We present a systematic method to implement a perturbative Hamiltonian diagonalization based on the time-dependent Schrieffer-Wolff transformation. Applying our method to strong parametric interactions we show how, even in the dispersive regime, full Rabi model physics is essential to describe the dressed spectrum. Our results unveil several qualitatively different results, including realization of large energy-level shifts, tunable in magnitude and sign with the frequency and amplitude of the pump mediating the parametric interaction. Crucially, Bloch-Siegert shifts, typically thought to be important only in the ultrastrong or deep-strong coupling regimes, can be rendered large even for weak dispersive interactions to realize points of exact cancelation of dressed shifts (``blind spots'') at specific pump frequencies. The framework developed here highlights the rich physics accessible with time-dependent interactions and serves to significantly expand the functionalities for control and readout of strongly interacting quantum systems.We present a systematic method to implement a perturbative Hamiltonian diagonalization based on the time-dependent Schrieffer-Wolff transformation. Applying our method to strong parametric interactions we show how, even in the dispersive regime, full Rabi model physics is essential to describe the dressed spectrum. Our results unveil several qualitatively different results, including realization of large energy-level shifts, tunable in magnitude and sign with the frequency and amplitude of the pump mediating the parametric interaction. Crucially, Bloch-Siegert shifts, typically thought to be important only in the ultrastrong or deep-strong coupling regimes, can be rendered large even for weak dispersive interactions to realize points of exact cancelation of dressed shifts (``blind spots'') at specific pump frequencies. The framework developed here highlights the rich physics accessible with time-dependent interactions and serves to significantly expand the functionalities for control and readout of strongly interacting quantum systems.

arXiv:2103.09260Physical Review AppliedAug 3, 202215 citations

Effect of dispersion fluctuations on widely tunable optical parametric amplification in photonic crystal fibers

J. S. Y. Chen, Stuart G. Murdoch, R. Leonhardt +1 more

The effect of dispersion fluctuations on the conversion efficiency of large frequency shift parametric sidebands is studied by numerical simulation and experiment. Numerical results based on periodic and random dispersion models are used to fit the experimental results. The fitting parameters provide a measure of the uniformity of the photonic crystal fiber used in the experiment. This allows us to place limits on the required uniformity of a photonic crystal fiber for strong frequency conversion.The effect of dispersion fluctuations on the conversion efficiency of large frequency shift parametric sidebands is studied by numerical simulation and experiment. Numerical results based on periodic and random dispersion models are used to fit the experimental results. The fitting parameters provide a measure of the uniformity of the photonic crystal fiber used in the experiment. This allows us to place limits on the required uniformity of a photonic crystal fiber for strong frequency conversion.

Optics ExpressJan 1, 200654 citations

Nonlinear Phase Shifts in a Counterpropagating Quasi-Phase-Matched Configuration

Gary D. Landry, Theresa A. Maldonado

Springer eBooksJan 1, 19990 citations

Parametric dispersion in electromagnetically induced transparency

Matthias A. Müller, F. Homann, R.-H. Rinkleff +2 more

We analyze both experimentally and theoretically the phase shift of a fixed coupling laser field in a \ensuremath{\Lambda}-type system induced by a tunable probe laser field. The measurements are performed with a heterodyne interferometer on a beam of cesium atoms in the ${D}_{2}$ line. This system exhibits electromagnetically induced transparency with a rapidly varying refractive index. The parametric dispersion of the coupling field over a range of six decades of coupling laser intensities is investigated and found to be in accord with the predictions from the semiclassical model.We analyze both experimentally and theoretically the phase shift of a fixed coupling laser field in a \ensuremath{\Lambda}-type system induced by a tunable probe laser field. The measurements are performed with a heterodyne interferometer on a beam of cesium atoms in the ${D}_{2}$ line. This system exhibits electromagnetically induced transparency with a rapidly varying refractive index. The parametric dispersion of the coupling field over a range of six decades of coupling laser intensities is investigated and found to be in accord with the predictions from the semiclassical model.

Physical Review AOct 26, 200019 citations

Dynamical susceptibilities in a strong coupling approach

Andrij M. Shvaika

arXiv:cond-mat/9912300Physica C SuperconductivityNov 1, 200024 citations

{D}_{2}

line. This system exhibits electromagnetically induced transparency with a rapidly varying refractive index. The parametric dispersion of the coupling field over a range of six decades of coupling laser intensities is investigated and found to be in accord with the predictions from the semiclassical model.