Samajdar, Rhine and Ho, Wen Wei and Pichler, Hannes and Lukin, Mikhail D. and Sachdev, Subir (2020) Complex Density Wave Orders and Quantum Phase Transitions in a Model of Square-Lattice Rydberg Atom Arrays. Physical Review Letters, 124 (10). Art. No. 103601. ISSN 0031-9007. doi:10.1103/physrevlett.124.103601. https://resolver.caltech.edu/CaltechAUTHORS:20200311-101408128
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Abstract
We describe the zero-temperature phase diagram of a model of a two-dimensional square-lattice array of neutral atoms, excited into Rydberg states and interacting via strong van der Waals interactions. Using the density-matrix renormalization group algorithm, we map out the phase diagram and obtain a rich variety of phases featuring complex density wave orderings, upon varying lattice spacing and laser detuning. While some of these phases result from the classical optimization of the van der Waals energy, we also find intrinsically quantum-ordered phases stabilized by quantum fluctuations. These phases are surrounded by novel quantum phase transitions, which we analyze by finite-size scaling numerics and Landau theories. Our work highlights Rydberg quantum simulators in higher dimensions as promising platforms to realize exotic many-body phenomena.
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| Alternate Title: | Complex density wave orders and quantum phase transitions in square-lattice Rydberg atom arrays | ||||||||||||||||||||||
| Additional Information: | © 2020 American Physical Society. Received 27 October 2019; accepted 12 February 2020; published 10 March 2020. We acknowledge useful discussions with M. Dalmonte, E. Vicari, and O. Viyuela. This research was supported by the U.S. Department of Energy under Grant No. DE-SC0019030, the National Science Foundation (NSF), the Harvard-MIT Center for Ultracold Atoms, the Office of Naval Research, and the Vannevar Bush Faculty Fellowship. The computations in this paper were run on the FASRC Cannon and Odyssey clusters supported by the FAS Division of Science Research Computing Group at Harvard University. R. S. thanks J. Coulter and E. M. Stoudenmire for computational support. W. W. H. is supported by the Gordon and Betty Moore Foundation’s EPiQS Initiative, Grant No. GBMF4306, and the NUS Development Grant No. AY2019/2020. H. P. was supported by the NSF through a grant for the Institute for Theoretical Atomic, Molecular and Optical Physics at Harvard University and the Smithsonian Astrophysical Observatory, and by the Gordon and Betty Moore Foundation’s EPiQS Initiative, Grant No. GBMF8682. | ||||||||||||||||||||||
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| Issue or Number: | 10 | ||||||||||||||||||||||
| DOI: | 10.1103/physrevlett.124.103601 | ||||||||||||||||||||||
| Record Number: | CaltechAUTHORS:20200311-101408128 | ||||||||||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20200311-101408128 | ||||||||||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||||||||
| ID Code: | 101849 | ||||||||||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||||||||||||
| Deposited On: | 11 Mar 2020 17:25 | ||||||||||||||||||||||
| Last Modified: | 16 Nov 2021 18:06 |
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