Dynamic structure factor of one-dimensional lattice bosons in a disordered potential: a spectral fingerprint of the Bose-glass phase
We study the dynamic structure factor of a one-dimensional Bose gas confined in an optical lattice and modeled by the Bose–Hubbard Hamiltonian, using a variety of numerical and analytical approaches. The dynamic structure factor, experimentally measurable by Bragg spectroscopy, is studied in three r...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2013-01-01
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| Series: | New Journal of Physics |
| Online Access: | https://doi.org/10.1088/1367-2630/15/5/055003 |
| _version_ | 1797751569280663552 |
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| author | Guillaume Roux Anna Minguzzi Tommaso Roscilde |
| author_facet | Guillaume Roux Anna Minguzzi Tommaso Roscilde |
| author_sort | Guillaume Roux |
| collection | DOAJ |
| description | We study the dynamic structure factor of a one-dimensional Bose gas confined in an optical lattice and modeled by the Bose–Hubbard Hamiltonian, using a variety of numerical and analytical approaches. The dynamic structure factor, experimentally measurable by Bragg spectroscopy, is studied in three relevant cases: in the clean regime, featuring either a superfluid or a Mott phase; and in the presence of two types of (quasi-)disordered external potentials: a quasi-periodic potential obtained from a bichromatic superlattice and a random box disorder—both featuring a Bose-glass phase. In the clean case, we show the emergence of a gapped doublon mode (corresponding to a repulsively bound state) for incommensurate filling, well separated from the low-energy acoustic mode. In the disordered case, we show that the dynamic structure factor provides direct insight into the spatial structure of the excitations, unveiling their localized nature, which represents a fundamental signature of the Bose-glass phase. Furthermore, it provides a clear fingerprint of the very nature of the localization mechanism which differs for the two kinds of disorder potentials we consider. In special cases, the dynamic structure factor may provide an estimate of the position of the localization transition from superfluid to Bose glass, in a complementary manner to the information deduced from the momentum distribution. |
| first_indexed | 2024-03-12T16:50:26Z |
| format | Article |
| id | doaj.art-3e4778cc1041400a904269a5029a5000 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:50:26Z |
| publishDate | 2013-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-3e4778cc1041400a904269a5029a50002023-08-08T11:11:04ZengIOP PublishingNew Journal of Physics1367-26302013-01-0115505500310.1088/1367-2630/15/5/055003Dynamic structure factor of one-dimensional lattice bosons in a disordered potential: a spectral fingerprint of the Bose-glass phaseGuillaume Roux0Anna Minguzzi1Tommaso Roscilde2LPTMS, Université Paris-Sud , CNRS, UMR 8626, F-91405 Orsay, FranceUniversité Grenoble-Alpes and CNRS , Laboratoire de Physique et Modélisation des Milieux Condensés, UMR 5493, Maison des Magistères, BP 166, F-38042 Grenoble, FranceLaboratoire de Physique, CNRS UMR 5672, Ecole Normale Supérieure de Lyon, Université de Lyon , 46 Allée d'Italie, Lyon F-69364, FranceWe study the dynamic structure factor of a one-dimensional Bose gas confined in an optical lattice and modeled by the Bose–Hubbard Hamiltonian, using a variety of numerical and analytical approaches. The dynamic structure factor, experimentally measurable by Bragg spectroscopy, is studied in three relevant cases: in the clean regime, featuring either a superfluid or a Mott phase; and in the presence of two types of (quasi-)disordered external potentials: a quasi-periodic potential obtained from a bichromatic superlattice and a random box disorder—both featuring a Bose-glass phase. In the clean case, we show the emergence of a gapped doublon mode (corresponding to a repulsively bound state) for incommensurate filling, well separated from the low-energy acoustic mode. In the disordered case, we show that the dynamic structure factor provides direct insight into the spatial structure of the excitations, unveiling their localized nature, which represents a fundamental signature of the Bose-glass phase. Furthermore, it provides a clear fingerprint of the very nature of the localization mechanism which differs for the two kinds of disorder potentials we consider. In special cases, the dynamic structure factor may provide an estimate of the position of the localization transition from superfluid to Bose glass, in a complementary manner to the information deduced from the momentum distribution.https://doi.org/10.1088/1367-2630/15/5/055003 |
| spellingShingle | Guillaume Roux Anna Minguzzi Tommaso Roscilde Dynamic structure factor of one-dimensional lattice bosons in a disordered potential: a spectral fingerprint of the Bose-glass phase New Journal of Physics |
| title | Dynamic structure factor of one-dimensional lattice bosons in a disordered potential: a spectral fingerprint of the Bose-glass phase |
| title_full | Dynamic structure factor of one-dimensional lattice bosons in a disordered potential: a spectral fingerprint of the Bose-glass phase |
| title_fullStr | Dynamic structure factor of one-dimensional lattice bosons in a disordered potential: a spectral fingerprint of the Bose-glass phase |
| title_full_unstemmed | Dynamic structure factor of one-dimensional lattice bosons in a disordered potential: a spectral fingerprint of the Bose-glass phase |
| title_short | Dynamic structure factor of one-dimensional lattice bosons in a disordered potential: a spectral fingerprint of the Bose-glass phase |
| title_sort | dynamic structure factor of one dimensional lattice bosons in a disordered potential a spectral fingerprint of the bose glass phase |
| url | https://doi.org/10.1088/1367-2630/15/5/055003 |
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