Weak-ergodicity-breaking via lattice supersymmetry

Surace, Federica Maria; Giudici, Giuliano; Dalmonte, Marcello

doi:10.22331/q-2020-10-07-339

Cited by 25 publications

(13 citation statements)

References 71 publications

(112 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This question had been independently explored by Shiraishi and Mori [67] in the context of systematic violations of strong ETH. More recently, the same "projector embedding" approach has turned out to be a fruitful method for constructing many-body scarred states in diverse models ranging from lattice supersymmetry [68] to flat bands [69].…”

Section: Mechanisms Of Weak Ergodicity Breakingmentioning

confidence: 99%

Quantum many-body scars and weak breaking of ergodicity

2021

View full text Add to dashboard Cite

Section: Mechanisms Of Weak Ergodicity Breakingmentioning

confidence: 99%

Quantum many-body scars and weak breaking of ergodicity

2021

View full text Add to dashboard Cite

“…The latter refers to the emergence of a dynamically-decoupled subspace within the many-body Hilbert space, in general without any underlying symmetry, spanned by ergodicitybreaking eigenstates. This behaviour was first theoretically established in the Affleck-Kennedy-Lieb-Tasaki (AKLT) model [9,10], followed by the discovery of similar phenomenology in other non-integrable lattice models [11][12][13][14][15][16][17][18], models of correlated fermions and bosons [19][20][21][22][23][24][25], frustrated magnets [26,27], topological phases of matter [28,29], and periodically driven systems [30][31][32][33][34].…”

mentioning

confidence: 99%

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

et al. 2021

View full text Add to dashboard Cite

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 ≈ ∆ ≫ J at electronic filling factor ν = 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.

show abstract

“…These systems can exhibit perfect revivals of the initial state for both single particle * Corresponding author: christopher.campbell@oist.jp and many-body systems, similar to the well-known Talbot effect in infinite box potentials which has also been thoroughly studied for both bosonic and fermionic cold atoms [25,26]. It is also worth noting that the recurrences of many-body states are related to the concepts of quantum scars, which signal weak ergodicity breaking after a global quench [27][28][29].…”

Section: Introductionmentioning

confidence: 87%

Nonequilibrium many-body dynamics in supersymmetric quenching

Campbell,

Fogarty,

Busch

2022

Preprint

View full text Add to dashboard Cite

We study the dynamics induced by quenching an ultracold quantum many-body system between two supersymmetric Hamiltonians. Such a quench can be created by carefully changing the external trapping potential and leads to a situation where the eigenspectra before and after the quench are nearly identical. We show that the dynamics originating from this can be conveniently described using knowledge about the initial state only and apply this insight to the specific example of a fermionic gas that is initially trapped in an infinite box potential. Quenching to different, higher order supersymmetric partners potentials we observe the appearance of many-body revivals in the survival probability and show that some of these are robust at finite temperatures. This is in contrast to the well known Talbot effect, which is the standard example for quenching into a system with a quadratic spectrum.

show abstract

Weak-ergodicity-breaking via lattice supersymmetry

Cited by 25 publications

References 71 publications

Quantum many-body scars and weak breaking of ergodicity

Quantum many-body scars and weak breaking of ergodicity

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

Nonequilibrium many-body dynamics in supersymmetric quenching

Contact Info

Product

Resources

About