Dicke time crystals in driven-dissipative quantum many-body systems
Dicke time crystals in driven-dissipative quantum many-body systems
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DOI：
10.1088/1367-2630/ab2afe
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发表时间：
2019-04
影响因子：
3.3
通讯作者：
B. Zhu;J. Marino;N. Yao;M. Lukin;E. Demler
中科院分区：
文献类型：
--
作者：
B. Zhu;J. Marino;N. Yao;M. Lukin;E. Demler
Dicke模型--量子光学中超辐射的一个范例--描述了一个集体耦合到漏腔模式的原子系综。由于这些相互作用的合作性质，系统的动力学被单个平均场、集体自旋的行为所捕获。在这个平均场极限中，最近已经表明光子损失和光-物质耦合的周期性驱动之间的相互作用可以导致集体自旋的时间晶体行为(Gong等人2018年物理。莱特牧师。040404)。在这项工作中，我们研究了这样的Dicke时间晶体(TC)对于显式破坏传统Dicke模型的平均场可解性的微扰是否稳定。特别是，我们考虑了原子之间短程相互作用的加入，它打破了集体耦合，导致了复杂的多体动力学。在此背景下，周期驱动、耗散和相互作用之间的相互作用产生了一组丰富的动力学响应，包括长寿命和亚稳态的Dicke-TCS，其中损失可以冷却由周期驱动的持续泵送能量所产生的多体加热。具体地说，当附加的短程相互作用是铁磁性的时，我们在耦合强度的非微扰值下观察到了时间结晶行为，这表明在驱动耗散量子多体系统中可能存在稳定的动力学有序。这些发现说明了量子光学平台中具有多体特征的新型动力学响应的丰富性质。
The Dicke model—a paradigmatic example of superradiance in quantum optics—describes an ensemble of atoms which are collectively coupled to a leaky cavity mode. As a result of the cooperative nature of these interactions, the system’s dynamics is captured by the behavior of a single mean-field, collective spin. In this mean-field limit, it has recently been shown that the interplay between photon losses and periodic driving of light–matter coupling can lead to time-crystalline-like behavior of the collective spin (Gong et al 2018 Phys. Rev. Lett. 120 040404). In this work, we investigate whether such a Dicke time crystal (TC) is stable to perturbations that explicitly break the mean-field solvability of the conventional Dicke model. In particular, we consider the addition of short-range interactions between the atoms which breaks the collective coupling and leads to complex many-body dynamics. In this context, the interplay between periodic driving, dissipation and interactions yields a rich set of dynamical responses, including long-lived and metastable Dicke-TCs, where losses can cool down the many-body heating resulting from the continuous pump of energy from the periodic drive. Specifically, when the additional short-range interactions are ferromagnetic, we observe time crystalline behavior at non-perturbative values of the coupling strength, suggesting the possible existence of stable dynamical order in a driven-dissipative quantum many-body system. These findings illustrate the rich nature of novel dynamical responses with many-body character in quantum optics platforms.