超冷费米气体合成朗道能级的腔光力学
Cavity optomechanics with synthetic Landau levels of ultra cold Fermi gas
摘要：
超冷的费米子原子被放置在人造磁场中，按照朗道能级排列。我们将费米子原子置于法布里-珀罗腔中，理论上研究了在合成磁场中，光场与费米子原子的集体激发之间的光机相互作用。我们从填充朗道能级利用玻色化技术导出了粒子空穴激发的有效哈密顿量，并得到了腔透射谱的表达式。利用这一点，我们表明，腔透射谱演示了冷原子模拟的Subnikov de Hass振荡的电子凝聚物质系统。我们讨论了这种振荡的实验结果和相关的光学双稳性。
英文摘要：
Ultra cold fermionic atoms placed in a synthetic magnetic field arrange themselves in Landau levels. We theoretically study the optomechanical interaction between the light field and collective excitations of such fermionic atoms in synthetic magnetic field by placing them in side a Fabry Perot cavity. We derive the effective hamiltonian for particle hole excitations from a filled Landau level using a bosonization technique and obtain an expression for the cavity transmission spectrum. Using this we show that the cavity transmission spectrum demonstrates cold atom analogue of Subnikov de Hass oscillation in electronic condensed matter systems. We discuss the experimental consequences for this oscillation for such system and the related optical bistability.
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