Exact calculation of stimulated emission driven by pulsed light
arXiv:1806.04862 · doi:10.1364/OSAC.1.000772
Abstract
Stimulated emission can be defined as the process when an incoming photon stimulates an additional quantum of energy from an atom into the same electromagnetic mode as the impinging photon. Hence, the two outgoing photons are identical. In a waveguide or free space, this intuition is typically found through Fermi's Golden rule, however, this does not properly account for the wave-like nature of the photons. Here, I present an exact solution to stimulated emission from a quantum two-level atom that properly accounts for the incoming and outgoing electromagnetic modes. This result is valid over a huge range of incident photon numbers. For a single incident photon, it shows how the photon must properly mode match the two-level system to cause stimulated emission. For a Fock state drive with large photon number, the exact solution shows how a two-level system Rabi oscillates with the traveling Fock mode as it passes by. I additionally use the same formalism to show that stimulated emission by a coherent pulse cannot be understood as an additional photon being emitted into the incident coherent state because the two-level system's state factorizes with the electromagnetic field's coherent state. Recent advances in superconducting circuits make them an ideal platform to test these predictions.
arXiv comment10 pages, 4 figures
References in corpus (20)
- Advances in Quantum Metrology
- Chiral Quantum Optics
- Microwave photonics with superconducting quantum circuits
- Strongly interacting photons in one-dimensional continuum
- Observation of Resonant Photon Blockade at Microwave Frequencies using Correlation Function Measurements
- Implementing a Universal Gate Set on a Logical Qubit Encoded in an Oscillator
- On-demand quantum state transfer and entanglement between remote microwave cavity memories
- Probing Correlations, Indistinguishability and Entanglement in Microwave Two-Photon Interference
- N-Photon wave packets interacting with an arbitrary quantum system
- A superconducting qubit with Purcell protection and tunable coupling
- Input-Output Formalism for Few-Photon Transport: A Systematic Treatment Beyond Two Photons
- Signatures of two-photon pulses from a quantum two-level system
- Stimulated Emission from a single excited atom in a waveguide
- Scattering of two photons on a quantum emitter in a one-dimensional waveguide: Exact dynamics and induced correlations
- Continuous measurement with traveling wave probes
- A quantum rectifier in a one-dimensional photonic channel
- Quantum Stratonovich Stochastic Calculus and the Quantum Wong-Zakai Theorem
- Optimal irreversible stimulated emission
- Exact Analysis of the Response of Quantum Systems to Two Photons Using a QSDE Approach
- Monitoring stimulated emission at the single photon level in one-dimensional atoms
Cited by in corpus (6)
- Input-Output Theory with Quantum Pulses
- Measuring kinetic parameters using quantum plasmonic sensing
- Fundamental limits of pulsed quantum light spectroscopy: Dipole moment estimation
- Photon-added coherent states using the continuous-mode formalism
- Jaynes-Cummings interaction with a traveling light pulse
- Exact solution of a lambda quantum system driven by a two-photon wavepacket