Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
We experimentally implement the Harper Hamiltonian for neutral particles in optical lattices using laser-assisted tunneling and a potential energy gradient provided by gravity or magnetic field gradients. This Hamiltonian describes the motion of charged particles in strong magnetic fields. Laser-ass...
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2014
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| Online Access: | http://hdl.handle.net/1721.1/84973 https://orcid.org/0000-0003-4126-083X https://orcid.org/0000-0002-6107-1174 https://orcid.org/0000-0002-9528-3044 |
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| author | Miyake, Hirokazu Burton, William Cody Ketterle, Wolfgang Kennedy, Colin Siviloglou, Georgios A. |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Miyake, Hirokazu Burton, William Cody Ketterle, Wolfgang Kennedy, Colin Siviloglou, Georgios A. |
| author_sort | Miyake, Hirokazu |
| collection | MIT |
| description | We experimentally implement the Harper Hamiltonian for neutral particles in optical lattices using laser-assisted tunneling and a potential energy gradient provided by gravity or magnetic field gradients. This Hamiltonian describes the motion of charged particles in strong magnetic fields. Laser-assisted tunneling processes are characterized by studying the expansion of the atoms in the lattice. The band structure of this Hamiltonian should display Hofstadter’s butterfly. For fermions, this scheme should realize the quantum Hall effect and chiral edge states. |
| first_indexed | 2024-09-23T08:59:43Z |
| format | Article |
| id | mit-1721.1/84973 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:59:43Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/849732022-09-26T09:41:58Z Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices Miyake, Hirokazu Burton, William Cody Ketterle, Wolfgang Kennedy, Colin Siviloglou, Georgios A. Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. Research Laboratory of Electronics MIT-Harvard Center for Ultracold Atoms Miyake, Hirokazu Siviloglou, Georgios Kennedy, Colin Burton, William Cody Ketterle, Wolfgang We experimentally implement the Harper Hamiltonian for neutral particles in optical lattices using laser-assisted tunneling and a potential energy gradient provided by gravity or magnetic field gradients. This Hamiltonian describes the motion of charged particles in strong magnetic fields. Laser-assisted tunneling processes are characterized by studying the expansion of the atoms in the lattice. The band structure of this Hamiltonian should display Hofstadter’s butterfly. For fermions, this scheme should realize the quantum Hall effect and chiral edge states. National Science Foundation (U.S.) (Grant PHY-0969731) United States. Army Research Office (Grant W911NF-13-1-0031) United States. Office of Naval Research 2014-02-18T15:20:35Z 2014-02-18T15:20:35Z 2013-10 2013-08 Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/84973 Miyake, Hirokazu, Georgios A. Siviloglou, Colin J. Kennedy, William Cody Burton, and Wolfgang Ketterle. “Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices.” Physical Review Letters 111, no. 18 (October 2013). © 2013 American Physical Society https://orcid.org/0000-0003-4126-083X https://orcid.org/0000-0002-6107-1174 https://orcid.org/0000-0002-9528-3044 en_US http://dx.doi.org/10.1103/PhysRevLett.111.185302 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society American Physical Society |
| spellingShingle | Miyake, Hirokazu Burton, William Cody Ketterle, Wolfgang Kennedy, Colin Siviloglou, Georgios A. Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices |
| title | Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices |
| title_full | Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices |
| title_fullStr | Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices |
| title_full_unstemmed | Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices |
| title_short | Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices |
| title_sort | realizing the harper hamiltonian with laser assisted tunneling in optical lattices |
| url | http://hdl.handle.net/1721.1/84973 https://orcid.org/0000-0003-4126-083X https://orcid.org/0000-0002-6107-1174 https://orcid.org/0000-0002-9528-3044 |
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