CORDIS Project
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This project investigates the properties of many-body quantum systems, focusing on local Hamiltonians and their eigenvalue gaps. It aims to classify quantum phases relevant to quantum information theory and condensed matter physics, contributing to our understanding of quantum interactions.
Interactions in a many body quantum system are encoded in a Hamiltonian, where the physical intuition that particles can only interact with those which are closeby is formally imposed as a local structure in the Hamiltonian, and homogeneity in space is imposed by a translational invariant structure on a given regular lattice in one, two or three dimensions.
The first main aim of this proposal is to characterize the existence of a uniform (with the system size) lower bound on the gap between the…
UNIVERSIDAD COMPLUTENSE DE MADRID
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