Vacuum-Induced Processes in Multilevel Atoms

Cooling a two-level emitter in photonic-crystal environments

“…k L r = η(b+b † ), where b † (b) satisfy the single-mode bosonic commutation relations [3][4][5]. Expanding the laser-atom interaction Hamiltonian to the second order in the small parameter η as well as eliminating the EMF operators in the standard way and in the Born-Markov approximations [34] one arrive then at the following dressed-state master equation:…”

“…The Hamiltonian describing a two-level atomic system embedded in a photonic crystal environment and possessing an induced dipole d, frequency ω 0 , and interacting with a coherent source of frequency ω L , in a frame rotating at ω L , and in the dipole approximation is [34]:…”

Quantum correlations among optical and vibrational quanta

“…The qubit operators S z and S ± have the usual meaning and satisfy the standard commutation relations. {a † , b † } and {a, b} are the generation and annihilation operators for photon and phonon subsystems, respectively, and obey the boson commutation relations [13,14].…”

Generation of correlated photon pairs in different frequency ranges

“…The system is driven by a classical off-resonant laser field given by a linearly polarized monochromatic plane-wave field in the dipole approximation E = E 0 cos(ω L t) with laser frequency ω L and amplitude E 0 . The sample is surrounded by a quantized environment that accounts for the processes of spontaneous emission [30]. The Hamiltonian H describing the system takes into account the energy of the environment H E and of the twolevel system H T , the interaction-energy between the laser and the two-level system H I1 and the interaction-energy between the environment and the two-level system H I2 : (1) where we define the Rabi frequency Ω = ℘ 12 · E 0 / , and G = (℘ 11 − ℘ 22 ) · E 0 / leads to broken inversion symmetry [31].…”