2016/03/16 by Abdellah Khodja, Daniel Schmidtke, Jochen Gemmer · 4 citations
Mathematics · Physics and Astronomy · #Critical point (mathematics) #Eigenvalues and eigenvectors #Integrable system #Mathematical analysis #Mathematical physics #Mathematics #Opinion Dynamics and Social Influence #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Relaxation (psychology) #Spectroscopy and Quantum Chemical Studies #Spin (aerodynamics) #Statistical physics #Thermalisation #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physreve.93.042101
published in Physical review. E 93(4), 042101 (American Physical Society) · 8 pages , 6 figures
arxiv created 2016/03/16 · openalex publication_date 2016/04/01 · arxiv updated 2016/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
This work aims at understanding the interplay between the eigenstate thermalization hypothesis (ETH), initial state independent equilibration, and quantum chaos in systems that do not have a direct classical counterpart. It is based on numerical investigations of asymmetric Heisenberg spin ladders with varied interaction strengths between the legs, i.e., along the rungs. The relaxation of the energy difference between the legs is investigated. Two different parameters, both intended to quantify the degree of accordance with the ETH, are computed. Both indicate violation of the ETH at large interaction strengths but at different thresholds. Indeed, the energy difference is found not to relax independently of its initial value above some critical interaction strength, which coincides with one of the thresholds. At the same point the level statistics shift from Poisson-type to Wigner-type. Hence, the system may be considered to become integrable again in the strong interaction limit.