Signatures of Dissipation Driven Quantum Phase Transition in Rabi Model,Physical Review Letters

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Signatures of Dissipation Driven Quantum Phase Transition in Rabi Model
Physical Review Letters ( IF 8.1 ) Pub Date : 2023-05-26 , DOI: 10.1103/physrevlett.130.210404
G De Filippis _{1,

2} , A de Candia _{1,

2} , G Di Bello ₃ , C A Perroni ₁ , L M Cangemi ₄ , A Nocera ₅ , M Sassetti _{6,

7} , R Fazio _{1,

8,

9} , V Cataudella _{1,

2}

Affiliation

By using the worldline Monte Carlo technique, matrix product state, and a variational approach à la Feynman, we investigate the equilibrium properties and relaxation features of the dissipative quantum Rabi model, where a two level system is coupled to a linear harmonic oscillator embedded in a viscous fluid. We show that, in the Ohmic regime, a Beretzinski-Kosterlitz-Thouless quantum phase transition occurs by varying the coupling strength between the two level system and the oscillator. This is a nonperturbative result, occurring even for extremely low dissipation magnitude. By using state-of-the-art theoretical methods, we unveil the features of the relaxation towards the thermodynamic equilibrium, pointing out the signatures of quantum phase transition both in the time and frequency domains. We prove that, for low and moderate values of the dissipation, the quantum phase transition occurs in the deep strong coupling regime. We propose to realize this model by coupling a flux qubit and a damped LC oscillator.

中文翻译：

Rabi 模型中耗散驱动的量子相变特征

通过使用 worldline Monte Carlo 技术、矩阵乘积状态和变分方法à laFeynman，我们研究了耗散量子 Rabi 模型的平衡特性和弛豫特征，其中两能级系统耦合到嵌入粘性流体中的线性谐振子。我们表明，在欧姆状态下，通过改变两能级系统和振荡器之间的耦合强度发生 Beretzinski-Kosterlitz-Thouless 量子相变。这是一个非微扰结果，即使耗散幅度极低也会出现。通过使用最先进的理论方法，我们揭示了热力学平衡松弛的特征，指出了时域和频域中量子相变的特征。我们证明，对于低和中等耗散值，量子相变发生在深强耦合状态。

更新日期：2023-05-26

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