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Higgs time crystal in a high-Tc superconductor

Guido Homann, Jayson G. Cosme, and Ludwig Mathey
Phys. Rev. Research 2, 043214 – Published 10 November 2020
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Abstract

We propose to induce a time-crystalline state in a high-Tc superconductor, by optically driving a sum resonance of the Higgs mode and a Josephson plasma mode. The generic cubic process that couples these fundamental excitations converts driving of the sum resonance into simultaneous resonant driving of both modes, resulting in an incommensurate subharmonic motion. We use a numerical implementation of a semiclassical driven-dissipative lattice gauge theory on a three-dimensional layered lattice, which models the geometry of cuprate superconductors, to demonstrate the robustness of this motion against thermal fluctuations. We demonstrate this light-induced time-crystalline phase for mono- and bilayer systems and show that this order can be detected for pulsed driving under realistic technological conditions.

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  • Received 12 May 2020
  • Revised 14 October 2020
  • Accepted 21 October 2020

DOI:https://doi.org/10.1103/PhysRevResearch.2.043214

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Guido Homann1,*, Jayson G. Cosme1,2,3, and Ludwig Mathey1,2

  • 1Zentrum für Optische Quantentechnologien and Institut für Laserphysik, Universität Hamburg, 22761 Hamburg, Germany
  • 2The Hamburg Centre for Ultrafast Imaging, Luruper Chaussee 149, 22761 Hamburg, Germany
  • 3National Institute of Physics, University of the Philippines, Diliman, Quezon City 1101, Philippines

  • *ghomann@physnet.uni-hamburg.de

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Issue

Vol. 2, Iss. 4 — November - December 2020

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