Many-body Chern number from statistical correlations of randomized measurements
| Autor: | Maissam Barkeshli, Andreas Elben, Ze-Pei Cian, Mohammad Hafezi, Hossein Dehghani, Peter Zoller, Benoît Vermersch, Guanyu Zhu |
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| Přispěvatelé: | Laboratoire de physique et modélisation des milieux condensés (LPM2C ), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA) |
| Rok vydání: | 2021 |
| Předmět: |
Computation
FOS: Physical sciences General Physics and Astronomy Quantum simulator Quantum Hall effect 01 natural sciences Many body Condensed Matter - Strongly Correlated Electrons 0103 physical sciences Statistical physics Invariant (mathematics) 010306 general physics Quantum Physics Quantum Physics Chern class etc Strongly Correlated Electrons (cond-mat.str-el) General Physics: Statistical and Quantum Mechanics business.industry [PHYS.PHYS.PHYS-GEN-PH]Physics [physics]/Physics [physics]/General Physics [physics.gen-ph] Quantum Gases (cond-mat.quant-gas) Quantum Information Photonics Quantum Physics (quant-ph) business Condensed Matter - Quantum Gases |
| Zdroj: | Physical Review Letters Phys.Rev.Lett. Phys.Rev.Lett., 2021, 126 (5), pp.050501. ⟨10.1103/PhysRevLett.126.050501⟩ |
| ISSN: | 1079-7114 |
| DOI: | 10.1103/physrevlett.126.050501 |
| Popis: | 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. 8 pages, 4 figures |
| Databáze: | OpenAIRE |
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