Report
Interacting chiral fermions on the lattice with matrix product operator norms
| العنوان: | Interacting chiral fermions on the lattice with matrix product operator norms |
|---|---|
| المؤلفون: | Haegeman, Jutho, Lootens, Laurens, Mortier, Quinten, Stottmeister, Alexander, Ueda, Atsushi, Verstraete, Frank |
| سنة النشر: | 2024 |
| المجموعة: | Condensed Matter High Energy Physics - Lattice High Energy Physics - Theory Quantum Physics |
| مصطلحات موضوعية: | High Energy Physics - Lattice, Condensed Matter - Strongly Correlated Electrons, High Energy Physics - Theory, Quantum Physics |
| الوصف: | We develop a Hamiltonian formalism for simulating interacting chiral fermions on the lattice while preserving unitarity and locality and without breaking the chiral symmetry. The fermion doubling problem is circumvented by constructing a Fock space endowed with a semi-definite norm. When projecting our theory on the the single-particle sector, we recover the framework of Stacey fermions, and we demonstrate that the scaling limit of the free model recovers the chiral fermion field. Technically, we make use of a matrix product operator norm to mimick the boundary of a higher dimensional topological theory. As a proof of principle, we consider a single Weyl fermion on a periodic ring with Hubbard-type nearest-neighbor interactions and construct a variational generalized DMRG code to demonstrate that the ground state for large system sizes can be determined efficiently. As our tensor network approach does not exhibit any sign problem, we can add a chemical potential and study real-time evolution. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2405.10285 |
| رقم الانضمام: | edsarx.2405.10285 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |