Fermionic formalism for driven-dissipative multilevel systems
Fermionic formalism for driven-dissipative multilevel systems
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DOI：
10.1103/physreva.101.013817
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发表时间：
2018-04
影响因子：
2.9
通讯作者：
Yulia E. Shchadilova;Mor M. Roses;Emanuele G. Dalla Torre;M. Lukin;E. Demler
中科院分区：
文献类型：
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作者：
Yulia E. Shchadilova;Mor M. Roses;Emanuele G. Dalla Torre;M. Lukin;E. Demler
我们提出了一个非平衡多能级系统的费米描述。我们的方法使用的Keldysh路径积分形式主义，并允许我们考虑到周期性的驱动器，以及耗散渠道。该技术是基于马约拉纳费米子表示的自旋1/2模型，遵循早期的应用程序的背景下，自旋和近藤系统。我们应用这种形式主义的问题越来越复杂：一个耗散的两能级系统，一个驱动耗散的多能级原子，和一个广义的迪凯模型描述了许多多能级原子耦合到一个单一的腔。我们比较了我们的理论预测与最近的QED实验，并指出了一个反激光跃迁的特点。我们的技术为分析驱动耗散量子系统提供了一个方便而强大的框架，与基于Lindblad主方程解的其他方法相辅相成。
We present a fermionic description of non-equilibrium multi-level systems. Our approach uses the Keldysh path integral formalism and allows us to take into account periodic drives, as well as dissipative channels. The technique is based on the Majorana fermion representation of spin-1/2 models which follows earlier applications in the context of spin and Kondo systems. We apply this formalism to problems of increasing complexity: a dissipative two-level system, a driven-dissipative multi-level atom, and a generalized Dicke model describing many multi-level atoms coupled to a single cavity. We compare our theoretical predictions with recent QED experiments and point out the features of a counter-lasing transition. Our technique provides a convenient and powerful framework for analyzing driven-dissipative quantum systems, complementary to other approaches based on the solution of Lindblad master equations.