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Simple Hamiltonians for Matrix Product State models
- Autor(en)
- Norbert Schuch, András Molnár, David Perez-Garcia
- Abstrakt
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) model, which is the ground state of a 2-body nearest-neighbor parent Hamiltonian. We show that such simple parent Hamiltonians for MPS models are, in fact, much more prevalent than hitherto known: The existence of a single example with a simple Hamiltonian for a given choice of dimensions already implies that any generic MPS with those dimensions possesses an equally simple Hamiltonian. We illustrate our finding by discussing a number of models with nearest-neighbor parent Hamiltonians, which generalize the AKLT model on various levels.
- Organisation(en)
- Institut für Mathematik, Quantenoptik, Quantennanophysik und Quanteninformation
- Externe Organisation(en)
- Universidad Complutense De Madrid, Spanish National Research Council (CSIC)
- Seiten
- 1-6
- DOI
- https://doi.org/10.48550/arXiv.2503.10767
- Publikationsdatum
- 03-2025
- ÖFOS 2012
- 103025 Quantenmechanik, 101028 Mathematische Modellierung, 103036 Theoretische Physik
- Link zum Portal
- https://ucrisportal.univie.ac.at/de/publications/ef74afe9-8e39-4a5e-bd99-f85c7f27d754