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Quantum gas microscopy of Kardar-Parisi-Zhang superdiffusion

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arxiv 2107.00038 v1 pith:CCTFUOT6 submitted 2021-06-30 cond-mat.quant-gas cond-mat.stat-mechquant-ph

Quantum gas microscopy of Kardar-Parisi-Zhang superdiffusion

David Wei , Antonio Rubio-Abadal , Bingtian Ye , Francisco Machado , Jack Kemp , Kritsana Srakaew , Simon Hollerith , Jun Rui
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Sarang Gopalakrishnan Norman Y. Yao Immanuel Bloch Johannes Zeiher
This is my paper
classification cond-mat.quant-gas cond-mat.stat-mechquant-ph
keywords quantumkardar-parisi-zhangrelaxationspintransportuniversalitybehaviorchains
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The Kardar-Parisi-Zhang (KPZ) universality class describes the coarse-grained behavior of a wealth of classical stochastic models. Surprisingly, it was recently conjectured to also describe spin transport in the one-dimensional quantum Heisenberg model. We test this conjecture by experimentally probing transport in a cold-atom quantum simulator via the relaxation of domain walls in spin chains of up to 50 spins. We find that domain-wall relaxation is indeed governed by the KPZ dynamical exponent $z = 3/2$, and that the occurrence of KPZ scaling requires both integrability and a non-abelian SU(2) symmetry. Finally, we leverage the single-spin-sensitive detection enabled by the quantum-gas microscope to measure a novel observable based on spin-transport statistics, which yields a clear signature of the non-linearity that is a hallmark of KPZ universality.

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Cited by 3 Pith papers

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