2006/08/31 by Tomaž Prosen, Tomaz Prosen, Marko Znidaric +1 · 2 citations
Physics and Astronomy · #Model Reduction and Neural Networks #Opinion Dynamics and Social Influence #Quantum many-body systems #cond-mat.other #nlin.SI #quant-ph
paper · pdf · doi:10.1103/physreve.75.015202
published as Phys.Rev.E 75, 015202 (2007) · 4 pages; v2. added paragraph discussing pure states
arxiv created 2006/09/14 · openalex publication_date 2007/01/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Efficiency of time evolution of quantum observables, and thermal states of quenched Hamiltonians, is studied using time-dependent density-matrix renormalization group method in a family of generic quantum spin chains which undergo a transition from integrable to nonintegrable-quantum chaotic case as control parameters are varied. Quantum states (observables) are represented in terms of matrix-product operators with rank D(epsilon)(t), such that evolution of a long chain is accurate within fidelity error epsilon up to time t. We found that the rank generally increases exponentially D(epsilon)(t) proportional to exp(const t), unless the model system was integrable in which case we found polynomial increase.