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.

Efficient Tensor Network Ansatz for High-Dimensional Quantum Many-Body Problems / Felser, Timo; Notarnicola, Simone; Montangero, Simone. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 126:17(2021), pp. 1-8. [10.1103/physrevlett.126.170603]

Efficient Tensor Network Ansatz for High-Dimensional Quantum Many-Body Problems

Notarnicola, Simone;Montangero, Simone
2021-01-01

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.
2021
126
17
1
8
170603
https://arxiv.org/abs/2011.08200
Felser, Timo; Notarnicola, Simone; Montangero, Simone
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/142439
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