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Phys Rev Lett. 2020 Sep 18;125(12):120605. doi: 10.1103/PhysRevLett.125.120605.

Many-Body Dephasing in a Trapped-Ion Quantum Simulator.

Physical review letters

Harvey B Kaplan, Lingzhen Guo, Wen Lin Tan, Arinjoy De, Florian Marquardt, Guido Pagano, Christopher Monroe

Affiliations

  1. Joint Quantum Institute, Department of Physics and Joint Center for Quantum Information and Computer Science, University of Maryland, College Park, Maryland 20742, USA.
  2. Max Planck Institute for the Science of Light, Staudtstrasse 2, 91058 Erlangen, Germany.
  3. Physics Department, University of Erlangen-Nuremberg, Staudtstrasse 5, 91058 Erlangen, Germany.
  4. Department of Physics and Astronomy, Rice University, 6100 Main Street, Houston, Texas 77005, USA.

PMID: 33016720 DOI: 10.1103/PhysRevLett.125.120605

Abstract

How a closed interacting quantum many-body system relaxes and dephases as a function of time is a fundamental question in thermodynamic and statistical physics. In this Letter, we analyze and observe the persistent temporal fluctuations after a quantum quench of a tunable long-range interacting transverse-field Ising Hamiltonian realized with a trapped-ion quantum simulator. We measure the temporal fluctuations in the average magnetization of a finite-size system of spin-1/2 particles. We experiment in a regime where the properties of the system are closely related to the integrable Hamiltonian with global spin-spin coupling, which enables analytical predictions for the long-time nonintegrable dynamics. The analytical expression for the temporal fluctuations predicts the exponential suppression of temporal fluctuations with increasing system size. Our measurement data is consistent with our theory predicting the regime of many-body dephasing.

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