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Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Collective Modes at a Disordered Quantum Phase Transition
Martin Puschmann1, Jack Crewse1, José A Hoyos2
1Department of Physics, Missouri University of Science and Technology, Rolla, Missouri 65409, USA.
Abstract:
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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