Unidimensional Time Domain Quantum Optics
arXiv:1810.06932 · doi:10.1103/PhysRevA.100.023833
Abstract
Choosing the right first quantization basis in quantum optics is critical for the interpretation of experimental results. The usual frequency basis is, for instance, inappropriate for short, subcycle waveforms. Deriving first quantization in time domain shows that the electromagnetic field is not directly proportional, nor even causally related, to the photonic field (the amplitude probability of a photon detection). We derive the relation between the two and calculate the statistics of the electromagnetic field for specific states in time domain, such as the single photon Fock state. We introduce the dual of the Hamiltonian in time domain and extend the concept of quadratures to all first quantization bases.
4 pages, 3 figures; supplementary material: 6 pages, 1 figure; changes from version 1: discussion of results largely extended
References in corpus (13)
- Microwave photonics with superconducting quantum circuits
- Measurements of the Correlation Function of a Microwave Frequency Single Photon Source
- Photon wave functions, wave-packet quantization of light, and coherence theory
- Introduction to Quantum-limited Parametric Amplification of Quantum Signals with Josephson Circuits
- Schemes for the observation of photon correlation functions in circuit QED with linear detectors
- Subcycle Quantum Electrodynamics
- Experimental Test of the High-Frequency Quantum Shot Noise Theory in a Quantum Point Contact
- Dynamics of Quantum Noise in a Tunnel Junction under ac Excitation
- Antibunched photons emitted by a quantum point contact out of equilibrium
- Emission of non-classical radiation by inelastic Cooper pair tunneling
- Photon Statistics of Propagating Thermal Microwaves
- Experimental Violation Of Bell-like Inequalities By Electronic Shot Noise
- Photon pair shot noise in electron shot noise