Localization-delocalization transition in a system of quantum kicked rotors
| dc.contributor.author | Creffield, Charles | |
| dc.contributor.author | Hur, G. | |
| dc.contributor.author | Monteiro, T. S. | |
| dc.date.accessioned | 2023-06-20T11:00:16Z | |
| dc.date.available | 2023-06-20T11:00:16Z | |
| dc.date.issued | 2006-01-20 | |
| dc.description | ©2006 The American Physical Society. This work was supported by the EPSRC. We thank Shmuel Fishman and Antonio Garcia-Garcia for helpful comments and advice. | |
| dc.description.abstract | The quantum dynamics of atoms subjected to pairs of closely spaced delta kicks from optical potentials are shown to be quite different from the well-known paradigm of quantum chaos, the single delta-kick system. We find the unitary matrix has a new oscillating band structure corresponding to a cellular structure of phase space and observe a spectral signature of a localization-delocalization transition from one cell to several. We find that the eigenstates have localization lengths which scale with a fractional power L similar to h(-0.75) and obtain a regime of near-linear spectral variances which approximate the "critical statistics" relation Sigma(2)(L)similar or equal to chi L approximate to 1/2(1-nu)L, where nu approximate to 0.75 is related to the fractal classical phase-space structure. The origin of the nu approximate to 0.75 exponent is analyzed. | |
| dc.description.department | Depto. de Física de Materiales | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | EPSRC (UK) | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/33580 | |
| dc.identifier.doi | 10.1103/PhysRevLett.96.024103 | |
| dc.identifier.issn | 0031-9007 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1103/PhysRevLett.96.024103 | |
| dc.identifier.relatedurl | http://journals.aps.org | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/51583 | |
| dc.issue.number | 2 | |
| dc.journal.title | Physical review letters | |
| dc.language.iso | eng | |
| dc.publisher | American Physical Society | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 538.9 | |
| dc.subject.keyword | Spectral statistics | |
| dc.subject.keyword | Barriers | |
| dc.subject.keyword | Cantori | |
| dc.subject.keyword | Models | |
| dc.subject.keyword | Chaos | |
| dc.subject.ucm | Física de materiales | |
| dc.subject.ucm | Física del estado sólido | |
| dc.subject.unesco | 2211 Física del Estado Sólido | |
| dc.title | Localization-delocalization transition in a system of quantum kicked rotors | |
| dc.type | journal article | |
| dc.volume.number | 96 | |
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| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 3b58cb19-3165-4b80-a65d-1e03b90ebf64 | |
| relation.isAuthorOfPublication.latestForDiscovery | 3b58cb19-3165-4b80-a65d-1e03b90ebf64 |
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