3 papers
math-ph2026
Mermin-Wagner theorems for quantum systems with multipole symmetries
Timo Feistl, Severin Schraven, Simone Warzel
We prove Mermin-Wagner-type theorems for quantum lattice systems in the presence of multipole symmetries. These theorems show that the presence of higher-order symmetries protects…
math-ph2026
Fractional Quantum Hall States: Infinite Matrix Product Representation and its Implications
Severin Schraven, Simone Warzel
We present a novel matrix product representation of the Laughlin and related fractional quantum Hall wavefunctions based on a rigorous version of the correlators of a chiral quantu…
math-ph2025
Recursive spectral relations and the charge versus neutral gap in fractional quantum Hall systems
Marius Lemm, Bruno Nachtergaele, Simone Warzel +1
We consider quantum lattice Hamiltonians and derive recursive spectral relations bridging successive particle number sectors. One relation gives conditions under which the charge g…