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

• URL: http://arxiv.org/abs/2009.03791v1
• Date: Tue, 8 Sep 2020 14:38:27 GMT
• Title: Ergodic and non-ergodic dual-unitary quantum circuits with arbitrary local Hilbert space dimension
• Authors: Pieter W. Claeys, Austen Lamacraft
• Abstract summary: 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. It is shown how a tunable ergodicity-inducing can be added to a non-ergodic circuit without breaking dual-unitarity, leading to the appearance of prethermalization plateaux for local observables.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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