Quantum gas microscopy of Kardar-Parisi-Zhang superdiffusion
- URL: http://arxiv.org/abs/2107.00038v1
- Date: Wed, 30 Jun 2021 18:02:10 GMT
- Title: Quantum gas microscopy of Kardar-Parisi-Zhang superdiffusion
- Authors: David Wei, Antonio Rubio-Abadal, Bingtian Ye, Francisco Machado, Jack
Kemp, Kritsana Srakaew, Simon Hollerith, Jun Rui, Sarang Gopalakrishnan,
Norman Y. Yao, Immanuel Bloch, Johannes Zeiher
- Abstract summary: We conjecture to describe spin transport in the one-dimensional quantum Heisenberg model.
We test this conjecture by experimentally probing transport in a cold-atom quantum simulator.
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.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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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