Is efficiency of classical simulations of quantum dynamics related to integrability?
| dc.creator | Prosen, Tomaz | |
| dc.creator | Znidaric, Marko | |
| dc.date | 2006-08-07 | |
| dc.date | 2006-09-14 | |
| dc.date.accessioned | 2026-07-07T07:41:20Z | |
| dc.date.available | 2026-07-07T07:41:20Z | |
| dc.description | 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 non-integrable - quantum chaotic case as control parameters are varied. Quantum states (observables) are represented in terms of matrix-product-operators with rank D_ε(t), such that evolution of a long chain is accurate within fidelity error εup to time t. We find that rank generally increases exponentially, D_ε(t) \propto \exp(const t), unless the system is integrable in which case we find polynomial increase. | |
| dc.description | 4 pages; v2. added paragraph discussing pure states | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0608057 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0608057 | |
| dc.identifier | Phys.Rev.E 75, 015202 (2007) | |
| dc.identifier | doi:10.1103/PhysRevE.75.015202 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122072 | |
| dc.subject | Quantum Physics | |
| dc.subject | Other Condensed Matter | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Is efficiency of classical simulations of quantum dynamics related to integrability? | |
| dc.type | text |