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Leroux F, Pandey K, Rehbi R, Chevy F, Miniatura C, Grémaud B, Wilkowski D. Non-Abelian adiabatic geometric transformations in a cold strontium gas. Nat Commun 2018; 9:3580. [PMID: 30181572 PMCID: PMC6123465 DOI: 10.1038/s41467-018-05865-3] [Citation(s) in RCA: 24] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/04/2018] [Accepted: 07/18/2018] [Indexed: 11/09/2022] Open
Abstract
Topology, geometry, and gauge fields play key roles in quantum physics as exemplified by fundamental phenomena such as the Aharonov-Bohm effect, the integer quantum Hall effect, the spin Hall, and topological insulators. The concept of topological protection has also become a salient ingredient in many schemes for quantum information processing and fault-tolerant quantum computation. The physical properties of such systems crucially depend on the symmetry group of the underlying holonomy. Here, we study a laser-cooled gas of strontium atoms coupled to laser fields through a four-level resonant tripod scheme. By cycling the relative phases of the tripod beams, we realize non-Abelian SU(2) geometrical transformations acting on the dark states of the system and demonstrate their non-Abelian character. We also reveal how the gauge field imprinted on the atoms impact their internal state dynamics. It leads to a thermometry method based on the interferometric displacement of atoms in the tripod beams.
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Affiliation(s)
- F Leroux
- Centre for Quantum Technologies, National University of Singapore, Singapore, 117543, Singapore
- MajuLab, CNRS-UCA-SU-NUS-NTU International Joint Research Unit, Singapore, Singapore
| | - K Pandey
- Centre for Quantum Technologies, National University of Singapore, Singapore, 117543, Singapore
| | - R Rehbi
- Centre for Quantum Technologies, National University of Singapore, Singapore, 117543, Singapore
- MajuLab, CNRS-UCA-SU-NUS-NTU International Joint Research Unit, Singapore, Singapore
| | - F Chevy
- Laboratoire Kastler Brossel, ENS-PSL University, CNRS, Sorbonne Université, Collége de France, 24 Rue Lhomond, Paris, 75005, France
| | - C Miniatura
- Centre for Quantum Technologies, National University of Singapore, Singapore, 117543, Singapore
- MajuLab, CNRS-UCA-SU-NUS-NTU International Joint Research Unit, Singapore, Singapore
- Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore, 117542, Singapore
- School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, 637371, Singapore
| | - B Grémaud
- Centre for Quantum Technologies, National University of Singapore, Singapore, 117543, Singapore
- MajuLab, CNRS-UCA-SU-NUS-NTU International Joint Research Unit, Singapore, Singapore
- Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore, 117542, Singapore
| | - D Wilkowski
- Centre for Quantum Technologies, National University of Singapore, Singapore, 117543, Singapore.
- MajuLab, CNRS-UCA-SU-NUS-NTU International Joint Research Unit, Singapore, Singapore.
- School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, 637371, Singapore.
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Yakaboylu E, Deuchert A, Lemeshko M. Emergence of Non-Abelian Magnetic Monopoles in a Quantum Impurity Problem. PHYSICAL REVIEW LETTERS 2017; 119:235301. [PMID: 29286703 DOI: 10.1103/physrevlett.119.235301] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/26/2017] [Indexed: 06/07/2023]
Abstract
Recently, it was shown that molecules rotating in superfluid helium can be described in terms of the angulon quasiparticles [Phys. Rev. Lett. 118, 095301 (2017)PRLTAO0031-900710.1103/PhysRevLett.118.095301]. Here, we demonstrate that in the experimentally realized regime the angulon can be seen as a point charge on a two-sphere interacting with a gauge field of a non-Abelian magnetic monopole. Unlike in several other settings, the gauge fields of the angulon problem emerge in the real coordinate space, as opposed to the momentum space or some effective parameter space. Furthermore, we find a topological transition associated with making the monopole Abelian, which takes place in the vicinity of the previously reported angulon instabilities. These results pave the way for studying topological phenomena in experiments on molecules trapped in superfluid helium nanodroplets, as well as on other realizations of orbital impurity problems.
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Affiliation(s)
- E Yakaboylu
- IST Austria (Institute of Science and Technology Austria), Am Campus 1, 3400 Klosterneuburg, Austria
| | - A Deuchert
- IST Austria (Institute of Science and Technology Austria), Am Campus 1, 3400 Klosterneuburg, Austria
| | - M Lemeshko
- IST Austria (Institute of Science and Technology Austria), Am Campus 1, 3400 Klosterneuburg, Austria
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