Localization and Criticality in Antiblockaded Two-Dimensional Rydberg Atom Arrays

Liu, Fangli; Yang, Zhi-Cheng; Bienias, Przemyslaw; Iadecola, Thomas; Gorshkov, Alexey V.

doi:10.1103/physrevlett.128.013603

Title: Localization and Criticality in Antiblockaded Two-Dimensional Rydberg Atom Arrays

Journal Article · 06 January 2022 · Physical Review Letters

DOI: https://doi.org/10.1103/physrevlett.128.013603 · OSTI ID:1980249

Liu, Fangli ^[1];

^[2]; Bienias, Przemyslaw ^[2]; Iadecola, Thomas ^[3];

^[2]

Univ. of Maryland, College Park, MD (United States); National Inst. of Standards and Technology (NIST), Gaithersburg, MD (United States); OSTI
Univ. of Maryland, College Park, MD (United States); National Inst. of Standards and Technology (NIST), Gaithersburg, MD (United States)
Iowa State Univ., Ames, IA (United States)

Controllable Rydberg atom arrays have provided new insights into fundamental properties of quantum matter both in and out of equilibrium. In this work, we study the effect of experimentally relevant positional disorder on Rydberg atoms trapped in a 2D square lattice under antiblockade (facilitation) conditions. We show that the facilitation conditions lead the connectivity graph of a particular subspace of the full Hilbert space to form a 2D Lieb lattice, which features a singular flat band. Remarkably, we find three distinct regimes as the disorder strength is varied: a critical regime, a delocalized but nonergodic regime, and a regime with a disorder-induced flat band. The critical regime’s existence depends crucially upon the singular flat band in our model, and is absent in any 1D array or ladder system. We propose to use quench dynamics to probe the three different regimes experimentally.

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Research Organization:: Univ. of Maryland, College Park, MD (United States); Duke Univ., Durham, NC (United States)

Sponsoring Organization:: USDOE Office of Science (SC); US Office of Naval Research (ONR); US Air Force Office of Scientific Research (AFOSR)

Grant/Contract Number:: SC0019040; SC0019449; SC0020312

OSTI ID:: 1980249

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 1 Vol. 128; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (64)

Line-Graph Lattices: Euclidean and Non-Euclidean Flat Bands, and Implementations in Circuit Quantum Electrodynamics Kollár, Alicia J.; Fitzpatrick, Mattias; Sarnak, Peter Communications in Mathematical Physics, Vol. 376, Issue 3 https://doi.org/10.1007/s00220-019-03645-8	journal	December 2019
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
Correlated insulator behaviour at half-filling in magic-angle graphene superlattices Cao, Yuan; Fatemi, Valla; Demir, Ahmet Nature, Vol. 556, Issue 7699 https://doi.org/10.1038/nature26154	journal	March 2018
Unconventional superconductivity in magic-angle graphene superlattices Cao, Yuan; Fatemi, Valla; Fang, Shiang Nature, Vol. 556, Issue 7699 https://doi.org/10.1038/nature26160	journal	March 2018
Experimental realization and characterization of an electronic Lieb lattice Slot, Marlou R.; Gardenier, Thomas S.; Jacobse, Peter H. Nature Physics, Vol. 13, Issue 7 https://doi.org/10.1038/nphys4105	journal	April 2017
A Lieb-like lattice in a covalent-organic framework and its Stoner ferromagnetism Jiang, Wei; Huang, Huaqing; Liu, Feng Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-10094-3	journal	May 2019
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
Synthetic three-dimensional atomic structures assembled atom by atom Barredo, Daniel; Lienhard, Vincent; de Léséleuc, Sylvain Nature, Vol. 561, Issue 7721 https://doi.org/10.1038/s41586-018-0450-2	journal	September 2018
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
Hyperbolic lattices in circuit quantum electrodynamics Kollár, Alicia J.; Fitzpatrick, Mattias; Houck, Andrew A. Nature, Vol. 571, Issue 7763 https://doi.org/10.1038/s41586-019-1348-3	journal	July 2019
Artificial flat band systems: from lattice models to experiments Leykam, Daniel; Andreanov, Alexei; Flach, Sergej Advances in Physics: X, Vol. 3, Issue 1 https://doi.org/10.1080/23746149.2018.1473052	journal	January 2018
Ferromagnetism in the Hubbard model on line graphs and further considerations Mielke, A. Journal of Physics A: Mathematical and General, Vol. 24, Issue 14 https://doi.org/10.1088/0305-4470/24/14/018	journal	July 1991
Localization properties of the periodic random Anderson model Hilke, M. Journal of Physics A: Mathematical and General, Vol. 30, Issue 11 https://doi.org/10.1088/0305-4470/30/11/004	journal	June 1997
Experimental observation of bulk and edge transport in photonic Lieb lattices Guzmán-Silva, D.; Mejía-Cortés, C.; Bandres, M. A. New Journal of Physics, Vol. 16, Issue 6 https://doi.org/10.1088/1367-2630/16/6/063061	journal	June 2014
From classical to quantum non-equilibrium dynamics of Rydberg excitations in optical lattices Mattioli, Marco; Glätzle, Alexander W.; Lechner, Wolfgang New Journal of Physics, Vol. 17, Issue 11 https://doi.org/10.1088/1367-2630/17/11/113039	journal	November 2015
Flat-band many-body localization and ergodicity breaking in the Creutz ladder Kuno, Yoshihito; Orito, Takahiro; Ichinose, Ikuo New Journal of Physics, Vol. 22, Issue 1 https://doi.org/10.1088/1367-2630/ab6352	journal	January 2020
Synthetic lattices, flat bands and localization in Rydberg quantum simulators Ostmann, Maike; Marcuzzi, Matteo; Minář, Jiří Quantum Science and Technology, Vol. 4, Issue 2 https://doi.org/10.1088/2058-9565/aaf29d	journal	January 2019
Anderson transition in three-dimensional systems with non-Hermitian disorder Huang, Yi; Shklovskii, B. I. Physical Review B, Vol. 101, Issue 1 https://doi.org/10.1103/PhysRevB.101.014204	journal	January 2020
Many-body flatband localization Danieli, Carlo; Andreanov, Alexei; Flach, Sergej Physical Review B, Vol. 102, Issue 4 https://doi.org/10.1103/PhysRevB.102.041116	journal	July 2020
Avoided quantum criticality in exact numerical simulations of a single disordered Weyl cone Wilson, Justin H.; Huse, David A.; Das Sarma, S. Physical Review B, Vol. 102, Issue 10 https://doi.org/10.1103/PhysRevB.102.100201	journal	September 2020
Statistics of spectra of disordered systems near the metal-insulator transition Shklovskii, B. I.; Shapiro, B.; Sears, B. R. Physical Review B, Vol. 47, Issue 17 https://doi.org/10.1103/PhysRevB.47.11487	journal	May 1993
Band touching from real-space topology in frustrated hopping models Bergman, Doron L.; Wu, Congjun; Balents, Leon Physical Review B, Vol. 78, Issue 12 https://doi.org/10.1103/PhysRevB.78.125104	journal	September 2008
Anderson localization in tight-binding models with flat bands Chalker, J. T.; Pickles, T. S.; Shukla, Pragya Physical Review B, Vol. 82, Issue 10 https://doi.org/10.1103/PhysRevB.82.104209	journal	September 2010
Bose condensation in flat bands Huber, Sebastian D.; Altman, Ehud Physical Review B, Vol. 82, Issue 18 https://doi.org/10.1103/PhysRevB.82.184502	journal	November 2010
Flat band states: Disorder and nonlinearity Leykam, Daniel; Flach, Sergej; Bahat-Treidel, Omri Physical Review B, Vol. 88, Issue 22 https://doi.org/10.1103/PhysRevB.88.224203	journal	December 2013
Nematic quantum liquid crystals of bosons in frustrated lattices Zhu, Guanyu; Koch, Jens; Martin, Ivar Physical Review B, Vol. 93, Issue 14 https://doi.org/10.1103/PhysRevB.93.144508	journal	April 2016
Lifetime of flatband states Gneiting, Clemens; Li, Zhou; Nori, Franco Physical Review B, Vol. 98, Issue 13 https://doi.org/10.1103/PhysRevB.98.134203	journal	October 2018
Disorder perturbed flat bands. II. Search for criticality Shukla, Pragya Physical Review B, Vol. 98, Issue 18 https://doi.org/10.1103/PhysRevB.98.184202	journal	November 2018
Classification of flat bands according to the band-crossing singularity of Bloch wave functions Rhim, Jun-Won; Yang, Bohm-Jung Physical Review B, Vol. 99, Issue 4 https://doi.org/10.1103/PhysRevB.99.045107	journal	January 2019
High-Temperature Fractional Quantum Hall States Tang, Evelyn; Mei, Jia-Wei; Wen, Xiao-Gang Physical Review Letters, Vol. 106, Issue 23 https://doi.org/10.1103/PhysRevLett.106.236802	journal	June 2011
Nearly Flatbands with Nontrivial Topology Sun, Kai; Gu, Zhengcheng; Katsura, Hosho Physical Review Letters, Vol. 106, Issue 23 https://doi.org/10.1103/PhysRevLett.106.236803	journal	June 2011
Fractional Quantum Hall States at Zero Magnetic Field Neupert, Titus; Santos, Luiz; Chamon, Claudio Physical Review Letters, Vol. 106, Issue 23 https://doi.org/10.1103/PhysRevLett.106.236804	journal	June 2011
Fractional Chern Insulators in Topological Flat Bands with Higher Chern Number Liu, Zhao; Bergholtz, Emil J.; Fan, Heng Physical Review Letters, Vol. 109, Issue 18 https://doi.org/10.1103/PhysRevLett.109.186805	journal	November 2012
Topological Flat Bands from Dipolar Spin Systems Yao, N. Y.; Laumann, C. R.; Gorshkov, A. V. Physical Review Letters, Vol. 109, Issue 26 https://doi.org/10.1103/PhysRevLett.109.266804	journal	December 2012
Realizing Fractional Chern Insulators in Dipolar Spin Systems Yao, N. Y.; Gorshkov, A. V.; Laumann, C. R. Physical Review Letters, Vol. 110, Issue 18 https://doi.org/10.1103/PhysRevLett.110.185302	journal	April 2013
Universal Behavior beyond Multifractality in Quantum Many-Body Systems Luitz, David J.; Alet, Fabien; Laflorencie, Nicolas Physical Review Letters, Vol. 112, Issue 5 https://doi.org/10.1103/PhysRevLett.112.057203	journal	February 2014
Anderson Localization on the Bethe Lattice: Nonergodicity of Extended States De Luca, A.; Altshuler, B. L.; Kravtsov, V. E. Physical Review Letters, Vol. 113, Issue 4 https://doi.org/10.1103/PhysRevLett.113.046806	journal	July 2014
Observation of Localized States in Lieb Photonic Lattices Vicencio, Rodrigo A.; Cantillano, Camilo; Morales-Inostroza, Luis Physical Review Letters, Vol. 114, Issue 24 https://doi.org/10.1103/PhysRevLett.114.245503	journal	June 2015
Observation of a Localized Flat-Band State in a Photonic Lieb Lattice Mukherjee, Sebabrata; Spracklen, Alexander; Choudhury, Debaditya Physical Review Letters, Vol. 114, Issue 24 https://doi.org/10.1103/PhysRevLett.114.245504	journal	June 2015
Bosonic Condensation and Disorder-Induced Localization in a Flat Band Baboux, F.; Ge, L.; Jacqmin, T. Physical Review Letters, Vol. 116, Issue 6 https://doi.org/10.1103/PhysRevLett.116.066402	journal	February 2016
Conical Diffraction and Composite Lieb Bosons in Photonic Lattices Diebel, Falko; Leykam, Daniel; Kroesen, Sebastian Physical Review Letters, Vol. 116, Issue 18 https://doi.org/10.1103/PhysRevLett.116.183902	journal	May 2016
Quantum Levy Flights and Multifractality of Dipolar Excitations in a Random System Deng, X.; Altshuler, B. L.; Shlyapnikov, G. V. Physical Review Letters, Vol. 117, Issue 2 https://doi.org/10.1103/PhysRevLett.117.020401	journal	July 2016
Nonergodic Phases in Strongly Disordered Random Regular Graphs Altshuler, B. L.; Cuevas, E.; Ioffe, L. B. Physical Review Letters, Vol. 117, Issue 15 https://doi.org/10.1103/PhysRevLett.117.156601	journal	October 2016
Facilitation Dynamics and Localization Phenomena in Rydberg Lattice Gases with Position Disorder Marcuzzi, Matteo; Minář, Jiří; Barredo, Daniel Physical Review Letters, Vol. 118, Issue 6 https://doi.org/10.1103/PhysRevLett.118.063606	journal	February 2017
High-Fidelity Control and Entanglement of Rydberg-Atom Qubits Levine, Harry; Keesling, Alexander; Omran, Ahmed Physical Review Letters, Vol. 121, Issue 12 https://doi.org/10.1103/PhysRevLett.121.123603	journal	September 2018
Many-Body Multifractality throughout Bosonic Superfluid and Mott Insulator Phases Lindinger, Jakob; Buchleitner, Andreas; Rodríguez, Alberto Physical Review Letters, Vol. 122, Issue 10 https://doi.org/10.1103/PhysRevLett.122.106603	journal	March 2019
Parallel Implementation of High-Fidelity Multiqubit Gates with Neutral Atoms Levine, Harry; Keesling, Alexander; Semeghini, Giulia Physical Review Letters, Vol. 123, Issue 17 https://doi.org/10.1103/PhysRevLett.123.170503	journal	October 2019
Multifractal Scalings Across the Many-Body Localization Transition Macé, Nicolas; Alet, Fabien; Laflorencie, Nicolas Physical Review Letters, Vol. 123, Issue 18 https://doi.org/10.1103/PhysRevLett.123.180601	journal	October 2019
Anomalous Diffusion and Localization in a Positionally Disordered Quantum Spin Array Menu, Raphaël; Roscilde, Tommaso Physical Review Letters, Vol. 124, Issue 13 https://doi.org/10.1103/PhysRevLett.124.130604	journal	April 2020
Two theorems on the Hubbard model Lieb, Elliott H. Physical Review Letters, Vol. 62, Issue 10 https://doi.org/10.1103/PhysRevLett.62.1201	journal	March 1989
Inverse Anderson Transition Caused by Flatbands Goda, Masaki; Nishino, Shinya; Matsuda, Hiroki Physical Review Letters, Vol. 96, Issue 12 https://doi.org/10.1103/PhysRevLett.96.126401	journal	March 2006
Disorder in twisted bilayer graphene Wilson, Justin H.; Fu, Yixing; Das Sarma, S. Physical Review Research, Vol. 2, Issue 2 https://doi.org/10.1103/PhysRevResearch.2.023325	journal	June 2020
Fractional Chern Insulator Regnault, N.; Bernevig, B. Andrei Physical Review X, Vol. 1, Issue 2 https://doi.org/10.1103/PhysRevX.1.021014	journal	December 2011
Probing the Quench Dynamics of Antiferromagnetic Correlations in a 2D Quantum Ising Spin System Guardado-Sanchez, Elmer; Brown, Peter T.; Mitra, Debayan Physical Review X, Vol. 8, Issue 2 https://doi.org/10.1103/PhysRevX.8.021069	journal	June 2018
Origin of Mott Insulating Behavior and Superconductivity in Twisted Bilayer Graphene Po, Hoi Chun; Zou, Liujun; Vishwanath, Ashvin Physical Review X, Vol. 8, Issue 3 https://doi.org/10.1103/PhysRevX.8.031089	journal	September 2018
Anderson transitions Evers, Ferdinand; Mirlin, Alexander D. Reviews of Modern Physics, Vol. 80, Issue 4 https://doi.org/10.1103/RevModPhys.80.1355	journal	October 2008
Coherent driving and freezing of bosonic matter wave in an optical Lieb lattice Taie, Shintaro; Ozawa, Hideki; Ichinose, Tomohiro Science Advances, Vol. 1, Issue 10 https://doi.org/10.1126/sciadv.1500854	journal	November 2015
Atom-by-atom assembly of defect-free one-dimensional cold atom arrays Endres, Manuel; Bernien, Hannes; Keesling, Alexander Science, Vol. 354, Issue 6315 https://doi.org/10.1126/science.aah3752	journal	November 2016
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
Tuning superconductivity in twisted bilayer graphene Yankowitz, Matthew; Chen, Shaowen; Polshyn, Hryhoriy Science, Vol. 363, Issue 6431 https://doi.org/10.1126/science.aav1910	journal	January 2019
Generation and manipulation of Schrödinger cat states in Rydberg atom arrays Omran, A.; Levine, H.; Keesling, A. Science, Vol. 365, Issue 6453 https://doi.org/10.1126/science.aax9743	journal	August 2019
Topological flat band Models and Fractional Chern Insulators Bergholtz, Emil J.; Liu, Zhao International Journal of Modern Physics B, Vol. 27, Issue 24 https://doi.org/10.1142/S021797921330017X	journal	September 2013
Flat-Band Localization in Weakly Disordered System Nishino, Shinya; Matsuda, Hiroki; Goda, Masaki Journal of the Physical Society of Japan, Vol. 76, Issue 2 https://doi.org/10.1143/JPSJ.76.024709	journal	February 2007
Demonstration of flat-band image transmission in optically induced Lieb photonic lattices Xia, Shiqiang; Hu, Yi; Song, Daohong Optics Letters, Vol. 41, Issue 7 https://doi.org/10.1364/OL.41.001435	journal	January 2016

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Title: Localization and Criticality in Antiblockaded Two-Dimensional Rydberg Atom Arrays

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