AI 中文总结
本研究以囚禁里德堡离子的广义Dicke模型为对象，分析其平均场相图与有限系统量子动力学，揭示里德堡离子相互作用对相图及动力学的显著影响，拓展了Dicke模型相关相的探索。
AI 中文摘要
我们研究了囚禁里德堡离子阵列中广义耗散Dicke模型的动力学相变，其中里德堡离子的密度-密度相互作用与集体自旋-声子耦合、激光驱动及耗散相互竞争。该设置为研究平衡态及非平衡态多体现象提供了通用方法，因为伊辛相互作用、激光-离子耦合、自旋-声子耦合等参数均可调。通过分析平均场相图，我们发现多种不同的相，以及对里德堡离子间相互作用敏感的三相点的出现。随后，我们研究有限系统尺寸的量子动力学，利用自旋平均值、熵和Loschmidt回声表征参数依赖的动力学，在相变附近出现慢弛豫和亚稳态等动力学相的独特特征。该分析预测了有限系统的丰富量子动力学，其与非平衡平均场相相关联。本研究拓展了Dicke模型中集体相和非平衡相的探索，揭示里德堡离子相互作用会显著影响相图和动力学。
英文摘要
We study dynamical phase transitions in the generalized dissipative Dicke model in an array of trapped Rydberg ions, where their density-density interactions compete with the collective spin-phonon coupling, laser driving and dissipation. This setting offers a versatile approach to study equilibrium as well as non-equilibrium many-body phenomena, as parameters, such as the Ising interaction, laser-ion and spin-phonon coupling can be tuned. Through analyzing the mean-field phase diagram, we find a variety of distinct phases and the emergence of a tricritical point that are sensitively dependent of the interaction between Rydberg ions. We then study the quantum dynamics for a finite system size and characterize parameter dependent dynamics using the spin average, entropy, and Loschmidt echo. Distinctive signatures of the dynamical phases, such as slow relaxation and metastability, arise near the phase transition. This analysis predicts rich quantum dynamics of the finite system that link to the non-equilibrium mean-field phases. Our study widens the exploration of collective and non-equilibrium phases in Dicke models, and reveals that the Rydberg ion interaction drastically affects the phase diagram and dynamics.
Comments21 Pages, 7 figures
