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Quantum Simulation

Ergodic and non-ergodic dual-unitary quantum circuits with arbitrary local Hilbert space dimension

arXiv
Authors: Pieter W. Claeys, Austen Lamacraft

Year

2020

Paper ID

20867

Status

Preprint

Abstract Read

~2 min

Abstract Words

93

Citations

N/A

Abstract

Dual-unitary quantum circuits can be used to construct 1+1 dimensional lattice models for which dynamical correlations of local observables can be explicitly calculated. We show how to analytically construct classes of dual-unitary circuits with any desired level of (non-)ergodicity for any dimension of the local Hilbert space, and present analytical results for thermalization to an infinite-temperature Gibbs state (ergodic) and a generalized Gibbs ensemble (non-ergodic). It is shown how a tunable ergodicity-inducing perturbation can be added to a non-ergodic circuit without breaking dual-unitarity, leading to the appearance of prethermalization plateaux for local observables.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2020 reference point for readers tracking recent quantum research.
  • Dual-unitary quantum circuits can be used to construct 1+1 dimensional lattice models for which dynamical correlations of local observables can be explicitly calculated.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2009.03791 [2] arXiv https://arxiv.org/abs/2009.03791 [3] Publisher https://arxiv.org/abs/2009.03791

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