Exact results for the dynamic dimer and trimer structure factors of the one-dimensional $s=\frac{1}{2}\phantom{\rule{0.3em}{0ex}}XX$ model in a transverse magnetic field $(\ensuremath{\Vert}z)$ are presented and discussed in relation to known exact results for the dynamic spin structure factors. In the framework of the Jordan-Wigner representation, the accessible spectrum of the dimer fluctuation operator is limited to two-fermion excitations, whereas that of the trimer fluctuation operator involves two- and four-fermion excitations. The spectral boundaries, soft modes, and singularity structure of the four-fermion excitation continuum as probed by the dynamic trimer structure factor are examined and compared to corresponding properties of the two-fermion excitation continuum, as probed by the dynamic dimer and transverse spin structure factors.Exact results for the dynamic dimer and trimer structure factors of the one-dimensional $s=\frac{1}{2}\phantom{\rule{0.3em}{0ex}}XX$ model in a transverse magnetic field $(\ensuremath{\Vert}z)$ are presented and discussed in relation to known exact results for the dynamic spin structure factors. In the framework of the Jordan-Wigner representation, the accessible spectrum of the dimer fluctuation operator is limited to two-fermion excitations, whereas that of the trimer fluctuation operator involves two- and four-fermion excitations. The spectral boundaries, soft modes, and singularity structure of the four-fermion excitation continuum as probed by the dynamic trimer structure factor are examined and compared to corresponding properties of the two-fermion excitation continuum, as probed by the dynamic dimer and transverse spin structure factors.

arXiv:cond-mat/0507203Physical Review BMar 31, 20057 citations

Dynamical interferences as a probe of short-pulse-photoassociated rubidium dimer

Jordi Mur-Petit, Eliane Luc-Koenig, Françoise Masnou-Seeuws

We analyze the formation of Rb_2 molecules with short photoassociation pulses applied to a cold Rb-85 sample. The laser field couples a continuum level of the ground electronic state X ^1 Sigma_g^+ with bound levels in the 0_u^+(5S+5P_{1/2}) and 0_u^+(5S+5P_{3/2}) vibrational series. The non-adiabatic coupling between the two excited channels induces time-dependent beatings in the populations. We propose to take advantage of these oscillations either to probe the photoassociation process via a photoionization pulse, or to optimize the stabilization step into deep levels of the ground state.We analyze the formation of Rb_2 molecules with short photoassociation pulses applied to a cold Rb-85 sample. The laser field couples a continuum level of the ground electronic state X ^1 Sigma_g^+ with bound levels in the 0_u^+(5S+5P_{1/2}) and 0_u^+(5S+5P_{3/2}) vibrational series. The non-adiabatic coupling between the two excited channels induces time-dependent beatings in the populations. We propose to take advantage of these oscillations either to probe the photoassociation process via a photoionization pulse, or to optimize the stabilization step into deep levels of the ground state.

Dec 14, 20060 citations

Rubidium absorption spectroscopy

Ignacio Enrique Olivares Bahamondes, Patrick Carrazana

Institute of Physics eBooksSep 1, 20220 citations

Exact results for the dynamic dimer and trimer structure factors of the one-dimensional

s=\frac{1}{2}\phantom{\rule{0.3em}{0ex}}XX

model in a transverse magnetic field $(\ensuremath{\Vert}z)$ are presented and discussed in relation to known exact results for the dynamic spin structure factors. In the framework of the Jordan-Wigner representation, the accessible spectrum of the dimer fluctuation operator is limited to two-fermion excitations, whereas that of the trimer fluctuation operator involves two- and four-fermion excitations. The spectral boundaries, soft modes, and singularity structure of the four-fermion excitation continuum as probed by the dynamic trimer structure factor are examined and compared to corresponding properties of the two-fermion excitation continuum, as probed by the dynamic dimer and transverse spin structure factors.