A proposal for realising quantum scars in the tilted 1D Fermi-Hubbard model

• URL: http://arxiv.org/abs/2102.01675v2
• Date: Fri, 13 Aug 2021 14:35:27 GMT
• Title: A proposal for realising quantum scars in the tilted 1D Fermi-Hubbard model
• Authors: Jean-Yves Desaules, Ana Hudomal, Christopher J. Turner and Zlatko Papi\'c
• Abstract summary: We numerically demonstrate that the scarring phenomenology in this model is similar to other known realisations such as Rydberg atom chains. At the same time, we show that the mechanism of scarring in the Fermi-Hubbard model is different from other examples in the literature.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Motivated by recent observations of ergodicity breaking due to Hilbert space fragmentation in 1D Fermi-Hubbard chains with a tilted potential [Scherg et al., arXiv:2010.12965], we show that the same system also hosts quantum many-body scars in a regime $U\approx \Delta \gg J$ at electronic filling factor $\nu=1$. We numerically demonstrate that the scarring phenomenology in this model is similar to other known realisations such as Rydberg atom chains, including persistent dynamical revivals and ergodicity-breaking many-body eigenstates. At the same time, we show that the mechanism of scarring in the Fermi-Hubbard model is different from other examples in the literature: the scars originate from a subgraph, representing a free spin-1 paramagnet, which is weakly connected to the rest of the Hamiltonian's adjacency graph. Our work demonstrates that correlated fermions in tilted optical lattices provide a platform for understanding the interplay of many-body scarring and other forms of ergodicity breaking, such as localisation and Hilbert space fragmentation.

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