Unraveling PXP Many-Body Scars through Floquet Dynamics

Area of Science:

• Quantum physics
• Many-body systems
• Quantum information science

Background:

• Quantum scars are eigenstates of many-body systems that resist thermalization.
• They were first observed in the PXP model, relevant to Rydberg atom arrays.
• The origin of PXP scars remains a significant theoretical challenge.

Purpose of the Study:

• To elucidate the fundamental origin of PXP scars.
• To establish a connection between PXP scars and integrable systems.
• To propose a method for experimental preparation of PXP scars.

Main Methods:

• Investigating the discretized dynamics of the PXP model with varying Trotter steps (τ).
• Analyzing the correspondence between eigenstates of the Floquet-PXP cellular automaton at τ=π/2 and PXP scars.
• Demonstrating adiabatic connection between PXP scars and Floquet operator eigenstates.

Main Results:

• A remarkable correspondence was found between PXP scars and eigenstates of the integrable Floquet-PXP automaton at τ=π/2.
• PXP scars are shown to be adiabatically connected to the eigenstates of the τ=π/2 Floquet operator.
• This connection provides a new perspective on the nature of quantum scars.

Conclusions:

• The study reveals a fundamental link between PXP scars and an integrable Floquet model.
• This finding offers a pathway to understanding the elusive nature of quantum scars.
• A protocol for high-fidelity preparation of PXP scars in Rydberg atom experiments is proposed.