Dark state with counter-rotating dissipative channels

Abstract

Dark state as a consequence of interference between different quantum states has great importance in the fields of chip-scale atomic clock and quantum information. For the $\Lambda$-type three-level system, this dark state is generally regarded as being dissipation-free because it is a superposition of two lowest states without dipole transition between them. However, previous studies are based on the rotating-wave approximation (RWA) by neglecting the counter-rotating terms in the system-environment interaction. In this work, we study non-Markovian quantum dynamics of the dark state in a $\Lambda$-type three-level system coupled to two bosonic baths and reveal the effect of counter-rotating terms on the dark state. In contrast to the dark state within the RWA, leakage of the dark state occurs even at zero temperature, as a result of these counter-rotating terms. Also, we present a method to restore the quantum coherence of the dark state by applying a leakage elimination operator to the system.

References in corpus (8)

• All-optical formation of coherent dark states of silicon-vacancy spins in diamond
• Coupling a Surface Acoustic Wave to an Electron Spin in diamond via a Dark State
• Counting statistics of coherent population trapping in quantum dots
• Ground-state phase diagram of the quantum Rabi model
• Master Equation and Control of an Open Quantum System with Leakage
• Nonperturbative Leakage Elimination Operators and Control of a Three-Level System
• Quantum Langevin approach for non-Markovian quantum dynamics of the spin-boson model
• Propagation of coupled dark-state polaritons and storage of light in a tripod medium