies of the Drude weight: role of symmetries and ensembles
- Local integrals of motion in dipole-conserving models with Hilbert space fragmentation
- Energy diffusion in frustrated quantum spin chains exhibiting Gaussian orthogonal ensemble level statistics
- Energy level statistics for models of coupled single-mode Bose--Einstein condensates
- Quantum chaos and fluctuations in isolated nuclear spin systems