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Quench Spectroscopy of a Disordered Quantum System

2021/05/31 by L. Villa, S. J. Thomson, L. Sanchez-Palencia · 1 citation
Physics and Astronomy · #cond-mat.dis-nn #cond-mat.quant-gas

paper · pdf · doi:10.1103/physreva.104.l021301

published as Phys. Rev. A 104, 021301 (2021) · 6 pages, 4 figures + Supplemental Material

arxiv created 2021/07/16 · arxiv updated 2021/09/01

Abstract

The characterization of excitations in disordered quantum systems is a central issue in connection with glass physics and many-body localization. Here, we show that quench spectroscopy of a disordered model, as realized from its out-of-equilibrium dynamics following a global quench, allows us to fully characterize the spectral properties of the disordered phases. In the Bose-Hubbard model, a clear signature of gapless excitations in momentum-resolved spectroscopy enables us to accurately locate the Mott insulator to Bose glass transition, while the presence or absence of a well-defined soundlike mode distinguishes the superfluid from the Bose glass phase. Moreover, spatially-resolved spectroscopy provides local spectral properties and allows us to extract the typical spacing of gapless regions, giving a second independent way to uniquely identify all three phases. Our findings have far-ranging implications for a variety of experimental platforms, and offer a powerful and versatile probe of the low-energy phases of disordered systems.

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