Magnetism in the two-dimensional dipolar XY model

Sbierski, Björn; Bintz, Marcus; Chatterjee, Shubhayu; Schuler, Michael; Yao, Norman Y.; Pollet, Lode

doi:10.1103/physrevb.109.144411

Title: Magnetism in the two-dimensional dipolar XY model

Journal Article · 12 April 2024 · Physical Review. B

DOI: https://doi.org/10.1103/physrevb.109.144411 · OSTI ID:2407304

^[1];

^[2];

^[3]; Schuler, Michael ^[4]; Yao, Norman Y. ^[5];

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Ludwig Maximilian Univ. of Munich, Munich (Germany); Munich Center for Quantum Science and Technology (MCQST), Munich (Germany)
Harvard Univ., Cambridge, MA (United States)
Carnegie Mellon Univ., Pittsburgh, PA (United States); University of California, Berkeley, CA (United States)
Univ. Innsbruck (Austria)
Harvard Univ., Cambridge, MA (United States); University of California, Berkeley, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Here, motivated by a recent experiment on a square-lattice Rydberg atom array realizing a long-range dipolar XY model [C. Chen et al., Nature (London) 616, 691 (2023)], we numerically study the model's equilibrium properties. We obtain the phase diagram, critical properties, entropies, variance of the magnetization, and site-resolved correlation functions. We consider both ferromagnetic and antiferromagnetic interactions and apply quantum Monte Carlo and pseudo-Majorana functional renormalization group techniques, generalizing the latter to a U⁡(1) symmetric setting. Our simulations perform extensive thermometry in dipolar Rydberg atom arrays and establish conditions for adiabaticity and thermodynamic equilibrium. On the ferromagnetic side of the experiment, we determine the entropy per particle S/N≈0.5, close to the one at the critical temperature, S_c/N=0.585⁢(15). The simulations suggest the presence of an out-of-equilibrium plateau at large distances in the correlation function, thus motivating future studies on the nonequilibrium dynamics of the system.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 2407304

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 14 Vol. 109; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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75 CONDENSED MATTER PHYSICS
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Title: Magnetism in the two-dimensional dipolar XY model

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