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Molinaro, Leo (2015) Chiral topological PEPS: understanding Condensed Matter Physics with Quantum Information tools. [Magistrali biennali]

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Abstract

Tensor Networks are a tool from quantum information theory to describe many-body quantum systems. It has been shown that states arising from Tensor Networks in 1D (Matrix Product States - MPS) accurately describe ground states of local, gapped Hamiltonians. The same project for higher dimensional systems is currently the subject of great efforts. However, quantum many-body systems in dimension 2 or greater can exhibit much richer behaviour than their one-dimensional counterparts. One of the hallmarks of this is the scarcely understood notion of topological order. It has been shown recently, that Projected Entangled-Pair States (PEPS - Tensor Networks in 2D) can describe chiral topological states, that lie in the ground state manifold of a certain class of gapless Hamiltonians. In this work, we try to perturb the Hamiltonian into a gapped chiral phase. We will then study, whether this gapped, chiral phase can be described in terms of PEPS or how the PEPS-construction has to be modified to accommodate for this kind of behaviour.

Tipologia del documento:Magistrali biennali
Parole chiave:tensor networks, chiral PEPS, topology, quantum information, many-body physics
Settori scientifico-disciplinari del MIUR:Area 02 - Scienze fisiche > FIS/02 Fisica teorica, modelli e metodi matematici
Codice ID:50502
Relatore:Marchetti, Pieralberto
Data della tesi:Dicembre 2015
Biblioteca:Polo di Scienze > Dip. Fisica e Astronomia "Galileo Galilei" - Biblioteca
Tipo di fruizione per il documento:on-line per i full-text
Tesi sperimentale (Si) o compilativa (No)?:No

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