2020
DOI: 10.1103/physrevresearch.2.043264
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Rényi entropy singularities as signatures of topological criticality in coupled photon-fermion systems

Abstract: We establish the relation between topological phase (TP) transitions and quantum entropy singularities in a Kitaev chain embedded in a cavity. Even though both the von Neumann and Rényi entanglement entropies between light and matter sub-systems display singularities at the TP transition, we show that remarkably the Rényi entropy is analytically connected to the measurable photon Fano factor. Thus, we put forward a path to experimentally access the control and detection of a TP phase transition via a Rényi ent… Show more

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Cited by 14 publications
(3 citation statements)
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“…6. As already found in other systems with linear dipole-like light-matter couplings [56] the cavity state is Gaussian. Here we have shown how the non-linear nature of the Peierls phase gives a small non-Gaussian correction at finite sizes without any qualitative changes in the Wigner function that remains positive in all the explored phases.…”
Section: Discussionsupporting
confidence: 81%
See 1 more Smart Citation
“…6. As already found in other systems with linear dipole-like light-matter couplings [56] the cavity state is Gaussian. Here we have shown how the non-linear nature of the Peierls phase gives a small non-Gaussian correction at finite sizes without any qualitative changes in the Wigner function that remains positive in all the explored phases.…”
Section: Discussionsupporting
confidence: 81%
“…Moreover, recent developments have demonstrated ultra-strong coupling between magnons and the magnetic field of a superconducting resonator [47]. In contrast to 1D chains, two-leg ladders allow us to analyze transverse response to non-uniform vector potentials, while still being amenable to a thorough numerical investigation beyond typical mean-field approximations by means of the density-matrix renormalization group (DMRG) techniques [48][49][50][51] (recently being also employed in cavity quantum electrodynamics (QED) systems [52][53][54][55][56][57]).…”
mentioning
confidence: 99%
“…Similar efforts in realizing topological phases of matter using time-modulated optical lattices have been made with ultracold atoms 14 . Quantum fluctuations of the light field in a cavity offer new possibility to probe, control and tune the properties of a material, leading for example to polaritons, hybrid light-matter excitations, with non-trivial topological properties [15][16][17][18][19][20][21] or to anomalous Hall response in presence of a circularly polarized field 22 . Here we ask the question of what happens to a topological material due to the coupling to cavity photons.…”
mentioning
confidence: 99%