Amanda_Young

MCQST Distinguished PostDoc

Technical University Munich

Forschungseinheit Dynamics, Zentrum Mathematik, M8

Boltzmannstraße 3

85748 Garching

+49 89 289 17086

young[at]ma.tum.de

Research Webpage

I love the diversity of mathematical techniques used to approach and understand questions in mathematical physics. There is always a creative solution.

Description

Main research focus: my research focuses on spectral and dynamical properties of quantum lattice systems.

A central question in the low-energy physics of quantum systems is whether the excitations above the ground states are gapped or gapless. My goal is to develop techniques for rigorously establishing spectral gaps through analyzing key quantum systems. Since joining MCQST, I have been investigating the spectral gap and low-lying excitations for fractional quantum Hall (FQH) systems. In a recent work, we proved a non-vanishing gap for an effective Hamiltonian of a 1/3-filled FQH system in the thin cylinder regime.

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