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    • Plusieurs versions

    Condensed matter field theory

    Altland, Alexander
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    Probing the Topology of Density Matrices

    Bardyn, Charles, Wawer, Lukas, Altland, Alexander, Fleischhauer, Michael, Diehl, Sebastian
    Physical Review X, 2018, 8, 1, 011035
    2018
    Disponible
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    Titre: Probing the Topology of Density Matrices
    Auteur: Bardyn, Charles; Wawer, Lukas; Altland, Alexander; Fleischhauer, Michael; Diehl, Sebastian
    Date: 2018
    Description: The mixedness of a quantum state is usually seen as an adversary to topological quantization of observables. For example, exact quantization of the charge transported in a so-called Thouless adiabatic pump is lifted at any finite temperature in symmetry-protected topological insulators. Here, we show that certain directly observable many-body correlators preserve the integrity of topological invariants for mixed Gaussian quantum states in one dimension. Our approach relies on the expectation value of the many-body momentum-translation operator and leads to a physical observable—the “ensemble geometric phase” (EGP)—which represents a bona fide geometric phase for mixed quantum states, in the thermodynamic limit. In cyclic protocols, the EGP provides a topologically quantized observable that detects encircled spectral singularities (“purity-gap” closing points) of density matrices. While we identify the many-body nature of the EGP as a key ingredient, we propose a conceptually simple, interferometric setup to directly measure the latter in experiments with mesoscopic ensembles of ultracold atoms.
    Fait partie de: Physical Review X, 2018, 8, 1, 011035

    • Plusieurs versions

    Field Theory Approach to Many-Body Localization

    Altland, Alexander, Micklitz, Tobias
    Physical review letters, 24 March 2017, Vol.118(12), pp.127202 [Revue évaluée par les pairs]

    • Plusieurs versions

    Quantum chaos and effective thermalization

    Altland, Alexander, Haake, Fritz
    arXiv.org, Mar 21, 2012 [Revue évaluée par les pairs]

    • Plusieurs versions

    Effective field theory of the disordered Weyl semimetal

    Altland, Alexander, Bagrets, Dmitry
    arXiv.org, Jan 26, 2015 [Revue évaluée par les pairs]

    • Plusieurs versions

    Multi-Terminal Coulomb-Majorana Junction

    Altland, Alexander, Egger, Reinhold
    arXiv.org, May 15, 2013 [Revue évaluée par les pairs]

    • Plusieurs versions

    Class D spectral peak in Majorana quantum wires

    Bagrets, Dmitry, Altland, Alexander
    arXiv.org, Aug 2, 2012 [Revue évaluée par les pairs]

    • Plusieurs versions

    Sinai Diffusion at Quasi-1D Topological Phase Transitions

    Bagrets, Dmitry, Altland, Alexander, Kamenev, Alex
    Physical review letters, 04 November 2016, Vol.117(19), pp.196801 [Revue évaluée par les pairs]

    • Plusieurs versions

    Incoherent scatterer in a Luttinger liquid: a new paradigmatic limit

    Altland, Alexander, Gefen, Yuval, Rosenow, Bernd
    Physical review letters, 30 March 2012, Vol.108(13), pp.136401 [Revue évaluée par les pairs]

    • Plusieurs versions

    Vanishing Density of States in Weakly Disordered Weyl Semimetals

    Buchhold, Michael, Diehl, Sebastian, Altland, Alexander
    Physical review letters, 23 November 2018, Vol.121(21), pp.215301 [Revue évaluée par les pairs]