4 papers
Spin models with critical ground space degeneracy from Lie algebra relations
Andras Molnar, Efekan Kökcü, Norbert Schuch +1
We introduce an -symmetric spin model derived from the algebraic structure of : It is obtained as the nearest-neighbor parent Hamiltonian of a Mat…
Lower Bounds on Spectral Gaps of Parent Hamiltonians via Tensor Networks
Milán Ãdám Rozmán, András Molnár, Norbert Schuch
Proving spectral gaps above the ground space is a central problem in quantum many-body physics. Yet, finding lower bounds on the gap is notoriously difficult. We revisit the martin…
Complexity of Quadratic Bosonic Hamiltonian Simulation: -Completeness and -Hardness
Lilith Zschetzsche, Refik Mansuroglu, Norbert Schuch
The computational complexity of simulating the dynamics of physical quantum systems is a central question at the interface of quantum physics and computer science. In this work, we…
Simple Hamiltonians for Matrix Product State models
Norbert Schuch, Andras Molnar, David Perez-Garcia
Matrix Product States (MPS) and Tensor Networks provide a general framework for the construction of solvable models. The best-known example is the Affleck-Kennedy-Lieb-Tasaki (AKLT…