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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
1School of Physics and Astronomy, University of Leeds, Leeds LS2 9JT, United Kingdom.
Physical Review Letters
|June 11, 2021
Summary
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.
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.
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