Variational wave functions, ground state and their overlap
| dc.creator | Mora, Christophe | |
| dc.creator | Waintal, Xavier | |
| dc.date | 2007-02-28 | |
| dc.date | 2007-06-26 | |
| dc.date.accessioned | 2026-07-07T08:20:18Z | |
| dc.date.available | 2026-07-07T08:20:18Z | |
| dc.description | An intrinsic measure of the quality of a variational wave function is given by its overlap with the ground state of the system. We derive a general formula to compute this overlap when quantum dynamics in imaginary time is accessible. The overlap is simply related to the area under the $E(τ)$ curve, i.e. the energy as a function of imaginary time. This has important applications to, for example, quantum Monte-Carlo algorithms where the overlap becomes as a simple byproduct of routine simulations. As a result, we find that the practical definition of a good variational wave function for quantum Monte-Carlo simulations, {\it i.e.} fast convergence to the ground state, is equivalent to a good overlap with the actual ground state of the system. | |
| dc.description | 4 pages, 2 figures, to be published in Phys. Rev. Lett. (revised version) | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0703004 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0703004 | |
| dc.identifier | Phys. Rev. Lett. 99, 030403 (2007) | |
| dc.identifier | doi:10.1103/PhysRevLett.99.030403 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135033 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Variational wave functions, ground state and their overlap | |
| dc.type | text |