Maxwell boundary conditions imply non-Lindblad master equation
arXiv:1603.00535 · doi:10.1103/PhysRevA.94.033802
Abstract
From the Hamiltonian connecting the inside and outside of an Fabry-Perot cavity, which is derived from the Maxwell boundary conditions at a mirror of the cavity, a master equation of a non-Lindblad form is derived when the cavity embeds matters, although we can transform it to the Lindblad form by performing the rotating-wave approximation to the connecting Hamiltonian. We calculate absorption spectra by these Lindblad and non-Lindblad master equations and also by the Maxwell boundary conditions in the framework of the classical electrodynamics, which we consider the most reliable approach. We found that, compared to the Lindblad master equation, the absorption spectra by the non-Lindblad one agree better with those by the Maxwell boundary conditions. Although the discrepancy is highlighted only in the ultra-strong light-matter interaction regime with a relatively large broadening, the master equation of the non-Lindblad form is preferable rather than of the Lindblad one for pursuing the consistency with the classical electrodynamics.
22 pages, 9 figures
References in corpus (12)
- Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
- Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
- Ultra-Strong Light-Matter Coupling Regime with Polariton Dots
- Strong Coupling of a Quantum Oscillator to a Flux Qubit at its Symmetry Point
- Microscopic derivation of the Jaynes-Cummings model with cavity losses
- Superradiant Decay of Cyclotron Resonance of Two-Dimensional Electron Gases
- The Rotating-Wave Approximation: Consistency and Applicability from an Open Quantum System Analysis
- Ancillary qubit spectroscopy of cavity (circuit) QED vacua
- Stability of polarizable materials against superradiant phase transition
- A recipe for Hamiltonian of system-environment coupling applicable to ultrastrong light-matter interaction regime
- Dissipation and detection of polaritons in ultrastrong coupling regime
- Laser under ultrastrong electromagnetic interaction with matter