In this work we present a very effi cient way of solving a spinor version of a time-dependent Gross-Pitaevskii equation (GP). The method we use is a modification of the well known Spli t Operator Method (SOM) - applied to the case of F = 1 spinor Bose-Einstein condensates. We focus here on F = 1 case for an educational purpose only - the extension to higher values of F is straightforward. Our extension of the SOM to the spinor version has many advantages: it is fast, stable, and keeps constant all the physical constrain ts (constants of motion) at very high level.In this work we present a very effi cient way of solving a spinor version of a time-dependent Gross-Pitaevskii equation (GP). The method we use is a modification of the well known Spli t Operator Method (SOM) - applied to the case of F = 1 spinor Bose-Einstein condensates. We focus here on F = 1 case for an educational purpose only - the extension to higher values of F is straightforward. Our extension of the SOM to the spinor version has many advantages: it is fast, stable, and keeps constant all the physical constrain ts (constants of motion) at very high level.

May 15, 20150 citations

OBSERVATION OF TWO-PHOTON EXCITATION FOR ATOMS IN A SQUEEZED VACUUM

N. Ph. Georgiades, Eugene Simon Polzik, Keiichi Edamatsu +1 more

Quantum Electronics and Laser Science ConferenceMay 22, 19950 citations

Real-time analysis of two-photon excitation by correlated photons: Pulse-width dependence of excitation efficiency

Hisaki Oka

We theoretically investigate the dynamics of two-photon excitation by correlated photons with energy anticorrelation in terms of how the excitation efficiency depends on incident pulse width. A three-level atomic system having an intermediate state is used to evaluate the efficiency of two-photon excitation. It is shown that for shorter pulses closer to a monocycle pulse the excitation efficiency by correlated photons is enhanced to become $100$ times as large as that by uncorrelated photons.We theoretically investigate the dynamics of two-photon excitation by correlated photons with energy anticorrelation in terms of how the excitation efficiency depends on incident pulse width. A three-level atomic system having an intermediate state is used to evaluate the efficiency of two-photon excitation. It is shown that for shorter pulses closer to a monocycle pulse the excitation efficiency by correlated photons is enhanced to become $100$ times as large as that by uncorrelated photons.

Physical Review AMay 20, 201023 citations

100

times as large as that by uncorrelated photons.