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Quantum membrane phases in synthetic lattices of cold molecules or Rydberg atoms

Feng, Chunhan and Manetsch, Hannah and Rousseau, Valery G. and Hazzard, Kaden R. A. and Scalettar, Richard (2022) Quantum membrane phases in synthetic lattices of cold molecules or Rydberg atoms. Physical Review A, 105 (6). Art. No. 063320. ISSN 2469-9926. doi:10.1103/physreva.105.063320. https://resolver.caltech.edu/CaltechAUTHORS:20220715-332436000

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Abstract

We calculate properties of dipolar interacting ultracold molecules or Rydberg atoms in a semisynthetic three-dimensional configuration—one synthetic dimension plus a two-dimensional real-space optical lattice or periodic microtrap array—using the stochastic Green's function quantum Monte Carlo method. Through a calculation of thermodynamic quantities and appropriate correlation functions, along with their finite-size scalings, we show that there is a second-order transition to a low-temperature phase in which two-dimensional “sheets” form in the synthetic dimension of internal rotational or electronic states of the molecules or Rydberg atoms, respectively. Simulations for different values of the interaction V, which acts between atoms or molecules that are adjacent both in real and synthetic space, allow us to compute a phase diagram. We find a finite-temperature transition at sufficiently large V as well as a quantum phase transition—a critical value V꜀ below which the transition temperature vanishes.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/physreva.105.063320DOIArticle
https://arxiv.org/abs/2202.08540arXivDiscussion Paper
ORCID:
AuthorORCID
Feng, Chunhan0000-0002-8794-7605
Rousseau, Valery G.0000-0001-8067-3819
Additional Information:© 2022 American Physical Society. (Received 23 February 2022; accepted 1 June 2022; published 21 June 2022) The work of C.H.F. and R.T.S. was supported by the grant DOE-DE-SC0014671 funded by the U.S. Department of Energy, Office of Science. We thank Sohail Dasgupta and Bryce Gadway for useful conversations. H.M. was supported by the Research Experience for Undergraduates program (NSF grant PHY-1852581) and by the Caltech Applied Physics Department Yariv/Blauvelt Fellowship. K.H. was supported by the Welch Foundation Grant No. C1872, the National Science Foundation Grant No. PHY1848304, and also benefited from discussions at the KITP, which was supported in part by the National Science Foundation under Grant No. NSF PHY-1748958.
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0014671
NSFPHY-1852581
CaltechUNSPECIFIED
Robert A. Welch FoundationC1872
NSFPHY-1848304
NSFPHY-1748958
Issue or Number:6
DOI:10.1103/physreva.105.063320
Record Number:CaltechAUTHORS:20220715-332436000
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20220715-332436000
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:115628
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:18 Jul 2022 15:12
Last Modified:18 Jul 2022 15:12

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