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Quantum Many-Body Scars in Dual-Unitary Circuits

Quantum Many-Body Scars in Dual-Unitary Circuits

Authors :
Logarić, Leonard
Dooley, Shane
Pappalardi, Silvia
Goold, John
Source :
Phys. Rev. Lett., Vol. 132, Iss. 1, 2024, pp. 010401
Publication Year :
2023

Abstract

Dual-unitary circuits are a class of quantum systems for which exact calculations of various quantities are possible, even for circuits that are nonintegrable. The array of known exact results paints a compelling picture of dual-unitary circuits as rapidly thermalizing systems. However, in this Letter, we present a method to construct dual-unitary circuits for which some simple initial states fail to thermalize, despite the circuits being "maximally chaotic," ergodic and mixing. This is achieved by embedding quantum many-body scars in a circuit of arbitrary size and local Hilbert space dimension. We support our analytic results with numerical simulations showing the stark contrast in the rate of entanglement growth from an initial scar state compared to nonscar initial states. Our results are well suited to an experimental test, due to the compatibility of the circuit layout with the native structure of current digital quantum simulators.<br />Comment: 6 pages + 7 pages appendices, 5 figures

Details

Database :
arXiv
Journal :
Phys. Rev. Lett., Vol. 132, Iss. 1, 2024, pp. 010401
Publication Type :
Report
Accession number :
edsarx.2307.06755
Document Type :
Working Paper
Full Text :
https://doi.org/10.1103/PhysRevLett.132.010401