Microscopic characterization of Ising conformal field theory in Rydberg chains

Slagle, Kevin; Aasen, David; Pichler, Hannes; Mong, Roger S. K.; Fendley, Paul; Chen, Xie; Endres, Manuel; Alicea, Jason

doi:10.1103/physrevb.104.235109

Microscopic characterization of Ising conformal field theory in Rydberg chains

Journal Article · Sun Dec 05 23:00:00 EST 2021 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.104.235109· OSTI ID:1982768

^[1]; ^[2]; Pichler, Hannes ^[3]; Mong, Roger S. K. ^[4]; Fendley, Paul ^[5]; Chen, Xie ^[1]; Endres, Manuel ^[1]; Alicea, Jason ^[1]

California Institute of Technology (CalTech), Pasadena, CA (United States)
Univ. of California, Santa Barbara, CA (United States)
California Institute of Technology (CalTech), Pasadena, CA (United States); Univ. Innsbruck (Austria); Austrian Academy of Sciences, Innsbruck (Austria). Institute for Quantum Optics and Quantum Information
Univ. of Pittsburgh, PA (United States)
Univ. of Oxford (United Kingdom)

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. Here, 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.

View Accepted Manuscript (DOE)

Research Organization:: National Quantum Information Science (QIS) Research Centers (United States). The Quantum Science Center (QSC)

Sponsoring Organization:: USDOE Office of Science (SC); US Army Research Office (ARO); National Science Foundation (NSF); Gordon and Betty Moore Foundation (GBMF); US Air Force Office of Scientific Research (AFOSR); Engineering and Physical Sciences Research Council (EPSRC)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1982768

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 23 Vol. 104; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (38)

Superconformal invariance in two dimensions and the tricritical Ising model Friedan, Daniel; Qiu, Zongan; Shenker, Stephen Physics Letters B, Vol. 151, Issue 1 https://doi.org/10.1016/0370-2693(85)90819-6	journal	January 1985
Operator content of two-dimensional conformally invariant theories Cardy, John L. Nuclear Physics B, Vol. 270 https://doi.org/10.1016/0550-3213(86)90552-3	journal	January 1986
The scaling region of the tricritical Ising model in two dimensions Lässig, Michael; Mussardo, Giuseppe; Cardy, John L. Nuclear Physics B, Vol. 348, Issue 3 https://doi.org/10.1016/0550-3213(91)90206-D	journal	January 1991
Nonabelions in the fractional quantum hall effect Moore, Gregory; Read, Nicholas Nuclear Physics B, Vol. 360, Issue 2-3 https://doi.org/10.1016/0550-3213(91)90407-O	journal	August 1991
Cosmological experiments in superfluid helium? Zurek, W. H. Nature, Vol. 317, Issue 6037 https://doi.org/10.1038/317505a0	journal	October 1985
Probing many-body dynamics on a 51-atom quantum simulator Bernien, Hannes; Schwartz, Sylvain; Keesling, Alexander Nature, Vol. 551, Issue 7682 https://doi.org/10.1038/nature24622	journal	November 2017
In situ single-atom array synthesis using dynamic holographic optical tweezers Kim, Hyosub; Lee, Woojun; Lee, Han-gyeol Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms13317	journal	October 2016
Weak ergodicity breaking from quantum many-body scars Turner, C. J.; Michailidis, A. A.; Abanin, D. A. Nature Physics, Vol. 14, Issue 7 https://doi.org/10.1038/s41567-018-0137-5	journal	May 2018
Many-body physics with individually controlled Rydberg atoms Browaeys, Antoine; Lahaye, Thierry Nature Physics, Vol. 16, Issue 2 https://doi.org/10.1038/s41567-019-0733-z	journal	January 2020
Predicting many properties of a quantum system from very few measurements Huang, Hsin-Yuan; Kueng, Richard; Preskill, John Nature Physics, Vol. 16, Issue 10 https://doi.org/10.1038/s41567-020-0932-7	journal	June 2020
Quantum Kibble–Zurek mechanism and critical dynamics on a programmable Rydberg simulator Keesling, Alexander; Omran, Ahmed; Levine, Harry Nature, Vol. 568, Issue 7751 https://doi.org/10.1038/s41586-019-1070-1	journal	April 2019
Quantum phases of matter on a 256-atom programmable quantum simulator Ebadi, Sepehr; Wang, Tout T.; Levine, Harry Nature, Vol. 595, Issue 7866 https://doi.org/10.1038/s41586-021-03582-4	journal	July 2021
Quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms Scholl, Pascal; Schuler, Michael; Williams, Hannah J. Nature, Vol. 595, Issue 7866 https://doi.org/10.1038/s41586-021-03585-1	journal	July 2021
Glide symmetry breaking and Ising criticality in the quasi-1D magnet CoNb ₂ O ₆ Fava, Michele; Coldea, Radu; Parameswaran, S. A. Proceedings of the National Academy of Sciences, Vol. 117, Issue 41 https://doi.org/10.1073/pnas.2007986117	journal	September 2020
An introduction to conformal field theory Gaberdiel, Matthias R. Reports on Progress in Physics, Vol. 63, Issue 4 https://doi.org/10.1088/0034-4885/63/4/203	journal	March 2000
Conformal invariance and universality in finite-size scaling Cardy, J. L. Journal of Physics A: Mathematical and General, Vol. 17, Issue 7 https://doi.org/10.1088/0305-4470/17/7/003	journal	May 1984
Topology of cosmic domains and strings Kibble, T. W. B. Journal of Physics A: Mathematical and General, Vol. 9, Issue 8 https://doi.org/10.1088/0305-4470/9/8/029	journal	August 1976
Interacting Majorana fermions Rahmani, Armin; Franz, Marcel Reports on Progress in Physics, Vol. 82, Issue 8 https://doi.org/10.1088/1361-6633/ab28ef	journal	July 2019
Interacting Fibonacci anyons in a Rydberg gas Lesanovsky, Igor; Katsura, Hosho Physical Review A, Vol. 86, Issue 4 https://doi.org/10.1103/PhysRevA.86.041601	journal	October 2012
Numerical study of the chiral Z 3 quantum phase transition in one spatial dimension Samajdar, Rhine; Choi, Soonwon; Pichler, Hannes Physical Review A, Vol. 98, Issue 2 https://doi.org/10.1103/PhysRevA.98.023614	journal	August 2018
Coupled wire construction of a topological phase with chiral tricritical Ising edge modes Li, Chengshu; Ebisu, Hiromi; Sahoo, Sharmistha Physical Review B, Vol. 102, Issue 16 https://doi.org/10.1103/PhysRevB.102.165123	journal	October 2020
Conformal theory of the two-dimensional Ising model with homogeneous boundary conditions and with disordred boundary fields Burkhardt, Theodore W.; Guim, Ihnsouk Physical Review B, Vol. 47, Issue 21 https://doi.org/10.1103/PhysRevB.47.14306	journal	June 1993
Antiferromagnetic Ising chain in a mixed transverse and longitudinal magnetic field Ovchinnikov, A. A.; Dmitriev, D. V.; Krivnov, V. Ya. Physical Review B, Vol. 68, Issue 21 https://doi.org/10.1103/PhysRevB.68.214406	journal	December 2003
Competing density-wave orders in a one-dimensional hard-boson model Fendley, Paul; Sengupta, K.; Sachdev, Subir Physical Review B, Vol. 69, Issue 7 https://doi.org/10.1103/PhysRevB.69.075106	journal	February 2004
From Luttinger liquid to non-Abelian quantum Hall states Teo, Jeffrey C. Y.; Kane, C. L. Physical Review B, Vol. 89, Issue 8 https://doi.org/10.1103/PhysRevB.89.085101	journal	February 2014
Quantum field theory for the chiral clock transition in one spatial dimension Whitsitt, Seth; Samajdar, Rhine; Sachdev, Subir Physical Review B, Vol. 98, Issue 20 https://doi.org/10.1103/PhysRevB.98.205118	journal	November 2018
Diagnosing Potts criticality and two-stage melting in one-dimensional hard-core boson models Giudici, G.; Angelone, A.; Magnifico, G. Physical Review B, Vol. 99, Issue 9 https://doi.org/10.1103/PhysRevB.99.094434	journal	March 2019
Lattice Supersymmetry and Order-Disorder Coexistence in the Tricritical Ising Model O’Brien, Edward; Fendley, Paul Physical Review Letters, Vol. 120, Issue 20 https://doi.org/10.1103/PhysRevLett.120.206403	journal	May 2018
Floating Phase versus Chiral Transition in a 1D Hard-Boson Model Chepiga, Natalia; Mila, Frédéric Physical Review Letters, Vol. 122, Issue 1 https://doi.org/10.1103/PhysRevLett.122.017205	journal	January 2019
Conformal invariance, the central charge, and universal finite-size amplitudes at criticality Blöte, H. W. J.; Cardy, John L.; Nightingale, M. P. Physical Review Letters, Vol. 56, Issue 7 https://doi.org/10.1103/PhysRevLett.56.742	journal	February 1986
Universal term in the free energy at a critical point and the conformal anomaly Affleck, Ian Physical Review Letters, Vol. 56, Issue 7 https://doi.org/10.1103/PhysRevLett.56.746	journal	February 1986
Fractional Quantum Hall Effect in an Array of Quantum Wires Kane, C. L.; Mukhopadhyay, Ranjan; Lubensky, T. C. Physical Review Letters, Vol. 88, Issue 3 https://doi.org/10.1103/PhysRevLett.88.036401	journal	January 2002
Interacting Anyons in Topological Quantum Liquids: The Golden Chain Feiguin, Adrian; Trebst, Simon; Ludwig, Andreas W. W. Physical Review Letters, Vol. 98, Issue 16 https://doi.org/10.1103/PhysRevLett.98.160409	journal	April 2007
Electrical Probes of the Non-Abelian Spin Liquid in Kitaev Materials Aasen, David; Mong, Roger S. K.; Hunt, Benjamin M. Physical Review X, Vol. 10, Issue 3 https://doi.org/10.1103/PhysRevX.10.031014	journal	July 2020
Quantum simulation and computing with Rydberg-interacting qubits Morgado, M.; Whitlock, S. AVS Quantum Science, Vol. 3, Issue 2 https://doi.org/10.1116/5.0036562	journal	May 2021
Quantum Criticality in an Ising Chain: Experimental Evidence for Emergent E ₈ Symmetry Coldea, R.; Tennant, D. A.; Wheeler, E. M. Science, Vol. 327, Issue 5962 https://doi.org/10.1126/science.1180085	journal	January 2010
An atom-by-atom assembler of defect-free arbitrary two-dimensional atomic arrays Barredo, Daniel; de Léséleuc, Sylvain; Lienhard, Vincent Science, Vol. 354, Issue 6315 https://doi.org/10.1126/science.aah3778	journal	November 2016
DMRG investigation of constrained models: from quantum dimer and quantum loop ladders to hard-boson and Fibonacci anyon chains Chepiga, Natalia; Mila, Frédéric SciPost Physics, Vol. 6, Issue 3 https://doi.org/10.21468/SciPostPhys.6.3.033	journal	January 2019

Similar Records

Quantum spin liquids bootstrapped from Ising criticality in Rydberg arrays

Journal Article · Wed Sep 14 00:00:00 EDT 2022 · Physical Review. B · OSTI ID:1982786

Transverse-Field Ising Dynamics in a Rydberg-Dressed Atomic Gas

Journal Article · Mon Feb 10 23:00:00 EST 2020 · Physical Review Letters · OSTI ID:1803602

Tricriticality in crossed Ising chains

Journal Article · Mon Oct 09 00:00:00 EDT 2017 · Physical Review E · OSTI ID:1477008

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Rydberg atoms & molecules
conformal field theory
exact diagonalization
materials science
physics

Microscopic characterization of Ising conformal field theory in Rydberg chains

Citation Formats

References (38)

Similar Records

Related Subjects