Emergent synchronization mode in coupled Rydberg atomic chains

TL;DR

This paper discovers a new synchronization mode in coupled Rydberg atomic chains characterized by a unique oscillation with a π-phase difference, involving coexisting continuous time crystals and bifurcation transitions.

Contribution

It introduces a novel synchronization mode in coupled Rydberg chains, expanding understanding of phase transitions and time crystal phenomena in quantum systems.

Findings

Identification of a new oscillatory synchronization mode with π-phase difference

Coexistence of two types of continuous time crystals

Verification of the mode's robustness in multiple chains

Abstract

We report a new oscillatory form in the two coupled dissipative Rydberg atomic chains by modulating its spacing. Such oscillation has $\pi$-phase difference between two neighboring sites, which distinguishes itself from antiferromagnetic-type synchronization in the previous studies. Theoretically, we find a phase with coexisting two types of continuous time crystals, and recognize that the transition belongs to Hopf and pitchfork bifurcation. Furthermore, we generalize the conclusion to multiple chains and verify the uniqueness of the new synchronization mode. We also discuss its experimental feasibility.