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Publications

2020
Ya-Hui Zhang and T Senthil. 2020. “Quantum Hall spin liquids and their possible realization in moiré systems.” arXiv:2003.13702.
Manoj K. Joshi, Andreas Elben, Benoît Vermersch, Tiff Brydges, Christine Maier, Peter Zoller, Rainer Blatt, and Christian F. Roos. 2020. “Quantum Information Scrambling in a Trapped-Ion Quantum Simulator with Tunable Range Interactions.” Physical Review Letters, 124, Pp. 240505.Abstract
In ergodic many-body quantum systems, locally encoded quantum information becomes, in the course of time evolution, inaccessible to local measurements. This concept of "scrambling"is currently of intense research interest, entailing a deep understanding of many-body dynamics such as the processes of chaos and thermalization. Here, we present first experimental demonstrations of quantum information scrambling on a 10-qubit trapped-ion quantum simulator representing a tunable long-range interacting spin system, by estimating out-of-time ordered correlators (OTOCs) through randomized measurements. We also analyze the role of decoherence in our system by comparing our measurements to numerical simulations and by measuring Rényi entanglement entropies.
Dayou Yang, Andrey Grankin, Lukas M. Sieberer, Denis V. Vasilyev, and Peter Zoller. 2020. “Quantum non-demolition measurement of a many-body Hamiltonian.” Nature Communications, 11, Pp. 775.Abstract
In an ideal quantum measurement, the wave function of a quantum system collapses to an eigenstate of the measured observable, and the corresponding eigenvalue determines the measurement outcome. If the observable commutes with the system Hamiltonian, repeated measurements yield the same result and thus minimally disturb the system. Seminal quantum optics experiments have achieved such quantum non-demolition (QND) measurements of systems with few degrees of freedom. In contrast, here we describe how the QND measurement of a complex many-body observable, the Hamiltonian of an interacting many-body system, can be implemented in a trapped-ion analog quantum simulator. Through a single-shot measurement, the many-body system is prepared in a narrow band of (highly excited) energy eigenstates, and potentially even a single eigenstate. Our QND scheme, which can be carried over to other platforms of quantum simulation, provides a framework to investigate experimentally fundamental aspects of equilibrium and non-equilibrium statistical physics including the eigenstate thermalization hypothesis and quantum fluctuation relations.
Liang Kong and Xiao-Gang Wen. 2020. “A relation between chiral central charge and ground state degeneracy in 2+1-dimensional topological orders.” arXiv:2004.11904.
Matthew F. Lapa and Michael Levin. 2020. “Rigorous Results on Topological Superconductivity with Particle Number Conservation.” Phys. Rev. Lett., 124, Pp. 257002.
Nathanan Tantivasadakarn and Sagar Vijay. 2020. “Searching for fracton orders via symmetry defect condensation.” Physical Review B, 101, Pp. 165143. Publisher's Version
Ruihua Fan, Sagar Vijay, Ashvin Vishwanath, and Yi-Zhuang You. 2020. “Self-Organized Error Correction in Random Unitary Circuits with Measurement.” arXiv:2002.12385.
Hao Geng. 2020. “Some Information Theoretic Aspects of De-Sitter Holography.” JHEP, 02, Pp. 005.
Yaodong Li and Matthew P. A. Fisher. 2020. “Statistical Mechanics of Quantum Error-Correcting Codes.” arXiv e-prints, Pp. arXiv:2007.03822.
Trithep Devakul, Wilbur Shirley, and Juven Wang. 2020. “Strong planar subsystem symmetry-protected topological phases and their dual fracton orders.” Phys. Rev. Research, 2, Pp. 012059. Publisher's Version
Maine Christos, Subir Sachdev, and Mathias Scheurer. 2020. “Superconductivity, correlated insulators, and Wess-Zumino-Witten terms in twisted bilayer graphene.” arXiv:2007.00007.
Xiao-Gang Wen. 2020. “A systematic construction of gapped non-liquid states.” arXiv:2002.02433.
Hao Geng. 2020. “$T\barT$ Deformation and the Complexity=Volume Conjecture.” Fortschritte der Physik, 68, Pp. 2000036.
Tom Rudelius and Shu-Heng Shao. 2020. “Topological Operators and Completeness of Spectrum in Discrete Gauge Theories.” arXiv:2006.10052.
Toshihiro Sato, Martin Hohenadler, Tarun Grover, John McGreevy, and Fakher F. Assaad. 2020. “Topological terms on topological defects: a quantum Monte Carlo study.” arXiv:2005.08996.
Nabil Iqbal and John McGreevy. 2020. “Toward a 3d Ising model with a weakly-coupled string theory dual.” SciPost Phys., 9, Pp. 19.
Youssef Kora, Massimo Boninsegni, Dam Thanh Son, and Shiwei Zhang. 2020. “Tuning the quantumness of simple Bose systems: A universal phase diagram.” arXiv:2008.03644.
Nathan Benjamin, Hirosi Ooguri, Shu-Heng Shao, and Yifan Wang. 2020. “Twist gap and global symmetry in two dimensions.” Phys. Rev., D101, Pp. 106026.
J. H. Wilson, J. B. Curtis, and V.M. Galitski. 2020. “Analogue spacetimes from nonrelativistic Goldstone modes in spinor condensates.” submitted to Physical Review X (arXiv:2001.05496). Publisher's Version
Analyticity of replica correlators and ETH
M. Shyani. 2020. “Analyticity of replica correlators and ETH”.Abstract
We study the two point correlation function of a local operator on an \(n\)-sheeted replica manifold corresponding to the half-space in the vacuum state of a conformal field theory. We calculate the Renyi transform in \(2d\) conformal field theories, and use it to extract the off-diagonal elements of (modular) ETH.

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