Efficient Tensor Network ansatz for high-dimensional quantum many-body
problems
- URL: http://arxiv.org/abs/2011.08200v1
- Date: Mon, 16 Nov 2020 19:00:04 GMT
- Title: Efficient Tensor Network ansatz for high-dimensional quantum many-body
problems
- Authors: Timo Felser, Simone Notarnicola and Simone Montangero
- Abstract summary: We introduce a novel tensor network structure augmenting the well-established Tree Network representation of a quantum many-body wave function.
We benchmark this novel approach against paradigmatic two-dimensional spin models demonstrating unprecedented precision and system sizes.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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 non-trivial
phases and quantum phase transitions, providing realistic benchmarks for
current and future two-dimensional quantum simulations.
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