Quantum fidelity of electromagnetically induced transparency: the full quantum theory

Abstract

We present a full quantum model to study the fidelity of single photons with different quantum states propagating in a medium exhibiting electromagnetically induced transparency (EIT). By using the general reservoir theory, we can calculate the quantum state of the transmitted probe photons that reveal the EIT phenomenon predicted by semiclassical theory while reflecting the influence of the quantum fluctuations of the strong coupling field. Our study shows that the coupling field fluctuations not only change the quantum state of the probe photons, but also slightly affect its transmittance. Moreover, we demonstrate that the squeezed coupling field can enhance the influence of its fluctuations on the quantum state of the probe photons, which means that the EIT effect can be manipulated by controlling the quantum state properties of the coupling field. The full quantum theory in this paper is suitable for studying quantum systems related to the EIT mechanism that would allow us to examine various quantum effects in EIT-based systems from a full quantum perspective.

Controlling Frequency-Domain Hong-Ou-Mandel Interference via Electromagnetically Induced Transparency

“…In accordance with the reduced density operator approach in Ref. [35] and under the steady-state condition, the matrix element of the output probe and signal fields in the Fock-state basis is given by…”

Fluctuation of Plasmonically Induced Transparency Peaks within Multi-Rectangle Resonators

“…Plasmonically induced transparency (PIT) is a novel phenomenon with some properties that allow it to outperform EIT in some ways. Furthermore, because of its room-temperature manipulation, large bandwidth, and integration with nanoplasmonic circuits [ 28 , 29 ], PIT offers convenient and selective operation options. For example, EIT has been demonstrated through interaction with a wide silver line as a bright pattern and a pair of narrow silver lines as a dark pattern.…”