Dark-state and loss-induced phenomena in the quantum-optical regime of $\Lambda$-type three-level systems

Abstract

The interaction of matter with quantum light leads to phenomena which cannot be explained by semiclassical approaches. Of particular interest are states with broad photon number distributions which allow processes with high-order Fock states. Here, we analyze a Jaynes-Cummings-type model with three electronic levels which is excited by quantum light. As quantum light we consider coherent and squeezed states. In our simulations we include several loss mechanisms, namely, dephasing, cavity, and radiative losses which are relevant in real systems. We demonstrate that losses allow one to control the population of electronic levels and may induce coherent population trapping, as well as lead to a redistribution of the photon statistics among the quantum fields and even to a transfer of the photon statistics from one field to another. Moreover, we introduce and analyze a novel quantity, the quantum polarization, and demonstrate its fundamental difference compared to the classical polarization. Using the quantum polarization and the third level population, we investigate electromagnetically induced transparency in the presence of quantum light and show its special features for the case of squeezed light. Finally, quantum correlations between fields are studied and analyzed in the presence of different types of losses.

References in corpus (21)

• Electromagnetically Induced Transparency and Slow Light with Optomechanics
• Single photon quantum cryptography
• Quantum Memories. A Review based on the European Integrated Project "Qubit Applications (QAP)"
• All Optical Neural Network with Nonlinear Activation Functions
• 30 years of squeezed light generation
• Controlled Single-Photon Emission from a Single Trapped Two-Level Atom
• Quantum Interference of Photon Pairs from Two Trapped Atomic Ions
• Coherent Population Trapping of an Electron Spin in a Single Negatively Charged Quantum Dot
• Quantum information processing with a single photon by input-output process regarding low-Q cavities
• Single microwave-photon detector using an artificial $\Lambda$-type three-level system
• Shortcut to adiabatic population transfer in quantum three-level systems: effective two-level problems and feasible counter-diabatic driving
• Coherent Population Trapping of Electron Spins in a Semiconductor
• Spatially single-mode source of bright squeezed vacuum
• A Hybrid Quantum Memory Enabled Network at Room Temperature
• Optimal storage of a single photon by a single intra-cavity atom
• Quantum detector tomography of a 2x2 multi-pixel array of superconducting nanowire single photon detectors
• On-demand generation of higher-order Fock states in quantum-dot--cavity systems
• Classification of Dark States in Multi-level Dissipative Systems
• Observation of Mollow Triplets with Tunable Interactions in Double Lambda Systems of Individual Hole Spins
• High resolution two-dimensional optical spectroscopy of electron spins
• Darkness of two-mode squeezed light in Λ-type atomic system

Cited by in corpus (2)

• Collapse of dark states in Tavis-Cummings model
• Description of the non-Markovian dynamics of atoms in terms of a pure state