Journal
PHYSICAL REVIEW LETTERS
Volume 125, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.125.027002
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Funding
- NSF [DMR-1506152, DMR-1828489, PHY-1125915, PHY-1607611]
- Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq) [312352/2018-2]
- FAPESP [2015/23849-7, 2016/10826-1]
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We study the collective excitations, i.e., the Goldstone (phase) mode and the Higgs (amplitude) mode, near the superfluid-Mott glass quantum phase transition in a two-dimensional system of disordered bosons. Using Monte Carlo simulations as well as an inhomogeneous quantum mean-field theory with Gaussian fluctuations, we show that the Higgs mode is strongly localized for all energies, leading to a noncritical scalar response. In contrast, the lowest-energy Goldstone mode undergoes a striking delocalization transition as the system enters the superfluid phase. We discuss the generality of these findings and experimental consequences, and we point out potential relations to many-body localization.
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