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PHOTOASSOCIATION OF ULTRACOLD ATOMS

Randall G. Hulet

Dalgarno Celebratory SymposiumNov 1, 20090 citations

Demkov-kunike model for cold atom association: Weak interaction regime

Ruzan Sokhoyan, H. H. Azizbekyan, Claude Leroy +1 more

We study the nonlinear mean-field dynamics of molecule formation at coherent photo- and magneto-association of an atomic Bose-Einstein condensate for the case when the external field configuration is defined by the quasi-linear level crossing Demkov-Kunike model, characterized by a bell-shaped pulse and finite variation of the detuning. We present a general approach to construct an approximation describing the temporal dynamics of the molecule formation in the weak interaction regime and apply the developed method to the nonlinear Demkov-Kunike problem. The presented approximation, written as a scaled solution to the linear problem associated to the nonlinear one we treat, contains fitting parameters which are determined through a variational procedure. Assuming that the parameters involved in the solution of the linear problem are not modified, we suggest an analytical expression for the scaling parameter.We study the nonlinear mean-field dynamics of molecule formation at coherent photo- and magneto-association of an atomic Bose-Einstein condensate for the case when the external field configuration is defined by the quasi-linear level crossing Demkov-Kunike model, characterized by a bell-shaped pulse and finite variation of the detuning. We present a general approach to construct an approximation describing the temporal dynamics of the molecule formation in the weak interaction regime and apply the developed method to the nonlinear Demkov-Kunike problem. The presented approximation, written as a scaled solution to the linear problem associated to the nonlinear one we treat, contains fitting parameters which are determined through a variational procedure. Assuming that the parameters involved in the solution of the linear problem are not modified, we suggest an analytical expression for the scaling parameter.

arXiv:0910.3387Journal of Contemporary Physics (Armenian Academy of Sciences)Nov 10, 20098 citations

Creating Steady Atom-Molecule Entanglement by Demkov-Kunike Type Non-adiabatic Transition

P. Zhang, H. T. Quan, C. P. Sun

We, based on the photoassociation of fermion atoms into bosonic molecules, propose a scheme to create the steady entanglement between the atom state and the molecule state inside an optical lattice. The stability of entanglement state is guaranteed by sweeping the frequency of Ramman laser beam through resonance according to the second Demkov-Kunike (DK2) nonadiabatic transition model\cite{DK,models}. The probability amplitude of each components can be precisely controlled by adjusting the sweeping parameter.We, based on the photoassociation of fermion atoms into bosonic molecules, propose a scheme to create the steady entanglement between the atom state and the molecule state inside an optical lattice. The stability of entanglement state is guaranteed by sweeping the frequency of Ramman laser beam through resonance according to the second Demkov-Kunike (DK2) nonadiabatic transition model\cite{DK,models}. The probability amplitude of each components can be precisely controlled by adjusting the sweeping parameter.

arXiv:quant-ph/0403049Mar 5, 20041 citation

Photoassociation of ultracold atoms

Daniel J. Heinzen, Joseph D. Miller, Robert A. Cline

AIP conference proceedingsJan 1, 19951 citation

Theory of long-range photoassociation of ultracold atoms with ultracold molecules

Olivier Dulieu, Jesús Pérez‐Ríos, Maxence Lepers

Bulletin of the American Physical SocietyJun 4, 20130 citations

Demkov-Kunike model in cold molecule formation: the fast resonance sweep regime of the strong interaction limit

Ruzan Sokhoyan

We study a quadratic-nonlinear version of the level-crossing Demkov-Kunike problem relevant to coherent molecule formation via photo- or Feshbach-association of ultracold atoms. Using an exact third-order nonlinear differential equation for the molecular state probability, we construct an approximate solution to the problem in the fast sweep regime of the strong interaction limit. The constructed approximation, defined as a solution of a first-order nonlinear equation, contains a fitting parameter which we determine through a variational procedure. The suggested approach can be interpreted as a modification of the adiabatic approximation and can further be used for the treatment of analogous nonlinear two-state problems.We study a quadratic-nonlinear version of the level-crossing Demkov-Kunike problem relevant to coherent molecule formation via photo- or Feshbach-association of ultracold atoms. Using an exact third-order nonlinear differential equation for the molecular state probability, we construct an approximate solution to the problem in the fast sweep regime of the strong interaction limit. The constructed approximation, defined as a solution of a first-order nonlinear equation, contains a fitting parameter which we determine through a variational procedure. The suggested approach can be interpreted as a modification of the adiabatic approximation and can further be used for the treatment of analogous nonlinear two-state problems.

Journal of Contemporary Physics (Armenian Academy of Sciences)Mar 22, 20106 citations

The Demkov-Kunike model in the coherent magneto- and photoassociation of ultracold atoms.

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The Demkov-Kunike model in the coherent magneto- and photoassociation of ultracold atoms.

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