Observation of enhanced rotational symmetry breaking at low temperatures in the doped Hubbard model

ORAL

Abstract

The behavior of the doped Hubbard model at low temperatures is a central problem in correlated electron physics, with relevance to understanding cuprate superconductors. Extensive computational studies have shown that its low-temperature physics is governed by several competing symmetry-breaking tendencies, such as the loss of rotational or translational symmetry. However, the physics of these states remains poorly understood due to the computational challenges in simulating temperatures T<0.2t with standard techniques. Building on recent experimental progress in cooling in Fermi-Hubbard quantum simulators, we report the observation of a region of enhanced rotational symmetry breaking in the spin sector at temperatures T~0.1t. Using programmable potentials and tunable interactions, we study the evolution of this regime vs doping, temperature, and interaction strength. This work signals the emergence of novel physics at low temperatures in the Hubbard model, and demonstrates the approach of quantum simulation to a physical regime that challenges modern computational techniques.

*We acknowledge support from the Gordon and Betty Moore Foundation, Grant No. GBMF-11521; National Science Foundation (NSF) Grants Nos. PHY-1734011, OAC-1934598 and OAC-2118310; ONR Grant No. N00014-18-1-2863; the Department of Energy, QSA Lawrence Berkeley Lab award No. DE-AC02-05CH11231; QuEra grant No. A44440; ARO/AFOSR/ONR DURIP Grants Nos. W911NF-20-1-0104 and W911NF-20-1-0163; ARO ELQ Award No. W911NF2320219; the Flatiron Institute is a division of the Simons Foundation (C.F. and S.Z.); the NSF Graduate Research Fellowship Program (L.H.K. and A.K.); the AWS Generation Q Fund at the Harvard Quantum Initiative (Y.G.); the Swiss National Science Foundation (M.L.); the Intelligence Community Postdoctoral Research Fellowship Program at Harvard administered by Oak Ridge Institute for Science and Education (ORISE) through an interagency agreement between the U.S. Department of Energy and the Office of the Director of National Intelligence (ODNI) (A.W.Y.).

Presenters

  • Lev H Kendrick

    • Harvard University

Authors

  • Lev H Kendrick

    • Harvard University
  • Anant Kale

    • Harvard University
  • Youqi Gang

    • Harvard University
  • Alexander Dennisovich Deters

    • Harvard University
  • Muqing Xu

    • Harvard University
  • Chunhan Feng

    • Simons Foundation (Flatiron Institute)
  • Shiwei Zhang

    • Simons Foundation (Flatiron Institute)
  • Martin Lebrat

    • Harvard University
  • Aaron W Young

    • Harvard University
  • Markus Greiner

    • Harvard University