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Quantum Simulation

Quantum circuit at criticality

arXiv

Authors: Nicolas Macé

Year

2019

Paper ID

39712

Status

Preprint

Abstract Read

~2 min

Abstract Words

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Abstract

We study a simple quantum circuit model which, without need for fine tuning, is very close to sitting at the transition between ergodic and many-body localized (MBL) phases. We probe the properties of the model on large finite-size systems, using a matrix-free exact diagonalization method that takes advantage of the shallow nature of the circuit. Moreover, we provide a qualitative entanglement bottleneck picture to account for the close-to-critical nature of the model.

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We study a simple quantum circuit model which, without need for fine tuning, is very close to sitting at the transition between ergodic and many-body localized (MBL) phases.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1912.09489 [2] arXiv https://arxiv.org/abs/1912.09489 [3] Publisher https://arxiv.org/abs/1912.09489

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