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31 July 2023 to 4 August 2023
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Quantum Monte Carlo for Gauge Fields and Matter without the Fermion Determinant

3 Aug 2023, 17:20
20m
Ramsey Auditorium

Ramsey Auditorium

Speaker

Emilie Huffman (Perimeter Institute for Theoretical Physics)

Description

Ab-initio Monte Carlo simulations of strongly-interacting fermionic systems are plagued by the fermion sign problem, making the non-perturbative study of many interesting regimes of dense quantum matter, or of theories of odd numbers of fermion flavors, challenging. Moreover, typical fermion algorithms require the computation (or sampling) of the fermion determinant. We focus instead on the meron cluster algorithm, which can solve the fermion sign problem in a class of models without involving the determinant. We develop and benchmark new meron algorithms to simulate fermions coupled to Z2 and U(1) gauge fields to uncover potential exotic properties of matter, particularly relevant for quantum simulator experiments. We demonstrate the emergence of the Gauss' Law at low temperatures for a U(1) model in (1+1)−d

Topical area Algorithms and Artificial Intelligence

Primary authors

Debasish Banerjee Emilie Huffman (Perimeter Institute for Theoretical Physics)

Presentation materials