论文标题

广义的拉比 - 哈伯德链中的超高式,电荷密度波和晶格量规理论

Superradiance, charge density waves and lattice gauge theory in a generalized Rabi-Hubbard chain

论文作者

Gagge, Axel, Larson, Jonas

论文摘要

我们研究了一个一维的拉比 - 哈伯德类型的模型,以使每个腔之间都夹有QDOT。 QDOT的作用是在相邻腔之间传输光子,同时充当光子非线性。我们考虑$λ$配置中的三级QDOT,其中左右与右腿夫妇专门位于左或右腔。 This non-commuting interaction leads to two highly entangled incompressible phases, separated by a second order quantum phase transition: the qdot degrees-of-freedom act as a dynamical lattice for the photons and a Peierls instability breaks a second $\mathbb{Z}_2$ symmetry which leads to a dimerization in entanglement and photon number.我们还发现正常的绝缘阶段和一个充当量子多体超级阶段的超氟相位。在超级阶段中,$ \ mathbb {z} _2 $对称性被打破,相转换属于横向字段ISING模型通用类。最后,我们表明该模型的限制可以解释为$ \ mathbb {z} _2 $ lattice仪表理论。

We investigate a one-dimensional Rabi-Hubbard type of model, arranged such that a qdot is sandwiched between every cavity. The role of the qdot is to transmit photons between neighboring cavities, while simultaneously acting as a photon non-linearity. We consider three-level qdots in the $Λ$ configuration, where the left and right leg couples exclusively to the left or right cavity. This non-commuting interaction leads to two highly entangled incompressible phases, separated by a second order quantum phase transition: the qdot degrees-of-freedom act as a dynamical lattice for the photons and a Peierls instability breaks a second $\mathbb{Z}_2$ symmetry which leads to a dimerization in entanglement and photon number. We also find a normal insulating phase and a superfluid phase that acts as a quantum many-body superradiant phase. In the superradiant phase, a $\mathbb{Z}_2$ symmetry is broken and the phase transition falls within the transverse field Ising model universality class. Finally, we show that a limit of the model can be interpreted as a $\mathbb{Z}_2$ lattice gauge theory.

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