Parametric model for high-order harmonic generation with quantized fields
arXiv:2311.01726 · doi:10.1103/PhysRevA.109.053717
Abstract
A quantum optical model for the high-order harmonic generation is presented, in which both the exciting field and the high harmonic modes are quantized, while the target material appears via parameters only. As a consequence, the model is independent from the excited material system to a large extent, and allows us to focus on the properties of the electromagnetic fields. Technically, the Hamiltonian known for parametric down-conversion is adopted, where photons in the th harmonic mode are created in exchange of annihilating photons from the fundamental mode. In our treatment, initially the fundamental mode is in a coherent state corresponding to large photon numbers, while the high harmonic modes are in vacuum state. Due to the interaction, the latter modes get populated while the fundamental one loses photons. Analytical approximations are presented for the time evolution that are verified by numerically exact calculations. For multimode, finite bandwith excitation, the time dependence of the high-order harmonic radiation is also given.
References in corpus (16)
- Generation of optical Schrödinger cat states in intense laser-matter interactions
- On the Quantum-Optical Nature of High Harmonic Generation
- Optical Properties of Relativistic Plasma Mirrors
- High harmonic generation driven by quantum light
- Quantum Indistinguishability by Path Identity: The awakening of a sleeping beauty
- Quantum electrodynamics of intense laser-matter interactions: A tool for quantum state engineering
- Sub-cycle quantum electrodynamics in strongly laser-driven semiconductors
- Strong laser physics, non-classical light states and quantum information science
- Quantum optical signatures in strong-field laser physics: Infrared photon counting in high-order-harmonic generation
- Entanglement of Orbital Angular Momentum in Non-Sequential Double Ionization
- High-order harmonics as induced by a quantized field:a phase-space picture
- Theory of entanglement and measurement in high harmonic generation
- A quantum optical model for the dynamics of high harmonic generation
- A quantum optical description of photon statistics and cross-correlations in high harmonic generation
- Quantum entanglement in strong-field ionization
- Oscillations in Quantum Entanglement During Rescattering