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In some recent experiments an ultracold gas of $^{40}$K$_2$ (or $^{6}$Li$_2$) molecules has been produced from a degenerate two-component Fermi gas of $^{40}$K (or $^{6}$Li) atoms by adiabatic passage through a Feshbach resonance. The…

Statistical Mechanics · Physics 2007-05-23 Hui Hu , Feng Yuan , Shaojin Qin

We observe large-amplitude Rabi oscillations between an atomic and a molecular state near a Feshbach resonance. The experiment uses 87Rb in an optical lattice and a Feshbach resonance near 414 G. The frequency and amplitude of the…

Statistical Mechanics · Physics 2007-07-19 N. Syassen , D. M. Bauer , M. Lettner , D. Dietze , T. Volz , S. Dürr , G. Rempe

We describe a matter-wave amplifier for vibrational ground state molecules, which uses a Feshbach resonance to first form quasi-bound molecules starting from an atomic Bose-Einstein condensate. The quasi-bound molecules are then driven into…

Other Condensed Matter · Physics 2009-11-10 Chris P. Search , Pierre Meystre

We study the many-body effects on coherent atom-molecule oscillations by means of an effective quantum field theory that describes Feshbach-resonant interactions in Bose gases in terms of an atom-molecule hamiltonian. We determine…

Statistical Mechanics · Physics 2014-10-13 R. A. Duine , H. T. C. Stoof

A general approach is introduced for the efficient simultaneous optimization of pulses that compensate each other' s imperfections within the same scan. This is applied to broadband Ramsey-type experiments, resulting in pulses with…

Quantum Physics · Physics 2015-06-19 Michael Braun , Steffen J. Glaser

Pairs of trapped atoms can be associated to make a diatomic molecule using a time dependent magnetic field to ramp the energy of a scattering resonance state from above to below the scattering threshold. A relatively simple model,…

Other Condensed Matter · Physics 2015-06-24 P. S. Julienne , E. Tiesinga , T. Koehler

We describe a method to stabilize the amplitude of the interrogating microwave field in compact atomic clocks working in a Ramsey approach. In this technique, we take advantage of the pulsed regime to use the atoms themselves as microwave…

Adiabatic operations are powerful tools for robust quantum control in numerous fields of physics, chemistry and quantum information science. The inherent robustness due to adiabaticity can, however, be impaired in applications requiring…

We study the steady state of a zero-temperature Bose gas near a Feshbach or photoassociation resonance using a two-channel mean-field model that incorporates atomic and molecular condensates, as well as correlated atom pairs originating…

Other Condensed Matter · Physics 2009-11-13 Andrew Carmichael , Juha Javanainen

It is proposed to use rectangular Raman pulses for the technique of sequantial large momentum transfer. It is shown that the small parameters that make it possible to use this technology for precision atom interferometry can be 40--200…

Atomic Physics · Physics 2023-12-19 B. Dubetsky

We consider the impurity problem in an orbital Feshbach resonance (OFR), with a single excited clock state $|e\uparrow\rangle$ atom immersed in a Fermi sea of electronic ground state $|g\downarrow\rangle$. We calculate the polaron effective…

Quantum Gases · Physics 2018-04-23 Junjun Xu , Ran Qi

We present non-standard optical Ramsey schemes that use pulses individually tailored in duration, phase, and frequency to cancel spurious frequency shifts related to the excitation itself. In particular, the field shifts and their…

We examine collective magnetoassociation of a Bose-Einstein condensate (BEC), focusing on rapid adiabatic passage from atoms to molecules induced by a sweep of the magnetic field across a wide (>~ 10 G) Feshbach resonance in 85Rb. This…

The quantum state of a flux qubit was successfully pulse-controlled by using a resonant microwave. We observed Ramsey fringes by applying a pair of phase-shifted pi/2 microwave pulses without introducing detuning. With this method, the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tatsuya Kutsuzawa , Shiro Saito , Hirotaka Tanaka , Hayato Nakano , Kouichi Semba , Hideaki Takayanagi

Ultracold ground state dipolar 40K-87Rb molecules have recently been produced in a loose harmonic trap by employing a magnetic field sweep across a Feshbach resonance followed by stimulated Raman adiabatic passage [K.-K. Ni et al., Science…

In an atomic gas near a Feshbach resonance, the energy of two colliding atoms is close to the energy of a bound state, i.e., a molecular state, in a closed channel that is coupled to the incoming open channel. Due to the different spin…

Statistical Mechanics · Physics 2009-11-10 R. A. Duine , H. T. C. Stoof

In the vicinity of a Feshbach resonance, a system of ultracold atoms on an optical lattice undergoes rich physical transformations which involve molecule formation and hopping of molecules on the lattice and thus goes beyond a single-band…

Quantum Gases · Physics 2015-11-20 A. Dirks , K. Mikelsons , H. R. Krishnamurthy , J. K. Freericks

In a recent experiment at JILA [E.A. Donley et al., Nature (London) 417, 529 (2002)] an initially pure condensate of Rb-85 atoms was exposed to a specially designed time dependent magnetic field pulse in the vicinity of a Feshbach…

Condensed Matter · Physics 2008-09-08 Thorsten Koehler , Thomas Gasenzer , Keith Burnett

We precisely measured the binding energy of a molecular state near the Feshbach resonance in a $^{85}$Rb Bose-Einstein condensate (BEC). Rapid magnetic field pulses induced coherent atom-molecule oscillations in the BEC. We measured the…

Statistical Mechanics · Physics 2009-11-10 N. R. Claussen , S. J. J. M. F. Kokkelmans , S. T. Thompson , E. A. Donley , C. E. Wieman

Motivated by recent experiments, we present the time-optimal variational control of bright matter-wave soliton trapped in a quasi-one-dimensional harmonic trap by manipulating the atomic attraction through Feshbach resonances. More…

Quantum Gases · Physics 2020-11-18 Tang-You Huang , Jia Zhang , Jing Li , Xi Chen