Slagle, Kevin and Aasen, David and Pichler, Hannes and Mong, Roger S. K. and Fendley, Paul and Chen, Xie and Endres, Manuel and Alicea, Jason (2021) Microscopic characterization of Ising conformal field theory in Rydberg chains. Physical Review B, 104 (23). Art. No. 235109. ISSN 2469-9950. doi:10.1103/physrevb.104.235109. https://resolver.caltech.edu/CaltechAUTHORS:20211207-393208000
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Abstract
Rydberg chains provide an appealing platform for probing conformal field theories (CFTs) that capture universal behavior in a myriad of physical settings. Focusing on a Rydberg chain at the Ising transition separating charge density wave and disordered phases, we establish a detailed link between microscopics and low-energy physics emerging at criticality. We first construct lattice incarnations of primary fields in the underlying Ising CFT including chiral fermions, a nontrivial task given that the Rydberg chain Hamiltonian does not admit an exact fermionization. With this dictionary in hand, we compute correlations of microscopic Rydberg operators, paying special attention to finite, open chains of immediate experimental relevance. We further develop a method to quantify how second-neighbor Rydberg interactions tune the sign and strength of four-fermion couplings in the Ising CFT. Finally, we determine how the Ising fields evolve when four-fermion couplings drive an instability to Ising tricriticality. Our results pave the way to a thorough experimental characterization of Ising criticality in Rydberg arrays, and can inform the design of novel higher-dimensional phases based on coupled critical chains.
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Additional Information: | © 2021 American Physical Society. (Received 1 September 2021; revised 2 November 2021; accepted 22 November 2021; published 6 December 2021) We thank L. Motrunich for stimulating conversations. This work was supported by the Army Research Office under Grants Award No. W911NF-17-1-0323 and No. W911NF-21-1-0367; the U.S. Department of Energy, Office of Science, National Quantum Information Science Research Centers, Quantum Science Center; the National Science Foundation through Grants No. DMR-1723367 (J.A.) and No. DMR-1848336 (R.M.); the Caltech Institute for Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation through Grant No. GBMF1250; the Walter Burke Institute for Theoretical Physics at Caltech; the ESQ by a Discovery Grant; the Gordon and Betty Moore Foundation's EPiQS Initiative, Grant No. GBMF8682; the AFOSR YIP (Grant No. FA9550-19-1-0044); and the UK Engineering and Physical Sciences Research Council through Grant No. EP/S020527/1 (P.F.). | ||||||||||||||||||||||||||
Group: | Walter Burke Institute for Theoretical Physics, Institute for Quantum Information and Matter | ||||||||||||||||||||||||||
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Issue or Number: | 23 | ||||||||||||||||||||||||||
DOI: | 10.1103/physrevb.104.235109 | ||||||||||||||||||||||||||
Record Number: | CaltechAUTHORS:20211207-393208000 | ||||||||||||||||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20211207-393208000 | ||||||||||||||||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||||||||||||
ID Code: | 112247 | ||||||||||||||||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||||||||||||||||
Deposited By: | George Porter | ||||||||||||||||||||||||||
Deposited On: | 07 Dec 2021 23:51 | ||||||||||||||||||||||||||
Last Modified: | 01 Feb 2022 22:58 |
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