Microscopic theory of quantum dot interactions with quantum light: local field effect

Abstract

A theory of both linear and nonlinear electromagnetic response of a single QD exposed to quantum light, accounting the depolarization induced local--field has been developed. Based on the microscopic Hamiltonian accounting for the electron--hole exchange interaction, an effective two--body Hamiltonian has been derived and expressed in terms of the incident electric field, with a separate term describing the QD depolarization. The quantum equations of motion have been formulated and solved with the Hamiltonian for various types of the QD excitation, such as Fock qubit, coherent fields, vacuum state of electromagnetic field and light with arbitrary photonic state distribution. For a QD exposed to coherent light, we predict the appearance of two oscillatory regimes in the Rabi effect separated by the bifurcation. In the first regime, the standard collapse--revivals phenomenon do not reveal itself and the QD population inversion is found to be negative, while in the second one, the collapse--revivals picture is found to be strongly distorted as compared with that predicted by the standard Jaynes-Cummings model. %The model developed can easily be extended to %%electromagnetic excitation. For the case of QD interaction with arbitrary quantum light state in the linear regime, it has been shown that the local field induce a fine structure of the absorbtion spectrum. Instead of a single line with frequency corresponding to which the exciton transition frequency, a duplet is appeared with one component shifted by the amount of the local field coupling parameter. It has been demonstrated the strong light--mater coupling regime arises in the weak-field limit. A physical interpretation of the predicted effects has been proposed.

14 pages, 7 figures

References in corpus (8)

• Conserving and Gapless Approximations for an Inhomogeneous Bose Gas at Finite Temperatures
• Solitons and Rabi Oscillations in a Time-Dependent BCS Pairing Problem
• Resonant dipole-dipole interaction in the presence of dispersing and absorbing surroundings
• Linearly Coupled Bose-Einstein Condensates: From Rabi Oscillations and Quasi-Periodic Solutions to Oscillating Domain Walls and Spiral Waves
• Mean field theory and fluctuation spectrum of a pumped, decaying Bose-Fermi system across the quantum condensation transition
• Thermodynamics and Excitations of Condensed Polaritons in Disordered Microcavities
• Dynamical T-matrix theory for high-density excitons in coupled quantum wells
• Many-Body perturbation theory calculations on circular quantum dots

Cited by in corpus (7)

• Matter Coupling to Strong Electromagnetic Fields in Two-Level Quantum Systems with Broken Inversion Symmetry
• Strong electron-photon coupling in one-dimensional quantum dot chain: Rabi waves and Rabi wavepackets
• Quantum Antennas
• Probing electric and magnetic vacuum fluctuations with quantum dots
• Entanglement in a quantum neural network based on quantum dots
• Discrete solitons in an array of quantum dots
• Soliton nanoantennas in two-dimensional arrays of quantum dots