Publications

2020
Dung Xuan Nguyen and Dam Thanh Son. 2020. “Electrodynamics of Thin Sheets of Twisted Material.” arXiv:2008.02812.
Hilary M. Hurst, Victor Galitski, and Tero T. Heikkilä. 2020. “Electron-induced massive dynamics of magnetic domain walls.” Phys. Rev. B, 101, Pp. 054407. Publisher's Version
Alessio Celi, Benoît Vermersch, Oscar Viyuela, Hannes Pichler, Mikhail D. Lukin, and Peter Zoller. 2020. “Emerging Two-Dimensional Gauge Theories in Rydberg Configurable Arrays.” Physical Review X, 10, Pp. 021057.Abstract
Solving strongly coupled gauge theories in two or three spatial dimensions is of fundamental importance in several areas of physics ranging from high-energy physics to condensed matter. On a lattice, gauge invariance and gauge invariant (plaquette) interactions involve (at least) four-body interactions that are challenging to realize. Here we show that Rydberg atoms in configurable arrays realized in current tweezer experiments are the natural platform to realize scalable simulators of the Rokhsar-Kivelson Hamiltonian –a 2D U(1) lattice gauge theory that describes quantum dimer and spin-ice dynamics. Using an electromagnetic duality, we implement the plaquette interactions as Rabi oscillations subject to Rydberg blockade. Remarkably, we show that by controlling the atom arrangement in the array we can engineer anisotropic interactions and generalized blockade conditions for spins built of atom pairs. We describe how to prepare the resonating valence bond and the crystal phases of the Rokhsar-Kivelson Hamiltonian adiabatically, and probe them and their quench dynamics by on-site measurements of their quantum correlations. We discuss the potential applications of our Rydberg simulator to lattice gauge theory and exotic spin models.
Michael Matty, Yi Zhang, T Senthil, and Eun-Ah Kim. 2020. “Entanglement Clustering for ground-stateable quantum many-body states.” arXiv preprint arXiv:2004.06141.
Nathan Seiberg and Shu-Heng Shao. 2020. “Exotic $\mathbbZ_N$ Symmetries, Duality, and Fractons in 3+1-Dimensional Quantum Field Theory.” arXiv:2004.06115.
Nathan Seiberg and Shu-Heng Shao. 2020. “Exotic Symmetries, Duality, and Fractons in 2+1-Dimensional Quantum Field Theory.” arXiv:2003.10466.
Nathan Seiberg and Shu-Heng Shao. 2020. “Exotic $U(1)$ Symmetries, Duality, and Fractons in 3+1-Dimensional Quantum Field Theory.” arXiv:2004.00015.
Nathan Seiberg. 2020. “Field Theories With a Vector Global Symmetry.” SciPost Phys., 8, Pp. 050.
Patrick J. Ledwith, Grigory Tarnopolsky, Eslam Khalaf, and Ashvin Vishwanath. 2020. “Fractional Chern insulator states in twisted bilayer graphene: An analytical approach.” Physical Review Research, 2, Pp. 023237. Publisher's Version
Michael Pretko, Xie Chen, and Yizhi You. 2020. “Fracton phases of matter.” International Journal of Modern Physics A, 35, Pp. 2030003. Publisher's VersionAbstract
Fractons are a new type of quasiparticle which are immobile in isolation, but can often move by forming bound states. Fractons are found in a variety of physical settings, such as spin liquids and elasticity theory, and exhibit unusual phenomenology, such as gravitational physics and localization. The past several years have seen a surge of interest in these exotic particles, which have come to the forefront of modern condensed matter theory. In this review, we provide a broad treatment of fractons, ranging from pedagogical introductory material to discussions of recent advances in the field. We begin by demonstrating how the fracton phenomenon naturally arises as a consequence of higher moment conservation laws, often accompanied by the emergence of tensor gauge theories. We then provide a survey of fracton phases in spin models, along with the various tools used to characterize them, such as the foliation framework. We discuss in detail the manifestation of fracton physics in elasticity theory, as well as the connections of fractons with localization and gravitation. Finally, we provide an overview of some recently proposed platforms for fracton physics, such as Majorana islands and hole-doped antiferromagnets. We conclude with some open questions and an outlook on the field.
Wilbur Shirley. 2020. “Fractonic order and emergent fermionic gauge theory.” arXiv:2002.12026.
Leo Radzihovsky and Michael Hermele. 2020. “Fractons from Vector Gauge Theory.” Phys. Rev. Lett., 124, Pp. 050402. Publisher's Version
Tian Lan, Xueda Wen, Liang Kong, and Xiao-Gang Wen. 2020. “Gapped domain walls between 2+1D topologically ordered states.” Phys. Rev. Research, 2, Pp. 023331. Publisher's Version
Nick Bultinck, Eslam Khalaf, Shang Liu, Shubhayu Chatterjee, Ashvin Vishwanath, and Michael P. Zaletel. 2020. “Ground State and Hidden Symmetry of Magic-Angle Graphene at Even Integer Filling.” Phys. Rev. X, 10, Pp. 031034. Publisher's Version
Zhen Bi, Ethan Lake, and T Senthil. 2020. “Landau ordering phase transitions beyond the Landau paradigm.” Physical Review Research, 2, Pp. 023031.
Po-Shen Hsin and Shu-Heng Shao. 2020. “Lorentz Symmetry Fractionalization and Dualities in (2+1)d.” SciPost Phys., 8, Pp. 018.
Ze-Pei Cian, Hossein Dehghani, Andreas Elben, Benoît Vermersch, Guanyu Zhu, Maissam Barkeshli, Peter Zoller, and Mohammad Hafezi. 2020. “Many-body Chern number from statistical correlations of randomized measurements.” arXiv:2005.13543. Publisher's VersionAbstract
One of the main topological invariants that characterizes several topologically-ordered phases is the many-body Chern number (MBCN). Paradigmatic examples include several fractional quantum Hall phases, which are expected to be realized in different atomic and photonic quantum platforms in the near future. Experimental measurement and numerical computation of this invariant is conventionally based on the linear-response techniques which require having access to a family of states, as a function of an external parameter, which is not suitable for many quantum simulators. Here, we propose an ancilla-free experimental scheme for the measurement of this invariant, without requiring any knowledge of the Hamiltonian. Specifically, we use the statistical correlations of randomized measurements to infer the MBCN of a wavefunction. Remarkably, our results apply to disk-like geometries that are more amenable to current quantum simulator architectures.
Colin Rylands, Efim B. Rozenbaum, Victor Galitski, and Robert Konik. 2020. “Many-Body Dynamical Localization in a Kicked Lieb-Liniger Gas.” Phys. Rev. Lett., 124, Pp. 155302. Publisher's Version
Shankar Balasubramanian, Yunxiang Liao, and Victor Galitski. 2020. “Many-body localization landscape.” Phys. Rev. B, 101, Pp. 014201. Publisher's Version
Andreas Elben, Jinlong Yu, Guanyu Zhu, Mohammad Hafezi, Frank Pollmann, Peter Zoller, and Benoît Vermersch. 2020. “Many-body topological invariants from randomized measurements in synthetic quantum matter.” Science Advances, 6, Pp. eaaz3666.Abstract
Many-body topological invariants, as quantized highly nonlocal correlators of the many-body wave function, are at the heart of the theoretical description of many-body topological quantum phases, including symmetry-protected and symmetry-enriched topological phases. Here, we propose and analyze a universal toolbox of measurement protocols to reveal many-body topological invariants of phases with global symmetries, which can be implemented in state-of-the-art experiments with synthetic quantum systems, such as Rydberg atoms, trapped ions, and superconducting circuits. The protocol is based on extracting the many-body topological invariants from statistical correlations of randomized measurements, implemented with local random unitary operations followed by site-resolved projective measurements. We illustrate the technique and its application in the context of the complete classification of bosonic symmetry-protected topological phases in one dimension, considering in particular the extended Su-Schrieffer-Heeger spin model, as realized with Rydberg tweezer arrays.

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