Single-atom laser generates nonlinear coherent states

Abstract

The stationary state of a single-atom (single-qubit) laser is shown to be a phase-averaged nonlinear coherent state - an eigenstate of a specific deformed annihilation operator. The solution found for the stationary state is unique and valid for all regimes of the single-qubit laser operation. We have found the parametrization of the deformed annihilation operator which provides superconvergence in finding the stationary state by iteration. It is also shown that, contrary to the case of the usual laser with constant Einstein coefficients describing transition probabilities, for the single-atom laser the interaction-induced transition probabilities effectively depend on the field intensity.

References in corpus (6)

• Theory of Photon Blockade by an Optical Cavity with One Trapped Atom
• f-Oscillators and Nonlinear Coherent States
• Observation of the Vacuum-Rabi Spectrum for One Trapped Atom
• Single artificial-atom lasing
• Interfacing Collective Atomic Excitations and Single Photons
• Regimes of strong light-matter coupling under incoherent excitation

Cited by in corpus (6)

• Laser Theory for Optomechanics: Limit Cycles in the Quantum Regime
• Analytical results from the quantum theory of a single-emitter nanolaser. II
• Tomography on f-oscillators
• Time-ordering effects in a one-atom laser based on electromagnetically-induced transparency
• Quasi-probability Q for a single-atom laser generating in the 'semi-classical' regime
• Bipartite Entanglement of Deformed Coherent States