Citation:
Zhen Bi, Ethan Lake, and T Senthil. 2020. “Landau ordering phase transitions beyond the Landau paradigm.” Physical Review Research, 2, Pp. 023031.
Ultra-Quantum Matter
Recent developments demonstrate that in the right circumstances, quantum aspects can extend to macroscopic scale. This is UQM.
Recent Publications
Critical drag as a mechanism for resistivity
Citation:
Dominic Else and T. Senthil. 6/29/2021. “Critical drag as a mechanism for resistivity”. arXiv
Abstract:
Critical drag is thus a mechanism for resistivity that, unlike conventional mechanisms, is unrelated to broken symmetries. We furthermore argue that an emergent symmetry that has the appropriate mixed anomaly with electric charge is in fact an inevitable consequence of compressibility in systems with lattice translation symmetry. Critical drag therefore seems to be the only way (other than through irrelevant perturbations breaking the emergent symmetry, that disappear at the renormalization group fixed point) to get nonzero resistivity in such systems. Finally, we present a very simple and concrete model -- the "Quantum Lifshitz Model" -- that illustrates the critical drag mechanism as well as the other considerations of the paper.Prediction of Toric Code Topological Order from Rydberg Blockade
Citation:
Ruben Verresen, Mikhail D. Lukin, and Ashvin Vishwanath. 2021. “Prediction of Toric Code Topological Order from Rydberg Blockade.” Phys. Rev. X. Publisher's Version
Topology of superconductors beyond mean-field theory
Citation:
Matthew F Lapa. 2020. “Topology of superconductors beyond mean-field theory.” arXiv:2003.05948 (accepted for publication in Phys. Rev. Research). Physical Review Research
Abstract:
The study of topological superconductivity is largely based on the analysis of mean-field Hamiltonians that violate particle number conservation and have only short-range interactions. Although this approach has been very successful, it is not clear that it captures the topological properties of real superconductors, which are described by number-conserving Hamiltonians with long-range interactions. To address this issue, we study topological superconductivity directly in the number-conserving setting.
A systematic construction of gapped non-liquid states
Citation:
Xiao-Gang Wen. 2020. “A systematic construction of gapped non-liquid states.” arXiv:2002.02433.
Many-body Chern number from statistical correlations of randomized measurements
Citation:
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.
Abstract:
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.Topological terms on topological defects: a quantum Monte Carlo study
Citation:
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.
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