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Proposal for Realizing Quantum Scars in the Tilted 1D Fermi-Hubbard Model.

Jean-Yves Desaules1, Ana Hudomal1,2, Christopher J Turner1

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This study reveals quantum many-body scars in 1D Fermi-Hubbard chains, distinct from Hilbert space fragmentation. These scars, originating from a weakly connected subgraph, offer new insights into quantum systems.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Statistical Physics

Background:

  • Recent observations show Hilbert space fragmentation in 1D Fermi-Hubbard chains with tilted potentials.
  • Quantum many-body scars are special non-ergodic eigenstates in quantum systems.

Purpose of the Study:

  • To investigate the existence and nature of quantum many-body scars in 1D Fermi-Hubbard chains at a specific filling factor and interaction regime.
  • To compare the scarring phenomenology and underlying mechanisms with other known systems.

Main Methods:

  • Numerical simulations of the 1D Fermi-Hubbard model.
  • Analysis of dynamical revivals and properties of many-body eigenstates.
  • Investigation of the system's adjacency graph to understand scarring mechanisms.

Main Results:

  • The 1D Fermi-Hubbard model hosts quantum many-body scars in the U≈Δ≫J regime at filling factor ν=1.
  • The observed scarring phenomenology, including dynamical revivals, resembles that of Rydberg atom chains.
  • A novel scarring mechanism is identified, originating from a weakly connected subgraph representing a free spin-1 paramagnet.

Conclusions:

  • Correlated fermions in tilted optical lattices serve as a versatile platform for studying quantum many-body scars.
  • This system elucidates the interplay between many-body scarring, Hilbert space fragmentation, and localization.
  • The unique scarring mechanism provides new perspectives on non-ergodicity in quantum many-body systems.