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 Λ-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 Λ-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.
Highlights
Induced transparency discovered in quantum optics has long been an important effect in physics
We study non-Markovian quantum dynamics of the dark state in a Λ-type three-level system coupled to two bosonic baths and reveal the effect of counter-rotating terms on the dark state
We have studied the non-Markovian quantum dynamics of the dark state in a Λ-type three-level system coupled to two bosonic baths and revealed the effect of the counter-rotating terms in the system-bath coupling on the dark state
Summary
Induced transparency discovered in quantum optics has long been an important effect in physics (see, e.g.,1 for a review). This phenomenon of absorption cancelation is interpreted as the appearance of dark state or coherent population trapping. In addition to the atomic systems, dark state has been observed in a number of solid-state systems including quantum dots[2,3], nitrogen-vacancy center[4] and silicon-vacancy center in diamond[5,6]. Dark state can have different applications in physics. Dark state can have important applications to the slow light[17] and photocell[18]
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