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

@article{Desaules2021ProposalFR,
title={Proposal for Realizing Quantum Scars in the Tilted 1D Fermi-Hubbard Model.},
author={Jean-Yves Desaules and Ana Hudomal and Christopher J. Turner and Zlatko Papi'c},
journal={Physical review letters},
year={2021},
volume={126 21},
pages={
210601
}
}
• Published 2 February 2021
• Physics
• Physical review letters
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≈Δ≫J at electronic filling factor ν=1. We numerically demonstrate that the scarring phenomenology in this model is similar to other known realizations such as Rydberg atom chains, including persistent dynamical revivals and ergodicity-breaking…
15 Citations

## Figures from this paper

On Stark Many-body localization perturbed by harmonic potential
• Physics
• 2021
Ruixiao Yao, Titas Chanda, and Jakub Zakrzewski 3, ∗ Department of Physics and State Key Laboratory of Low Dimensional Quantum Physics, Tsinghua University, Beijing, 100084, China Institute of
Algebraic theory of quantum synchronization and limit cycles under dissipation
• Physics
SciPost Physics
• 2022
Synchronization is a phenomenon where interacting particles lock their motion and display non-trivial dynamics. Despite intense efforts studying synchronization in systems without clear classical
Discrete time crystals enforced by Floquet-Bloch scars
We analytically identify a new class of quantum scars protected by spatiotemporal translation symmetries, dubbed Floquet-Bloch scars. They distinguish from previous (quasi-)static scars by a rigid
Driving quantum many-body scars
• Physics, Education
• 2022
Periodic driving has been established as a powerful technique for engineering novel phases of matter and intrinsically out-of-equilibrium phenomena such as time crystals. Recent work by Bluvstein et
Prominent quantum many-body scars in a truncated Schwinger model
• Physics
• 2022
The high level of control and precision achievable in current synthetic quantum matter setups has enabled ﬁrst attempts at quantum-simulating various intriguing phenomena in condensed matter physics,
Protecting coherence from environment via Stark many-body localization in a Quantum-Dot Simulator
• Physics
• 2022
Semiconductor platforms are emerging as a promising architecture for storing and processing quantum information e.g., in quantum dot spin qubits . These setups have relatively low nuclear noise, but
Quantum information scrambling in quantum many-body scarred systems
• Physics
Physical Review Research
• 2022
Quantum many-body scarred systems host special non-thermal eigenstates that support periodic revival dynamics and weakly break the ergodicity. Here, we study the quantum information scrambling
Quantum many-body scars in spin-1 Kitaev chains
• Physics
Physical Review Research
• 2022
Wen-Long You,1, 2 Zhuan Zhao,1, 2 Jie Ren,3 Gaoyong Sun,1, 2 Liangsheng Li,4 and Andrzej M. Oleś 5, 6, ∗ College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing, 211106, China
Diffusive hydrodynamics of inhomogenous Hamiltonians
• Physics
Journal of Physics A: Mathematical and Theoretical
• 2021
We derive a large-scale hydrodynamic equation, including diffusive and dissipative effects, for systems with generic static position-dependent driving forces coupling to local conserved quantities.
Group theoretic approach to many-body scar states in fermionic lattice models
• Physics
Physical Review Research
• 2021
K. Pakrouski, P.N. Pallegar, F.K. Popov, I.R. Klebanov Institute for Theoretical Physics, ETH Zurich, 8093 Zurich, Switzerland Department of Physics, Princeton University, Princeton, NJ 08544, USA

## References

SHOWING 1-10 OF 81 REFERENCES
Quantum many-body scars in a Landau level on a thin torus
• Physics
• 2019
We study a kinetically constrained pair hopping model that arises within a Landau level in the quantum Hall effect. At filling $\nu = 1/3$, the model exactly maps onto the so-called PXP model", a
Weak ergodicity breaking from quantum many-body scars
• Physics
• 2018
The thermodynamic description of many-particle systems rests on the assumption of ergodicity, the ability of a system to explore all allowed configurations in the phase space. Recent studies on
Topological quantum many-body scars in quantum dimer models on the kagome lattice
• Physics, Computer Science
Physical Review B
• 2021
It is demonstrated that bulk energies surrounding the scar are distributed according to the Gaussian ensemble expected of their respective symmetry sector, and contrast entanglement properties of the scar state with that of all other eigenstates.
Observing non-ergodicity due to kinetic constraints in tilted Fermi-Hubbard chains
• Physics
Nature communications
• 2021
Using analytical calculations, this work experimentally studies the relaxation of an initial charge-density wave and finds a remarkably long-lived initial-state memory over a wide range of parameters, which can be attributed to emergent kinetic constraints.
Collapse and revival of quantum many-body scars via Floquet engineering
• Physics
Physical Review B
• 2020
The presence of quantum scars, athermal eigenstates of a many-body Hamiltonian with finite energy density, leads to absence of ergodicity and long-time coherent dynamics in closed quantum systems
Weak Ergodicity Breaking and Quantum Many-Body Scars in Spin-1 XY Magnets.
• Physics
Physical review letters
• 2019
We study the spin-1 XY model on a hypercubic lattice in d dimensions and show that this well-known nonintegrable model hosts an extensive set of anomalous finite-energy-density eigenstates with
Quantum scarred eigenstates in a Rydberg atom chain: Entanglement, breakdown of thermalization, and stability to perturbations
• Physics
Physical Review B
• 2018
Recent realization of a kinetically constrained chain of Rydberg atoms by Bernien et al., [Nature (London) 551, 579 (2017)] resulted in the observation of unusual revivals in the many-body quantum
Entanglement of Exact Excited Eigenstates of the Hubbard Model in Arbitrary Dimension
• Physics
• 2016
We compute exactly the von Neumann entanglement entropy of the eta-pairing states - a large set of exact excited eigenstates of the Hubbard Hamiltonian. For the singlet eta-pairing states the entropy
Emergent SU(2) Dynamics and Perfect Quantum Many-Body Scars.
• Physics
Physical review letters
• 2019
A weak quasilocal deformation of the Rydberg-blockaded Hamiltonian is constructed, which makes the revivals virtually perfect and suggests the existence of an underlying nonintegrable Hamiltonian which supports an emergent SU(2)-spin dynamics within a small subspace of the many-body Hilbert space.
Fate of Quantum Many-Body Scars in the Presence of Disorder
• Physics
PRX Quantum
• 2021
Experiments performed on strongly interacting Rydberg atoms have revealed surprising persistent oscillations of local observables. These oscillations have been attributed to a special set of