Adiabatic cooling of bosons in lattices to magnetically ordered quantum states
We suggest and analyze a scheme to adiabatically cool bosonic atoms to picokelvin temperatures which should allow the observation of magnetic ordering via superexchange in optical lattices. The starting point is a gapped phase called the spin Mott phase, where each site is occupied by one spin-up an...
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| Format: | Article |
| Language: | English |
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American Physical Society
2015
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| Online Access: | http://hdl.handle.net/1721.1/99336 https://orcid.org/0000-0002-9528-3044 |
| _version_ | 1826202064333570048 |
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| author | Schachenmayer, Johannes Weld, David M. Miyake, Hirokazu Siviloglou, Georgios A. Ketterle, Wolfgang Daley, Andrew J. |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Schachenmayer, Johannes Weld, David M. Miyake, Hirokazu Siviloglou, Georgios A. Ketterle, Wolfgang Daley, Andrew J. |
| author_sort | Schachenmayer, Johannes |
| collection | MIT |
| description | We suggest and analyze a scheme to adiabatically cool bosonic atoms to picokelvin temperatures which should allow the observation of magnetic ordering via superexchange in optical lattices. The starting point is a gapped phase called the spin Mott phase, where each site is occupied by one spin-up and one spin-down atom. An adiabatic ramp leads to an xy-ferromagnetic phase. We show that the combination of time-dependent density matrix renormalization group methods with quantum trajectories can be used to fully address possible experimental limitations due to decoherence, and demonstrate that the magnetic correlations are robust for experimentally realizable ramp speeds. Using a microscopic master equation treatment of light scattering in the many-particle system, we test the robustness of adiabatic state preparation against decoherence. Due to different ground-state symmetries, we also find a metastable state with xy-ferromagnetic order if the ramp crosses to regimes where the ground state is a z ferromagnet. The bosonic spin Mott phase as the initial gapped state for adiabatic cooling has many features in common with a fermionic band insulator, but the use of bosons should enable experiments with substantially lower initial entropies. |
| first_indexed | 2024-09-23T12:01:37Z |
| format | Article |
| id | mit-1721.1/99336 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T12:01:37Z |
| publishDate | 2015 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/993362022-09-27T23:34:11Z Adiabatic cooling of bosons in lattices to magnetically ordered quantum states Schachenmayer, Johannes Weld, David M. Miyake, Hirokazu Siviloglou, Georgios A. Ketterle, Wolfgang Daley, Andrew J. Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. Research Laboratory of Electronics MIT-Harvard Center for Ultracold Atoms Weld, David M. Miyake, Hirokazu Siviloglou, Georgios A. Ketterle, Wolfgang We suggest and analyze a scheme to adiabatically cool bosonic atoms to picokelvin temperatures which should allow the observation of magnetic ordering via superexchange in optical lattices. The starting point is a gapped phase called the spin Mott phase, where each site is occupied by one spin-up and one spin-down atom. An adiabatic ramp leads to an xy-ferromagnetic phase. We show that the combination of time-dependent density matrix renormalization group methods with quantum trajectories can be used to fully address possible experimental limitations due to decoherence, and demonstrate that the magnetic correlations are robust for experimentally realizable ramp speeds. Using a microscopic master equation treatment of light scattering in the many-particle system, we test the robustness of adiabatic state preparation against decoherence. Due to different ground-state symmetries, we also find a metastable state with xy-ferromagnetic order if the ramp crosses to regimes where the ground state is a z ferromagnet. The bosonic spin Mott phase as the initial gapped state for adiabatic cooling has many features in common with a fermionic band insulator, but the use of bosons should enable experiments with substantially lower initial entropies. United States. Air Force Office of Scientific Research. European Office of Aerospace Research and Development (Grant FA2386-14-1-5003) United States. Air Force Office of Scientific Research. Multidisciplinary University Research Initiative (Grant FA9550-14-1-0035) United States. Army Research Office. Multidisciplinary University Research Initiative (Grant W911NF-14-1-0003) National Science Foundation (U.S.) (Grant PHY-0969731) Joint Institute for Laboratory Astrophysics (Grant JILA-NSF-PFC-1125844) Joint Institute for Laboratory Astrophysics (Grant NSF-PIF-1211914) National Science Foundation (U.S.). Center for Ultracold Atoms Aspen Center for Physics (National Science Foundation (U.S.) Grant 1066293) 2015-10-15T12:37:30Z 2015-10-15T12:37:30Z 2015-10 2015-03 2015-10-14T22:00:05Z Article http://purl.org/eprint/type/JournalArticle 1050-2947 1094-1622 http://hdl.handle.net/1721.1/99336 Schachenmayer, Johannes, David M. Weld, Hirokazu Miyake, Georgios A. Siviloglou, Wolfgang Ketterle, and Andrew J. Daley. "Adiabatic cooling of bosons in lattices to magnetically ordered quantum states." Phys. Rev. A 92, 041602 (October 2015). © 2015 American Physical Society https://orcid.org/0000-0002-9528-3044 en http://dx.doi.org/10.1103/PhysRevA.92.041602 Physical Review A 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. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Schachenmayer, Johannes Weld, David M. Miyake, Hirokazu Siviloglou, Georgios A. Ketterle, Wolfgang Daley, Andrew J. Adiabatic cooling of bosons in lattices to magnetically ordered quantum states |
| title | Adiabatic cooling of bosons in lattices to magnetically ordered quantum states |
| title_full | Adiabatic cooling of bosons in lattices to magnetically ordered quantum states |
| title_fullStr | Adiabatic cooling of bosons in lattices to magnetically ordered quantum states |
| title_full_unstemmed | Adiabatic cooling of bosons in lattices to magnetically ordered quantum states |
| title_short | Adiabatic cooling of bosons in lattices to magnetically ordered quantum states |
| title_sort | adiabatic cooling of bosons in lattices to magnetically ordered quantum states |
| url | http://hdl.handle.net/1721.1/99336 https://orcid.org/0000-0002-9528-3044 |
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