Anderson localization of spinons in a spin-1/2 antiferromagnetic Heisenberg chain

Pan, Bingying; Zhou, Shiyu; Hong, X. C.; Qiu, Xingze; Li, S. Y.

doi:10.48550/arxiv.1208.3803

2012

DOI: 10.48550/arxiv.1208.3803

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Anderson localization of spinons in a spin-1/2 antiferromagnetic Heisenberg chain

Bingying Pan¹,

Shiyu Zhou²,

X. C. Hong³

et al.

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“…Localized spin excitations. The localization of spin excitations, in (disordered) Heisenberg spin chains [55][56][57], can be detected using this same spectroscopic approach. The modulation V (t) = 2E cos(ωt) j j Ŝ+ j Ŝ− j should be proportional to the center of mass of the magnonic excitation [58], where Ŝ± j are spin operators on site j. Many-body quantum geometric tensor.…”

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confidence: 99%

Probing localization and quantum geometry by spectroscopy

Ozawa

Goldman

2019

Phys. Rev. Research

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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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confidence: 99%

Probing localization and quantum geometry by spectroscopy

Ozawa

Goldman

2019

Phys. Rev. Research

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Anderson localization of spinons in a spin-1/2 antiferromagnetic Heisenberg chain

Cited by 1 publication

References 27 publications

Probing localization and quantum geometry by spectroscopy

Probing localization and quantum geometry by spectroscopy

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