Optical lattice quantum Hall effect
We explore the behavior of interacting bosonic atoms in an optical lattice subject to a large artificial magnetic field. We extend earlier investigations of this system where the number of magnetic flux quanta per unit cell α is close to a simple rational number. Interesting topological states such...
| Główni autorzy: | , , |
|---|---|
| Format: | Journal article |
| Język: | English |
| Wydane: |
2008
|
| _version_ | 1826303693138427904 |
|---|---|
| author | Palmer, R Klein, A Jaksch, D |
| author_facet | Palmer, R Klein, A Jaksch, D |
| author_sort | Palmer, R |
| collection | OXFORD |
| description | We explore the behavior of interacting bosonic atoms in an optical lattice subject to a large artificial magnetic field. We extend earlier investigations of this system where the number of magnetic flux quanta per unit cell α is close to a simple rational number. Interesting topological states such as the Laughlin and Read-Rezayi states can occur even if the atoms experience a weak trapping potential in one direction. An explicit numerical calculation near α=1/2 shows that the system exhibits a striped vortex lattice phase of one species, which is analogous to the behavior of a two-species system for small α. We also investigate methods to probe the encountered states. These include spatial correlation functions and the measurement of noise correlations in time-of-flight expanded atomic clouds. Characteristic differences arise which allow for an identification of the respective quantum Hall states. We furthermore discuss that a counterintuitive flow of the Hall current occurs for certain values of α. © 2008 The American Physical Society. |
| first_indexed | 2024-03-07T06:06:35Z |
| format | Journal article |
| id | oxford-uuid:ee0cb85b-dbfe-4d35-800f-948b07249bde |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:06:35Z |
| publishDate | 2008 |
| record_format | dspace |
| spelling | oxford-uuid:ee0cb85b-dbfe-4d35-800f-948b07249bde2022-03-27T11:29:48ZOptical lattice quantum Hall effectJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ee0cb85b-dbfe-4d35-800f-948b07249bdeEnglishSymplectic Elements at Oxford2008Palmer, RKlein, AJaksch, DWe explore the behavior of interacting bosonic atoms in an optical lattice subject to a large artificial magnetic field. We extend earlier investigations of this system where the number of magnetic flux quanta per unit cell α is close to a simple rational number. Interesting topological states such as the Laughlin and Read-Rezayi states can occur even if the atoms experience a weak trapping potential in one direction. An explicit numerical calculation near α=1/2 shows that the system exhibits a striped vortex lattice phase of one species, which is analogous to the behavior of a two-species system for small α. We also investigate methods to probe the encountered states. These include spatial correlation functions and the measurement of noise correlations in time-of-flight expanded atomic clouds. Characteristic differences arise which allow for an identification of the respective quantum Hall states. We furthermore discuss that a counterintuitive flow of the Hall current occurs for certain values of α. © 2008 The American Physical Society. |
| spellingShingle | Palmer, R Klein, A Jaksch, D Optical lattice quantum Hall effect |
| title | Optical lattice quantum Hall effect |
| title_full | Optical lattice quantum Hall effect |
| title_fullStr | Optical lattice quantum Hall effect |
| title_full_unstemmed | Optical lattice quantum Hall effect |
| title_short | Optical lattice quantum Hall effect |
| title_sort | optical lattice quantum hall effect |
| work_keys_str_mv | AT palmerr opticallatticequantumhalleffect AT kleina opticallatticequantumhalleffect AT jakschd opticallatticequantumhalleffect |