Quantum gas microscopy of Kardar-Parisi-Zhang superdiffusion

Author:

Wei David12ORCID,Rubio-Abadal Antonio12ORCID,Ye Bingtian3ORCID,Machado Francisco34ORCID,Kemp Jack3,Srakaew Kritsana12ORCID,Hollerith Simon12ORCID,Rui Jun12ORCID,Gopalakrishnan Sarang56ORCID,Yao Norman Y.34ORCID,Bloch Immanuel127ORCID,Zeiher Johannes12ORCID

Affiliation:

1. Max-Planck-Institut für Quantenoptik, 85748 Garching, Germany.

2. Munich Center for Quantum Science and Technology (MCQST), 80799 Munich, Germany.

3. Department of Physics, University of California, Berkeley, CA 94720, USA.

4. Materials Science Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA.

5. Department of Physics, The Pennsylvania State University, University Park, PA 16802, USA.

6. Department of Physics and Astronomy, College of Staten Island, Staten Island, NY 10314, USA.

7. Fakultät für Physik, Ludwig-Maximilians-Universität, 80799 Munich, Germany.

Abstract

The Kardar-Parisi-Zhang (KPZ) universality class describes the coarse-grained behavior of a wealth of classical stochastic models. Surprisingly, KPZ universality was recently conjectured to also describe spin transport in the one-dimensional quantum Heisenberg model. We tested 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 found 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 nonabelian SU(2) symmetry. Finally, we leveraged the single-spin–sensitive detection enabled by the quantum gas microscope to measure an observable based on spin-transport statistics. Our results yield a clear signature of the nonlinearity that is a hallmark of KPZ universality.

Publisher

American Association for the Advancement of Science (AAAS)

Subject

Multidisciplinary

Reference62 articles.

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