Is efficiency of classical simulations of quantum dynamics related to integrability?

Details Is efficiency of classical simulations of quantum dynamics related to integrability? Is efficiency of classical simulations of quantum dynamics related to integrability?

2006-08-07

arxiv.org/abs/quant-ph/0608057v2

Phys.Rev.E 75, 015202 (2007)

Physics

Quantum Physics

4 pages; v2. added paragraph discussing pure states

Scientific paper

10.1103/PhysRevE.75.015202

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_\epsilon(t), such that evolution of a long chain is accurate within fidelity error \epsilon up to time t. We find that rank generally increases exponentially, D_\epsilon(t) \propto \exp(const t), unless the system is integrable in which case we find polynomial increase.

Affiliated with

Also associated with

No associations

Rating

Is efficiency of classical simulations of quantum dynamics related to integrability? does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Is efficiency of classical simulations of quantum dynamics related to integrability?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Is efficiency of classical simulations of quantum dynamics related to integrability? will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-601440