Beyond the Rabi model: light interactions with polar atomic systems in a cavity

Abstract

The Rabi Hamiltonian, describing the interaction between a two-level atomic system and a single cavity mode of the electromagnetic field, is one of the fundamental models in quantum optics. The model becomes exactly solvable by considering an atom without permanent dipole moments, whose excitation energy is quasi-resonant with the cavity photon energy, and by neglecting the non resonant (counter-rotating) terms. In this case, after including the decay of either the atom or the cavity mode to a continuum, one is able to derive the well-known phenomenology of quasi-resonant transitions, including the fluorescence triplets. In this work we consider the most general Rabi model, incorporating the effects of permanent atomic electric dipole moments, and, based on a perturbative analysis, we compare the intensities of emission lines induced by rotating terms, counter-rotating terms and parity-symmetry-breaking terms. The analysis reveals that the emission strength related to the existence of permanent dipoles may surpass the one due to the counter-rotating interaction terms, but is usually much weaker than the emission due to the main, resonant coupling. This ratio can be modified in systems with a reduced dimensionality or by engineering the energy spectral density of the continuum.

arXiv comment11 pages, 7 figures

References in corpus (18)

• Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
• Ultrastrong coupling regimes of light-matter interaction
• On the Integrability of the Rabi Model
• Generalized rotating-wave approximation for arbitrarily large coupling
• Exact solvability of the quantum Rabi models within Bogoliubov operators
• Ultrastrong coupling regime of cavity QED with phase-biased flux qubits
• Multiple Rabi Splittings under Ultra-Strong Vibrational Coupling
• Collective, Coherent, and Ultrastrong Coupling of 2D Electrons with Terahertz Cavity Photons
• The quantum Rabi model: solution and dynamics
• Photonic realization of the quantum Rabi model
• Quantum Zeno and Anti-Zeno Effect without Rotating Wave Approximation
• Matter Coupling to Strong Electromagnetic Fields in Two-Level Quantum Systems with Broken Inversion Symmetry
• Ultra-high Q terahertz whispering-gallery modes in a silicon resonator
• Cold-atom based implementation of the quantum Rabi model
• Asymmetric quantum dot in microcavity as a nonlinear optical element
• Creation of a squeezed photon distribution using artificial atoms with broken inversion symmetry
• Extremely terahertz electric-field enhancement in a high-Q photonic crystal slab cavity with nanoholes
• Spontaneous emission in dispersive media without point-dipole approximation