Hypergrid subgraphs and the origin of scarred quantum walks in the many-body Hilbert space

Desaules, Jean-Yves; Bull, Kieran; Daniel, Aiden; Papić, Zlatko

doi:10.48550/arxiv.2112.06885

Cited by 1 publication

(1 citation statement)

References 50 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A single hypercube holds perfect revivals on its own as long as all the hopping strengths are identical, and two stitched hypercubes also have finite revivals in the thermodynamic limit. As such, it has been conjectured that the revivals in the spin-1/2 PXP model are due to its proximity to this toy model of two joined hypercubes [81]. The dynamics can then be thought of as state transfer from the Néel state to the shared vertex in the first hypercube, and then from it to the other Néel state and back.…”

Section: A Hilbert Space Structurementioning

confidence: 99%

Prominent quantum many-body scars in a truncated Schwinger model

Desaules¹,

Hudomal²,

Banerjee³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

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, including those probing thermalization or its absence in closed quantum systems. In a recent work [Desaules et al., arXiv:2203.08830], we have shown that quantum many-body scarsspecial low-entropy eigenstates that weakly break ergodicity in nonintegrable systems-arise in spin-S quantum link models that converge to (1 + 1)−D lattice quantum electrodynamics (Schwinger model) in the Kogut-Susskind limit S → ∞. In this work, we further demonstrate that quantum many-body scars exist in a truncated version of the Schwinger model, and are qualitatively more prominent than their counterparts in spin-S quantum link models. We illustrate this by, among other things, performing a finite-S scaling analysis that strongly suggests that scarring persists in the truncated Schwinger model in the limit S → ∞. Although it does not asymptotically converge to the Schwinger model, the truncated formulation is relevant to synthetic quantum matter experiments, and also provides fundamental insight into the nature of quantum many-body scars, their connection to lattice gauge theories, and the thermalization dynamics of the latter. Our conclusions can be readily tested in current cold-atom setups.

show abstract

Section: A Hilbert Space Structurementioning

confidence: 99%