We present and analyze a protocol in which polaritons in a noncoplanar optical cavity form fractional quantum Hall states. We model the formation of these states and present techniques for subsequently creating anyons and measuring their fractional exchange statistics. In this protocol, we use a rapid adiabatic passage scheme to sequentially add polaritons to the system, such that the system is coherently driven from $n$- to $(n+1)$-particle Laughlin states. Quasiholes are created by slowly moving local pinning potentials in from outside the cloud. They are braided by dragging the pinning centers around one another, and the resulting phases are measured interferometrically. The most technically challenging issue with implementing our procedure is that maintaining adiabaticity and coherence requires that the two-particle interaction energy $V_0$ be sufficiently large compared to the single-polariton decay rate $γ$, $V_0 /γ\gg 10 N^2 \ln N$, where $N$ is the number of particles in the target state. While this condition is very demanding for present-day experiments where $V_0 /γ\sim 50$, our protocol presents a significant advance over the existing protocols in the literature.
Observation of anyonic thermodynamics and generalized Pauli principle
State Key Laboratory of Photonics and Communications, School of Electronics, Peking University（光电通信国家重点实验室，电子学院，北京大学）；Institute of Carbon-based Thin Film Electronics, Peking University（碳基薄膜电子学研究所，北京大学）；Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles（非线性现象与复杂系统中心，布鲁塞尔自由大学）
Damping of quasiparticles in a Bose-Einstein condensate coupled to an optical cavity
本文提出了一个计算与光腔单辐射场模强耦合的玻色-爱因斯坦凝聚体中元数密度波激发阻尼率的一般理论。因此，我们给出了密度波模式的Beliaev阻尼中的巨大共振增强的详细推导，最近由Kónya等人预测，物理学~修订版~ A 89，051601（R）（2014）。所给出的密度波模构成了自组织相变的类极化激元软模。共振增强发生，在正常和有序相，临界区域外。我们表明，大阻尼率是伴随着一个显着的频率偏移的极化激元模式。超越Born-Markov近似和确定延迟格林函数的极化激元的极点，我们揭示了强耦合的极化激元和集体模式的声子浴形成的其他密度波模式。
Bloch Oscillations of Cold Atoms in a Cavity: Effects of Quantum Noise
我们扩展了光腔中冷原子布洛赫振荡的理论[ Venkatesh et al. Phys. Rev. A 80 063834（2009）]，以包括耦合到外模产生的量子噪声的影响。噪声通过扰动原子和光的耦合动力学而作为量子测量反作用的一种形式。我们考虑到它通过解决线性波动的原子和光学平均场的海森堡-朗之万方程，并研究这是如何影响的信噪比的测量外力使用这个系统。特别是，我们调查的影响，改变原子的数量，腔内晶格深度，和原子-光耦合强度，并显示如何之间的共振布洛赫振荡动力学和准粒子光谱有强烈的影响的信噪比，以及加热效果。本文克服的障碍之一是在冷原子腔QED背景下对含时平均场涨落的适当处理。
