Pubblicazione:
Efficient Tensor Network Ansatz for High-Dimensional Quantum Many-Body Problems
Efficient Tensor Network Ansatz for High-Dimensional Quantum Many-Body Problems
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Data
2021
Autori
Felser, Timo
Notarnicola, Simone
Montangero, Simone
Titolo del Periodico
ISSN Periodico
Titolo volume
Editore
Progetti di ricerca
Strutture
Fascicolo Periodico
Abstract
We introduce a novel tensor network structure augmenting the well-established tree tensor network representation of a quantum many-body wave function. The new structure satisfies the area law in high dimensions remaining efficiently manipulatable and scalable. We benchmark this novel approach against paradigmatic two-dimensional spin models demonstrating unprecedented precision and system sizes. Finally, we compute the ground state phase diagram of two-dimensional lattice Rydberg atoms in optical tweezers observing nontrivial phases and quantum phase transitions, providing realistic benchmarks for current and future two-dimensional quantum simulations.