Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains
Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains
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DOI：
10.22331/q-2022-02-02-638
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发表时间：
2021-07
期刊：
影响因子：
6.4
通讯作者：
P. Sierant;G. Chiriacò;F. Surace;Shraddha Sharma;X. Turkeshi;M. Dalmonte;R. Fazio;G. Pagano
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文献类型：
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作者：
P. Sierant;G. Chiriacò;F. Surace;Shraddha Sharma;X. Turkeshi;M. Dalmonte;R. Fazio;G. Pagano
由么正演化和量子测量引起的量子系统表现出各种类型的非平衡相变，这些非平衡相变是由么正演化和测量之间的竞争引起的。与时间无关的Liouvillians稳态中的耗散相变和量子轨道水平上的测量诱导相变是这种相变的两个主要例子。在研究周期重置测量下的多体自旋系统时，我们认为多体耗散Floquet动力学为分析这两种跃迁提供了一个自然的框架。我们发现，对于长程系统，铁磁有序相和顺磁无序相之间的耗散相变是测量几率的函数。测量引起的纠缠熵在体积律标度和亚体积律标度之间的转变也与有序化转变不同。这两个阶段分别对应于纠错和量子Zeno体制。对于短程相互作用，铁磁性相丢失，而纠缠的体积律相增强。对希尔伯特空间中波函数的多重分形性质的分析为系统中这两种类型的跃迁提供了一个共同的视角。我们的发现与囚禁离子实验直接相关，我们详细介绍了基于目前可用的平台的蓝图建议。
Quantum systems evolving unitarily and subject to quantum measurements exhibit various types of non-equilibrium phase transitions, arising from the competition between unitary evolution and measurements. Dissipative phase transitions in steady states of time-independent Liouvillians and measurement induced phase transitions at the level of quantum trajectories are two primary examples of such transitions. Investigating a many-body spin system subject to periodic resetting measurements, we argue that many-body dissipative Floquet dynamics provides a natural framework to analyze both types of transitions. We show that a dissipative phase transition between a ferromagnetic ordered phase and a paramagnetic disordered phase emerges for long-range systems as a function of measurement probabilities. A measurement induced transition of the entanglement entropy between volume law scaling and sub-volume law scaling is also present, and is distinct from the ordering transition. The two phases correspond to an error-correcting and a quantum-Zeno regimes, respectively. The ferromagnetic phase is lost for short range interactions, while the volume law phase of the entanglement is enhanced. An analysis of multifractal properties of wave function in Hilbert space provides a common perspective on both types of transitions in the system. Our findings are immediately relevant to trapped ion experiments, for which we detail a blueprint proposal based on currently available platforms.