Hung, C.-L. and González-Tudela, Alejandro and Cirac, J. Ignacio and Kimble, H. J. (2016) Quantum spin dynamics with pairwise-tunable, long-range interactions. Proceedings of the National Academy of Sciences of the United States of America, 113 (34). E4946-E4955. ISSN 0027-8424. PMCID PMC5003233. doi:10.1073/pnas.1603777113. https://resolver.caltech.edu/CaltechAUTHORS:20160808-110256220
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Abstract
We present a platform for the simulation of quantum magnetism with full control of interactions between pairs of spins at arbitrary distances in 1D and 2D lattices. In our scheme, two internal atomic states represent a pseudospin for atoms trapped within a photonic crystal waveguide (PCW). With the atomic transition frequency aligned inside a band gap of the PCW, virtual photons mediate coherent spin–spin interactions between lattice sites. To obtain full control of interaction coefficients at arbitrary atom–atom separations, ground-state energy shifts are introduced as a function of distance across the PCW. In conjunction with auxiliary pump fields, spin-exchange versus atom–atom separation can be engineered with arbitrary magnitude and phase, and arranged to introduce nontrivial Berry phases in the spin lattice, thus opening new avenues for realizing topological spin models. We illustrate the broad applicability of our scheme by explicit construction for several well-known spin models.
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| Additional Information: | © 2016 National Academy of Sciences. Freely available online through the PNAS open access option. Contributed by H. Jeffrey Kimble, June 19, 2016 (sent for review March 6, 2016; reviewed by Nathan Goldman and Ana Maria Rey). Published online before print August 5, 2016, doi: 10.1073/pnas.1603777113 We gratefully acknowledge discussions with T. Shi and Y. Wu. The work of C.-L.H. and H.J.K. was funded by the Institute for Quantum Information and Matter, a National Science Foundation (NSF) Physics Frontier Center with support of the Moore Foundation; by the Air Force Office of Scientific Research (AFOSR) Quantum Memories in Photon-Atomic Solid-State Systems Multidisciplinary Research Program of the University Research Initiative (MURI); by the Department of Defense National Security Science and Engineering Faculty Fellowship Program; by NSF Grant PHY1205729; by the Office of Naval Research (ONR) Award N00014-16-1-2399; and by the ONR Quantum Opto-Mechanics with Atoms and Nanostructured Diamond MURI. A.G.-T. and J.I.C. acknowledge funding by the European Union integrated project “Simulators and Interfaces with Quantum Systems.” A.G.-T. also acknowledges support from Alexander Von Humboldt Foundation and IntraEuropean Marie Curie Fellowship Nanophotonics for Quantum Information and Simulation (625955). Author contributions: C.-L.H. developed concept and analytical calculations; C.-L.H., A.G.-T., J.I.C., and H.J.K. performed research; C.-L.H., A.G.-T., J.I.C., and H.J.K. contributed materials; A.G.-T. performed analytical and numerical analysis; and C.-L.H., A.G.-T., and H.J.K. wrote the paper. C.-L.H. and A.G.-T. contributed equally to this work. Reviewers: N.G., Université libre de Bruxelles; and A.M.R., JILA, University of Colorado. The authors declare no conflict of interest. This article contains supporting information online at www.pnas.org/lookup/suppl/doi:10.1073/pnas.1603777113/-/DCSupplemental. | ||||||||||||||||||||
| Group: | Institute for Quantum Information and Matter | ||||||||||||||||||||
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| Subject Keywords: | nanophotonics; quantum matter; cold atoms; quantum many-body; quantum spin | ||||||||||||||||||||
| Issue or Number: | 34 | ||||||||||||||||||||
| PubMed Central ID: | PMC5003233 | ||||||||||||||||||||
| DOI: | 10.1073/pnas.1603777113 | ||||||||||||||||||||
| Record Number: | CaltechAUTHORS:20160808-110256220 | ||||||||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20160808-110256220 | ||||||||||||||||||||
| Official Citation: | C.-L. Hung, Alejandro González-Tudela, J. Ignacio Cirac, and H. J. Kimble Quantum spin dynamics with pairwise-tunable, long-range interactions PNAS 2016 113 (34) E4946-E4955; published ahead of print August 5, 2016, doi:10.1073/pnas.1603777113 | ||||||||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||||||
| ID Code: | 69501 | ||||||||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||||||||
| Deposited By: | George Porter | ||||||||||||||||||||
| Deposited On: | 09 Aug 2016 14:40 | ||||||||||||||||||||
| Last Modified: | 25 Apr 2022 22:56 |
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