Below are links to the papers I've written. Everything is also on Google scholar, which at any given time is more likely to be up to date.


  1. Brownian ratchets and pumps universally simulate many-body active dynamics

    Charles Stahl, E.L., and Vedika Khemani arXiv:2607.01231

  2. Proof of a finite threshold for the union-find decoder

    Satoshi Yoshida, E.L., and Hayata Yamasaki QEC 2026 | arXiv:2602.20238

  3. Multi-Particle Quantum Walks in a Dipole-Conserving Bose-Hubbard Model

    Sooshin Kim, Byungmin Kang, Perrin Segura, Yanfei Li, E.L., Brice Bakkali-Hassani, and Markus Greiner arXiv:2511.02343

  4. Local active error correction from simulated confinement

    E.L. arXiv:2510.08056 A visualization is available at Edencode.ai

  5. Squeezing codes: robust fluctuation-stabilized memories

    E.L., Sunghan Ro arXiv:2509.20730 An interactive demo is available at this website

  6. Exploring the landscape of non-equilibrium memories with neural cellular automata

    Ehsan Pajouheshgar, Aditya Bhardwaj, Nathaniel Selub, E.L. PRL, 2026 | arXiv:2508.15726 See also this demo, as well as this app created by Quinten Preiß!

  7. Fast offline decoding with local message-passing automata

    E.L. arXiv:2506.03266 A visualization is available at Edencode.ai

  8. Exponentially slow thermalization in 1D fragmented dynamics

    Cheng Wang, Shankar Balasubramanian, Yiqiu Han, E.L., Xiao Chen, Zhi-Cheng Yang arXiv:2501.13930

  9. A local automaton for the 2D toric code

    Shankar Balasubramanian, Margarita Davydova, E.L. Quantum, 2026 | arXiv:2412.19803

  10. Exponentially slow thermalization and the robustness of Hilbert space fragmentation

    Yiqiu Han, Xiao Chen, E.L. PRB, 2026 | arXiv:2401.11294

  11. Direct observation of a magnetic field-induced Wigner crystal

    Yen-Chen Tsui, Minhao He, Yuwen Hu, E.L., Taige Wang, Kenji Watanabe, Takashi Taniguchi, Michael P. Zaletel, Ali Yazdani Nature, 2024 | arXiv:2312.11632

  12. Glassy word problems: ultraslow relaxation, Hilbert space jamming, and computational complexity

    Shankar Balasubramanian, Sarang Gopalakrishnan, Alexey Khudorozhkov, E.L. Physical Review X, 2024 | arXiv:2312.04562

  13. Topological quantum chains protected by dipolar and other modulated symmetries

    Jung Hoon Han, E.L., Ho Tat Lam, Ruben Verresen, Yizhi You Physical Review B, 2024 | arXiv:2309.10036

  14. 2D Hamiltonians with exotic bipartite and topological entanglement

    Shankar Balasubramanian, E.L., Soonwon Choi arXiv:2305.07028

  15. Scaling and localization in kinetically constrained diffusion

    Jung-Hoon Han, E.L., Sunghan Ro Physical Review Letters, 2024 | arXiv:2304.03276

  16. Non-Fermi liquids from kinetic constraints in tilted optical lattices

    E.L., T. Senthil Physical Review Letters, 2023 | arXiv:2302.08499

  17. Exact Quantum Algorithms for Quantum Phase Recognition: Renormalization Group and Error Correction

    E.L., Shankar Balasubramanian, Soonwon Choi PRX Quantum, 2025 | arXiv:2211.09803

  18. Dipole condensates in tilted Bose-Hubbard chains

    E.L., Hyun-Yong Lee, Jung Hoon Han, T. Senthil Physical Review B, 2023 | arXiv:2210.02470

  19. Pairing symmetry of twisted bilayer graphene: a phenomenological synthesis

    E.L., Adarsh Patri, T. Senthil Physical Review B, 2022 | arXiv:2204.12579

  20. The dipolar Bose-Hubbard model

    E.L., Michael Hermele, T. Senthil 2022, Physical Review B | arXiv:2201.04132

  21. Spontaneous breaking of multipole symmetries

    Charles Stahl, E.L., Rahul Nandkishore Physical Review B, 2022 | arXiv:2111.08041

  22. RG and stability in the exciton Bose liquid

    E.L. 2022, Physical Review B | arXiv:2110.02986

  23. Subdimensional criticality: condensation of lineons and planons in the X-cube model

    E.L., Mike Hermele Physical Review B, 2021 | arXiv:2107.09073

  24. Re-entrant superconductivity through a quantum Lifshitz transition in twisted trilayer graphene

    E.L., T. Senthil 2021, Physical Review B, 2021 | arXiv:2104.13920

  25. Bose-Luttinger liquids

    E.L., T. Senthil, Ashvin Vishwanath 2021, Physical Review B, 2021 | arXiv:2101.02197

  26. Landau ordering phase transitions beyond the Landau paradigm

    Zhen Bi, E.L.,, T. Senthil Physical Review Research, 2020 | arXiv:2101.02197

  27. Higher-form symmetries and spontaneous symmetry breaking

    E.L. arXiv:1802.07747

  28. Fermion condensation and super pivotal categories

    David Aasen, E.L., Kevin Walker Journal of Mathematical Physics, 2019 | arXiv:1709.01941

  29. Spinon magnetic resonance of quantum spin liquids

    Zhu-Xi Luo, E.L., Jia-Wei Mei, Oleg Starykh Physical Review Letters, 2018 | arXiv:1706.01597

  30. Fracton topological order via coupled layers

    Han Ma, E.L., Xie Chen, Michael Hermele Physical Review B, 2017 | arXiv:1701.00747