Topological Spin Liquids
ORAL · D17 · ID: 2155231
Presentations
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From Foliated to Exotic Field Theories for Gapped Fracton Phases
ORAL
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Publication: Ryan C. Spieler, "Exotic field theories for (hybrid) fracton phases from imposing constraints in foliated field theory", JHEP 09 (2023) 178. arXiv: 2304.13067.
Presenters
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Ryan Spieler
University of Texas at Austin
Authors
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Ryan Spieler
University of Texas at Austin
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Measuring Topological Field Theories: Lattice Models and Field-Theoretic Description
ORAL
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Publication: [Ati88] Michael F Atiyah. Topological quantum field theory. Publications Mathematiques de l'IHES, 68:175–186, 1988.
[AZ22] Shachar Ashkenazi and Erez Zohar. Duality as a feasible physical transformation for quantum simulation. Physical Review A, 105(2):022431, 2022.
[BBCW19] Maissam Barkeshli, Parsa Bonderson, Meng Cheng, and Zhenghan Wang. Symmetry fractionalization, defects, and gauging of topological phases. Physical Review B, 100(11):115147, 2019.
[BCH19] Francesco Benini, Clay C ́ordova, and Po-Shen Hsin. On 2-group global symmetries and their anomalies. Journal of High Energy Physics, 2019(3):1–72, 2019.
[BKKK22] Sergey Bravyi, Isaac Kim, Alexander Kliesch, and Robert Koenig. Adaptive constant-depth circuits for manipulating non-abelian anyons. arXiv preprint arXiv:2205.01933, 2022.
[CC08] Claudio Castelnovo and Claudio Chamon. Quantum topological phase transition at the microscopic level. Physical Review B, 77(5):054433, 2008.
[CDH+23] Xie Chen, Arpit Dua, Po-Shen Hsin, Chao-Ming Jian, Wilbur Shirley, and Cenke Xu. Loops in 4+ 1d topological phases. SciPost Physics, 15(1):001, 2023.
[CGJQ17] Meng Cheng, Zheng-Cheng Gu, Shenghan Jiang, and Yang Qi. Exactly solvable models for symmetry-enriched topological phases. Physical Review B, 96(11):115107, 2017.
[CGLW13] Xie Chen, Zheng-Cheng Gu, Zheng-Xin Liu, and Xiao-Gang Wen. Symmetry protected topological orders and the group cohomology of their symmetry group. Physical Review B, 87(15):155114, 2013.
[CGW11] Xie Chen, Zheng-Cheng Gu, and Xiao-Gang Wen. Classification of gapped symmetric phases in one-dimensional spin systems. Physical review b, 83(3):035107, 2011.
[CLV14] Xie Chen, Yuan-Ming Lu, and Ashvin Vishwanath. Symmetry-protected topological phases from decorated domain walls. Nature communications, 5(1):3507, 2014.
[CO19] Clay Cordova and Kantaro Ohmori. Anomaly obstructions to symmetry preserving gapped phases. arXiv preprint arXiv:1910.04962, 2019.
[CT23] Yu-An Chen and Sri Tata. Higher cup products on hypercubic lattices: application to lattice models of topological phases. Journal of Mathematical Physics, 64(9), 2023.
[DHM+23] Kazuki Doi, Jonathan Harper, Ali Mollabashi, Tadashi Takayanagi, and Yusuke Taki. Pseudoentropy in ds/cft and timelike entanglement entropy. Physical Review Letters, 130(3):031601, 2023.
[DW90] Robbert Dijkgraaf and Edward Witten. Topological gauge theories and group cohomology. Communications in Mathematical Physics, 129:393–429, 1990.
[ECD+22] Tyler D Ellison, Yu-An Chen, Arpit Dua, Wilbur Shirley, Nathanan Tantivasadakarn, and Dominic J Williamson. Pauli stabilizer models of twisted quantum doubles. PRX Quantum, 3(1):010353, 2022.
[ESBD12] Dominic V Else, Ilai Schwarz, Stephen D Bartlett, and Andrew C Doherty. Symmetry-protected phases for measurement-based quantum computation. Physical review letters, 108(24):240505, 2012.
[GKSW15] Davide Gaiotto, Anton Kapustin, Nathan Seiberg, and Brian Willett. Generalized global symmetries. Journal of High Energy Physics, 2015(2):1–62, 2015.
[HJJ22] Po-Shen Hsin, Wenjie Ji, and Chao-Ming Jian. Exotic invertible phases with higher-group symmetries. SciPost Physics, 12(2):052, 2022.
[HLL+23] Jung Hoon Han, Ethan Lake, Ho Tat Lam, Ruben Verresen, and Yizhi You. Topological quantum chains protected by dipolar and other modulated symmetries. arXiv preprint arXiv:2309.10036, 2023.
[HWW13] Yuting Hu, Yidun Wan, and Yong-Shi Wu. Twisted quantum double model of topological phases in two dimensions. Physical Review B, 87(12):125114, 2013.
[JR17] Shenghan Jiang and Ying Ran. Anyon condensation and a generic tensor-network construction for symmetry-protected topological phases. Physical Review B, 95(12):125107, 2017.
[JW20] Wenjie Ji and Xiao-Gang Wen. Categorical symmetry and noninvertible anomaly in symmetry-breaking and topological phase transitions. Physical Review Research, 2(3):033417, 2020.
[JWXX21] Chao-Ming Jian, Xiao-Chuan Wu, Yichen Xu, and Cenke Xu. Physics of symmetry protected topological phases involving higher symmetries and its applications. Physical Review B, 103(6):064426, 2021.
[Kap14] Anton Kapustin. Symmetry protected topological phases, anomalies, and cobordisms: beyond group cohomology. arXiv preprint arXiv:1403.1467, 2014.
[KdlFT+22] Markus S Kesselring, Julio C Magdalena de la Fuente, Felix Thomsen, Jens Eisert, Stephen D Bartlett, and Benjamin J Brown. Anyon condensation and the color code. arXiv preprint arXiv:2212.00042, 2022.
[Kit03] A Yu Kitaev. Fault-tolerant quantum computation by anyons. Annals of physics, 303(1):230, 2003.
[Kit06] Alexei Kitaev. Anyons in an exactly solved model and beyond. Annals of Physics, 321(1):2111, 2006.
[KS11] Anton Kapustin and Natalia Saulina. Topological boundary conditions in abelian chern–simons theory. Nuclear Physics B, 845(3):393–435, 2011.
[KS14] Anton Kapustin and Nathan Seiberg. Coupling a qft to a tqft and duality. Journal of High Energy Physics, 2014(4):1–45, 2014.
[KT14] Anton Kapustin and Ryan Thorngren. Anomalies of discrete symmetries in various dimensions and group cohomology. arXiv preprint arXiv:1404.3230, 2014.
[KT17] Anton Kapustin and Ryan Thorngren. Higher symmetry and gapped phases of gauge theories. Algebra, Geometry, and Physics in the 21st Century: Kontsevich Festschrift, pages 177–202, 2017.
[KTTW15] Anton Kapustin, Ryan Thorngren, Alex Turzillo, and Zitao Wang. Fermionic symmetry protected topological phases and cobordisms. Journal of High Energy Physics, 2015(12):1–21, 2015.
[KW14] Liang Kong and Xiao-Gang Wen. Braided fusion categories, gravitational anomalies, and the mathematical framework for topological orders in any dimensions. arXiv preprint arXiv:1405.5858, 2014.
[LBTP23] Luca Lepori, Michele Burrello, Andrea Trombettoni, and Simone Paganelli. Strange correlators for topological quantum systems from bulk-boundary correspondence. Physical Review B, 108(3):035110, 2023.
[LG12] Michael Levin and Zheng-Cheng Gu. Braiding statistics approach to symmetry-protected topological phases. Physical Review B, 86(11):115109, 2012.
[LLKH22] Tsung-Cheng Lu, Leonardo A Lessa, Isaac H Kim, and Timothy H Hsieh. Measurement as a shortcut to long-range entangled quantum matter. PRX Quantum, 3(4):040337, 2022.
[LSM+23] Yabo Li, Hiroki Sukeno, Aswin Parayil Mana, Hendrik Poulsen Nautrup, and Tzu-Chieh Wei. Symmetry-enriched topological order from partially gauging symmetry-protected topologically ordered states assisted by measurements. Phys. Rev. B, 108:115144, Sep 2023.
[LV12] Yuan-Ming Lu and Ashvin Vishwanath. Theory and classification of interacting integer topological phases in two dimensions: A chern-simons approach. Physical Review B, 86(12):125119, 2012.
[LV16] Yuan-Ming Lu and Ashvin Vishwanath. Classification and properties of symmetry-enriched topological phases: Chern-simons approach with applications to z 2 spin liquids. Physical Review B, 93(15):155121, 2016.
[LW05] Michael A Levin and Xiao-Gang Wen. String-net condensation: A physical mechanism for topological phases. Physical Review B, 71(4):045110, 2005.
[Miy10] Akimasa Miyake. Quantum computation on the edge of a symmetry-protected topological order. Physical review letters, 105(4):040501, 2010.
[Pac23] Salvatore D Pace. Emergent generalized symmetries in ordered phases. arXiv preprint arXiv:2308.05730, 2023.
[PSC21] Lorenzo Piroli, Georgios Styliaris, and J Ignacio Cirac. Quantum circuits assisted by local operations and classical communication: Transformations and phases of matter. Physical Review Letters, 127(22):220503, 2021.
[RBB02] Robert Raussendorf, Daniel Browne, and Hans Briegel. The one-way quantum computer–a non-network model of quantum computation. journal of modern optics, 49(8):1299–1306, 2002.
[RBH05] Robert Raussendorf, Sergey Bravyi, and Jim Harrington. Long-range quantum entanglement in noisy cluster states. Physical Review A, 71(6):062313, 2005.
[ROW+19] Robert Raussendorf, Cihan Okay, Dong-Sheng Wang, David T. Stephen, and Hendrik Poulsen Nautrup. Computationally universal phase of quantum matter. Phys. Rev. Lett., 122:090501, Mar 2019.
[RSS23] Konstantinos Roumpedakis, Sahand Seifnashri, and Shu-Heng Shao. Higher gauging and non-invertible condensation defects. Communications in Mathematical Physics, pages 1–65, 2023.
[RWP+17] Robert Raussendorf, Dong-Sheng Wang, Abhishodh Prakash, Tzu-Chieh Wei, and David T Stephen. Symmetry-protected topological phases with uniform computational power in one dimension. Physical Review A, 96(1):012302, 2017.
[Sen15] Todadri Senthil. Symmetry-protected topological phases of quantum matter. Annu. Rev. Condens. Matter Phys., 6(1):299–324, 2015.
[SPGC11] Norbert Schuch, David P ́erez-Garc ́ıa, and Ignacio Cirac. Classifying quantum phases using matrix product states and projected entangled pair states. Physical review b, 84(16):165139, 2011.
[SWP+17] David T Stephen, Dong-Sheng Wang, Abhishodh Prakash, Tzu-Chieh Wei, and Robert Raussendorf. Computational power of symmetry-protected topological phases. Physical review letters, 119(1):010504, 2017.
[TPB11] Ari M Turner, Frank Pollmann, and Erez Berg. Topological phases of one-dimensional fermions: An entanglement point of view. Physical review b, 83(7):075102, 2011.
[TTVV21] Nathanan Tantivasadakarn, Ryan Thorngren, Ashvin Vishwanath, and Ruben Verresen. Long-range entanglement from measuring symmetry-protected topological phases. arXivpreprint arXiv:2112.01519, 2021.
[TVV23] Nathanan Tantivasadakarn, Ashvin Vishwanath, and Ruben Verresen. Hierarchy of topological order from finite-depth unitaries, measurement, and feedforward. PRX Quantum, 4(2):020339, 2023.
[TW20] Lokman Tsui and Xiao-Gang Wen. Lattice models that realize z n-1 symmetry-protected topological states for even n. Physical Review B, 101(3):035101, 2020.
[VBV+22] Ruben Verresen, Umberto Borla, Ashvin Vishwanath, Sergej Moroz, and Ryan Thorngren. Higgs condensates are symmetry-protected topological phases: I. discrete symmetries. arXiv preprint arXiv:2211.01376, 2022.
[Wen90] Xiao-Gang Wen. Topological orders in rigid states. International Journal of Modern Physics B, 4(02):239–271, 1990.
[Wen16] Xiao-Gang Wen. A theory of 2+ 1d bosonic topological orders. National Science Review, 3(1):68–106, 2016.
[WGW15] Juven C Wang, Zheng-Cheng Gu, and Xiao-Gang Wen. Field-theory representation of gauge-gravity symmetry-protected topological invariants, group cohomology, and beyond. Physical review letters, 114(3):031601, 2015.
[WH17] Tzu-Chieh Wei and Ching-Yu Huang. Universal measurement-based quantum computation in two-dimensional symmetry-protected topological phases. Physical Review A, 96(3):032317, 2017.
[Wit89] Edward Witten. Quantum field theory and the jones polynomial. Communications in Mathematical Physics, 121(3):351–399, 1989.
[WN90] X. G. Wen and Q. Niu. Ground-state degeneracy of the fractional quantum hall states in the presence of a random potential and on high-genus riemann surfaces. Phys. Rev. B, 41:9377–9396, May 1990.
[WW12] Kevin Walker and Zhenghan Wang. (3+ 1)-tqfts and topological insulators. Frontiers of Physics, 7:150–159, 2012.
[WW18] Zheyan Wan and Juven Wang. Higher anomalies, higher symmetries, and cobordisms I: classification of higher-symmetry-protected topological states and their boundary fermionic/bosonic anomalies via a generalized cobordism theory. arXiv preprint arXiv:1812.11967, 2018.
[YBR+14] Yi-Zhuang You, Zhen Bi, Alex Rasmussen, Kevin Slagle, and Cenke Xu. Wave function and strange correlator of short-range entangled states. Physical review letters, 112(24):247202, 2014.
[Ye18] Peng Ye. Three-dimensional anomalous twisted gauge theories with global symmetry: Implications for quantum spin liquids. Physical Review B, 97(12):125127, 2018.
[Yos16] Beni Yoshida. Topological phases with generalized global symmetries. Physical Review B, 93(15):155131, 2016.
[Yos17] Beni Yoshida. Gapped boundaries, group cohomology and fault-tolerant logical gates. Annals of Physics, 377:387–413, 2017.Presenters
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Yabo Li
Stony Brook University (SUNY)
Authors
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Yabo Li
Stony Brook University (SUNY)
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Anyon Condensation Web in 2D Modulated Gauge Theories
ORAL
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Publication: https://arxiv.org/abs/2310.09490
Presenters
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Guilherme Delfino
Boston University
Authors
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Guilherme Delfino
Boston University
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Yizhi You
Universoty of oxford
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Unambiguous diagnostic of chirality in the entanglement spectrum of (2+1)d topological spin liquids: Demonstration in a SU(4) PEPS
ORAL
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Presenters
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Mark J Arildsen
International School for Advanced Studies (SISSA)
Authors
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Mark J Arildsen
International School for Advanced Studies (SISSA)
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Ji-Yao Chen
Sun Yat-sen University
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Norbert Schuch
University of Vienna
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Andreas W Ludwig
University of California, Santa Barbara
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Eigenstate switching of topologically ordered states using local non-Hermitian perturbations
ORAL
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Presenters
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Cheol Hun Yeom
Konkuk University, Hanyang University
Authors
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Cheol Hun Yeom
Konkuk University, Hanyang University
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Moon Jip Park
Institute for Basic Science
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Fractons, Strange Correlators and Dualities via Cluster State Measurements
ORAL
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Publication: Parayil Mana et al. to be posted in arXiv.
Presenters
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Aswin Parayil Mana
Stony Brook University (SUNY)
Authors
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Aswin Parayil Mana
Stony Brook University (SUNY)
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Hiroki Sukeno
Stony Brook University
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Takuya Okuda
The University of Tokyo, University of Tokyo
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Replica topological order and quantum error correction
ORAL
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Presenters
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Zhuan Li
University of Pittsburgh
Authors
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Zhuan Li
University of Pittsburgh
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Roger Mong
University of Pittsburgh
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