TY - JOUR
T1 - Probing localization and quantum geometry by spectroscopy
AU - Ozawa, Tomoki
AU - Goldman, Nathan
N1 - Publisher Copyright:
© 2019 authors. Published by the American Physical Society.
PY - 2019/11
Y1 - 2019/11
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevResearch.1.032019
DO - 10.1103/PhysRevResearch.1.032019
M3 - Article
AN - SCOPUS:85083205212
VL - 1
JO - Physical Review Research
JF - Physical Review Research
SN - 2643-1564
IS - 3
M1 - 032019
ER -