Probing localization and quantum geometry by spectroscopy

Tomoki Ozawa, Nathan Goldman

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

The spatial localization of quantum states plays a central role in condensed-matter phenomena, ranging from many-body localization to topological matter. Building on the dissipation-fluctuation theorem, we propose that the localization properties of a quantum-engineered system can be probed by spectroscopy, namely, by measuring its excitation rate upon a periodic drive. We apply this method to various examples that are of direct experimental relevance in ultracold atomic gases, including Anderson localization, topological edge modes, and interacting particles in a harmonic trap. Moreover, inspired by a relation between quantum fluctuations and the quantum metric, we describe how our scheme can be generalized in view of extracting the full quantum-geometric tensor of many-body systems. Our approach opens an avenue for probing localization, as well as quantum fluctuations, geometry and entanglement, in synthetic quantum matter.

Original languageEnglish
Article number032019
JournalPhysical Review Research
Volume1
Issue number3
DOIs
Publication statusPublished - 2019 Nov
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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