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Article Dans Une Revue Physical Review Letters Année : 2021

Many-body Chern number from statistical correlations of randomized measurements

Ze-Pei Cian
  • Fonction : Auteur
Hossein Dehghani
  • Fonction : Auteur
Andreas Elben
  • Fonction : Auteur
Guanyu Zhu
  • Fonction : Auteur
Maissam Barkeshli
  • Fonction : Auteur
Peter Zoller
  • Fonction : Auteur
Mohammad Hafezi
  • Fonction : Auteur

Résumé

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 are conventionally based on the linear-response techniques that 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 wave function. Remarkably, our results apply to disklike geometries that are more amenable to current quantum simulator architectures.

Dates et versions

hal-02870807 , version 1 (16-06-2020)

Identifiants

Citer

Ze-Pei Cian, Hossein Dehghani, Andreas Elben, Benoît Vermersch, Guanyu Zhu, et al.. Many-body Chern number from statistical correlations of randomized measurements. Physical Review Letters, 2021, 126 (5), pp.050501. ⟨10.1103/PhysRevLett.126.050501⟩. ⟨hal-02870807⟩

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