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Quantum Simulation

Simulation of many body localization and time crystals in two dimensions with the neighborhood tensor update

arXiv
Authors: Jacek Dziarmaga

Year

2021

Paper ID

40645

Status

Preprint

Abstract Read

~2 min

Abstract Words

107

Citations

N/A

Abstract

The Heisenberg antiferromagnet with discrete disorder on an infinite square lattice is evolved in time from an initial Néel state. The simulation is performed with the neighborhood tensor update (NTU) algorithm for an infinite projected entangled pair state (iPEPS) [Phys. Rev. B 104, 094411 (2021)]. Ancillary spins are used to average over 2 or 5 discrete values of disorder. With a bond dimension up to 20, evolution times are long enough to identify a many body localized regime for a strong enough disorder. Furthermore, the same Hamiltonian is subject to periodic spin flips. Simulations of the Floquet dynamics show that it can sustain a time crystalline stage for a strong enough disorder.

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  • The Heisenberg antiferromagnet with discrete disorder on an infinite square lattice is evolved in time from an initial Néel state.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2112.11457 [2] arXiv https://arxiv.org/abs/2112.11457 [3] Publisher https://arxiv.org/abs/2112.11457

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