Signatures of many-body localisation in a system without disorder and the relation to a glass transition
We study a quantum spin system—adapted from a facilitated spin model for classical glasses—with local bilinear interactions and without quenched disorder which seems to display characteristic signatures of a many-body localisation (MBL) transition. From direct diagonalisation of small systems, we fi...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Published: |
IOP Publishing
2016
|
| Subjects: | |
| Online Access: | https://eprints.nottingham.ac.uk/39663/ |
| _version_ | 1848795886665072640 |
|---|---|
| author | Hickey, James M. Genway, Sam Garrahan, Juan P. |
| author_facet | Hickey, James M. Genway, Sam Garrahan, Juan P. |
| author_sort | Hickey, James M. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We study a quantum spin system—adapted from a facilitated spin model for classical glasses—with local bilinear interactions and without quenched disorder which seems to display characteristic signatures of a many-body localisation (MBL) transition. From direct diagonalisation of small systems, we find a change in certain dynamical and spectral properties at a critical value of a coupling, from those characteristic of a thermalising phase to those characteristic of a MBL phase. The system we consider is known to have a quantum phase transition in its ground-state in the limit of large size, related to a first-order active-to-inactive phase transition in the stochastic trajectories of an associated classical model of glasses. Our results here suggest that this first-order transition in the low-lying spectrum may influence the rest of the spectrum of the system in the large size limit. These findings may help understand the connection between MBL and structural glass transitions. |
| first_indexed | 2025-11-14T19:39:13Z |
| format | Article |
| id | nottingham-39663 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:39:13Z |
| publishDate | 2016 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-396632020-05-04T17:50:46Z https://eprints.nottingham.ac.uk/39663/ Signatures of many-body localisation in a system without disorder and the relation to a glass transition Hickey, James M. Genway, Sam Garrahan, Juan P. We study a quantum spin system—adapted from a facilitated spin model for classical glasses—with local bilinear interactions and without quenched disorder which seems to display characteristic signatures of a many-body localisation (MBL) transition. From direct diagonalisation of small systems, we find a change in certain dynamical and spectral properties at a critical value of a coupling, from those characteristic of a thermalising phase to those characteristic of a MBL phase. The system we consider is known to have a quantum phase transition in its ground-state in the limit of large size, related to a first-order active-to-inactive phase transition in the stochastic trajectories of an associated classical model of glasses. Our results here suggest that this first-order transition in the low-lying spectrum may influence the rest of the spectrum of the system in the large size limit. These findings may help understand the connection between MBL and structural glass transitions. IOP Publishing 2016-05-24 Article PeerReviewed Hickey, James M., Genway, Sam and Garrahan, Juan P. (2016) Signatures of many-body localisation in a system without disorder and the relation to a glass transition. Journal of Statistical Mechanics: Theory and Experiment, 2016 (5). 054047. ISSN 1742-5468 Slow relaxation and glassy dynamics Structural glasses (theory) Thermalization Quantum quenches http://iopscience.iop.org/article/10.1088/1742-5468/2016/05/054047/meta doi:10.1088/1742-5468/2016/05/054047 doi:10.1088/1742-5468/2016/05/054047 |
| spellingShingle | Slow relaxation and glassy dynamics Structural glasses (theory) Thermalization Quantum quenches Hickey, James M. Genway, Sam Garrahan, Juan P. Signatures of many-body localisation in a system without disorder and the relation to a glass transition |
| title | Signatures of many-body localisation in a system without disorder and the relation to a glass transition |
| title_full | Signatures of many-body localisation in a system without disorder and the relation to a glass transition |
| title_fullStr | Signatures of many-body localisation in a system without disorder and the relation to a glass transition |
| title_full_unstemmed | Signatures of many-body localisation in a system without disorder and the relation to a glass transition |
| title_short | Signatures of many-body localisation in a system without disorder and the relation to a glass transition |
| title_sort | signatures of many-body localisation in a system without disorder and the relation to a glass transition |
| topic | Slow relaxation and glassy dynamics Structural glasses (theory) Thermalization Quantum quenches |
| url | https://eprints.nottingham.ac.uk/39663/ https://eprints.nottingham.ac.uk/39663/ https://eprints.nottingham.ac.uk/39663/ |