Fidelity freeze for a random matrix model with off--diagonal perturbation
| dc.creator | Kohler, H. -J. Stoeckmann. H. | |
| dc.date | 2006-01-16 | |
| dc.date.accessioned | 2026-07-07T06:59:36Z | |
| dc.date.available | 2026-07-07T06:59:36Z | |
| dc.description | The concept of fidelity has been introduced to characterize the stability of a quantum-mechanical system against perturbations. The fidelity amplitude is defined as the overlap integral of a wave packet with itself after the development forth and back under the influence of two slightly different Hamiltonians. It was shown by Prosen and Znidaric in the linear-response approximation that the decay of the fidelity is frozen if the Hamiltonian of the perturbation contains off-diagonal elements only. In the present work the results of Prosen and Znidaric are extended by a supersymmetry calculation to arbitrary strengths of the perturbation for the case of an unperturbed Hamiltonian taken from the Gaussian orthogonal ensemble and a purely unitary antisymmetric perturbation. It is found that for the exact calculation the freeze of fidelity is only slightly reduced as compared to the linear-response approximation. This may have important consequences for the design of quantum computers. | |
| dc.identifier | https://arxiv.org/abs/nlin/0601037 | |
| dc.identifier | http://arxiv.org/abs/nlin/0601037 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107807 | |
| dc.subject | Chaotic Dynamics | |
| dc.subject | Statistical Mechanics | |
| dc.title | Fidelity freeze for a random matrix model with off--diagonal perturbation | |
| dc.type | text |