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Qubit Regularization of Asymptotic Freedom

Bhattacharya, Tanmoy and Buser, Alexander J. and Chandrasekharan, Shailesh and Gupta, Rajan and Singh, Hersh (2021) Qubit Regularization of Asymptotic Freedom. Physical Review Letters, 126 (17). Art. No. 172001. ISSN 0031-9007. doi:10.1103/physrevlett.126.172001.

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We provide strong evidence that the asymptotically free (1+1)-dimensional nonlinear O(3) sigma model can be regularized using a quantum lattice Hamiltonian, referred to as the “Heisenberg comb,” that acts on a Hilbert space with only two qubits per spatial lattice site. The Heisenberg comb consists of a spin-half antiferromagnetic Heisenberg chain coupled antiferromagnetically to a second local spin-half particle at every lattice site. Using a world-line Monte Carlo method, we show that the model reproduces the universal step-scaling function of the traditional model up to correlation lengths of 200000 in lattice units and argue how the continuum limit could emerge. We provide a quantum circuit description of the time evolution of the model and argue that near-term quantum computers may suffice to demonstrate asymptotic freedom.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Bhattacharya, Tanmoy0000-0002-1060-652X
Buser, Alexander J.0000-0002-4051-3340
Chandrasekharan, Shailesh0000-0002-3711-4998
Gupta, Rajan0000-0003-1784-3058
Singh, Hersh0000-0002-2002-6959
Additional Information:© 2021 The Author(s). Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3. (Received 16 December 2020; accepted 22 March 2021; published 27 April 2021) S. C. and H. S. would like to thank Thomas Barthel, Moritz Binder, Ribhu Kaul, Hanqing Liu, and Uwe-Jens Wiese for helpful discussions on the subject. The material presented here is based on work supported by the U.S. Department of Energy, Office of Science—High Energy Physics Contract No. KA2401032 (Triad National Security, LLC Contract Grant No. 89233218CNA000001) to Los Alamos National Laboratory. S. C. is supported by a Duke subcontract of this grant. S. C. and H. S. were also supported for this work in part by the U.S. Department of Energy, Office of Science, Nuclear Physics program under Award No. DE-FG02-05ER41368.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Department of Energy (DOE)KA2401032
Department of Energy (DOE)89233218CNA000001
Department of Energy (DOE)DE-FG02-05ER41368
Issue or Number:17
Record Number:CaltechAUTHORS:20210610-153552455
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:109476
Deposited By: George Porter
Deposited On:11 Jun 2021 14:39
Last Modified:16 Nov 2021 19:36

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