The ground state of a class of noncritical 1D quantum spin systems can be approximated efficiently
| dc.creator | Osborne, Tobias J. | |
| dc.date | 2006-03-15 | |
| dc.date | 2007-03-01 | |
| dc.date.accessioned | 2026-07-07T07:55:29Z | |
| dc.date.available | 2026-07-07T07:55:29Z | |
| dc.description | We study families H_n of 1D quantum spin systems, where n is the number of spins, which have a spectral gap ΔE between the ground-state and first-excited state energy that scales, asymptotically, as a constant in n. We show that if the ground state |Ω_m> of the hamiltonian H_m on m spins, where m is an O(1) constant, is locally the same as the ground state |Ω_n>, for arbitrarily large n, then an arbitrarily good approximation to the ground state of H_n can be stored efficiently for all n. We formulate a conjecture that, if true, would imply our result applies to all noncritical 1D spin systems. We also include an appendix on quasi-adiabatic evolutions. | |
| dc.description | 9 pages, 1 eps figure, minor changes | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0603137 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0603137 | |
| dc.identifier | Phys. Rev. A 75, 042306 (2007) | |
| dc.identifier | doi:10.1103/PhysRevA.75.042306 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126984 | |
| dc.subject | Quantum Physics | |
| dc.title | The ground state of a class of noncritical 1D quantum spin systems can be approximated efficiently | |
| dc.type | text |