Unraveling PXP Many-Body Scars through Floquet Dynamics

Fuente: arXiv
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Hauptverfasser: Giudici, Giuliano, Surace, Federica Maria, Pichler, Hannes
Format: Preprint
Veröffentlicht: 2023
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author Giudici, Giuliano
Surace, Federica Maria
Pichler, Hannes
author_facet Giudici, Giuliano
Surace, Federica Maria
Pichler, Hannes
contents Quantum scars are special eigenstates of many-body systems that evade thermalization. They were first discovered in the PXP model, a well-known effective description of Rydberg atom arrays. Despite significant theoretical efforts, the fundamental origin of PXP scars remains elusive. By investigating the discretized dynamics of the PXP model as a function of the Trotter step $τ$, we uncover a remarkable correspondence between the zero- and two-particle eigenstates of the integrable Floquet-PXP cellular automaton at $τ=π/2$ and the PXP many-body scars of the time-continuous limit. Specifically, we demonstrate that PXP scars are adiabatically connected to the eigenstates of the $τ=π/2$ Floquet operator. Building on this result, we propose a protocol for achieving high-fidelity preparation of PXP scars in Rydberg atom experiments.
format Preprint
id arxiv_https___arxiv_org_abs_2312_16288
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Unraveling PXP Many-Body Scars through Floquet Dynamics
Giudici, Giuliano
Surace, Federica Maria
Pichler, Hannes
Statistical Mechanics
Quantum Gases
Strongly Correlated Electrons
Quantum Physics
Quantum scars are special eigenstates of many-body systems that evade thermalization. They were first discovered in the PXP model, a well-known effective description of Rydberg atom arrays. Despite significant theoretical efforts, the fundamental origin of PXP scars remains elusive. By investigating the discretized dynamics of the PXP model as a function of the Trotter step $τ$, we uncover a remarkable correspondence between the zero- and two-particle eigenstates of the integrable Floquet-PXP cellular automaton at $τ=π/2$ and the PXP many-body scars of the time-continuous limit. Specifically, we demonstrate that PXP scars are adiabatically connected to the eigenstates of the $τ=π/2$ Floquet operator. Building on this result, we propose a protocol for achieving high-fidelity preparation of PXP scars in Rydberg atom experiments.
title Unraveling PXP Many-Body Scars through Floquet Dynamics
topic Statistical Mechanics
Quantum Gases
Strongly Correlated Electrons
Quantum Physics
url https://arxiv.org/abs/2312.16288