Adiabatic theorem for a condensate system in an atom-molecule dark state

Ling, Hong Y.; Maenner, Peter; Zhang, Weiping; Pu, Han

doi:10.1103/physreva.75.033615

Cited by 41 publications

(30 citation statements)

References 27 publications

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“…For this purpose, we linearize the equations of motion including the chemical potential and obtain the Jacobi matrix around the fixed point (CPT state) for the atom-pentamer conversion system. The excitation frequencies (corresponding to the eigenvalues of the Jacobi matrix) of the linearized equation other than the zero-frequency mode (corresponding to the Goldstone mode [28]) can be found analytically as …”

Section: Linear Instability and Adiabatic Fidelity Of Cpt Statementioning

confidence: 99%

Creating pentamer molecules by generalized stimulated Raman adiabatic passage

Dou

Cao

et al. 2012

Phys. Rev. A

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Section: Linear Instability and Adiabatic Fidelity Of Cpt Statementioning

confidence: 99%

Creating pentamer molecules by generalized stimulated Raman adiabatic passage

Dou

Cao

et al. 2012

Phys. Rev. A

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“…In their method, the deviations from the CPT evolution form a set of linearized differential equations, which is easily solved to obtain an adiabaticity parameter. Then, by taking account of the collisions [90], Ling et al confirmed the validity of this method by achieving again the similar adiabatic condition. This Section will be devoted to introducing the nonlinear adiabatic condition and to compare the difference of atom-dimer and atom-trimer conversion [89].…”

Section: ḣ|mentioning

confidence: 73%

“…The initial populations are chosen as |ψ a (0)| 2 = |ψ b (0)| 2 = 0.5. For a comparison, the atom-homonuclear dimer conversion efficiency is close to 80% in the collisionless limit [88] or more than 85% with higher dump Rabi frequency (with the collisions) [87,90]. For the 87 Rb atoms, a high transfer efficiency of up to 87% was achieved with molecular lifetime of about 1 s by Winkler et al [152].…”

Section: Synthesis Of Heteronuclear Moleculesmentioning

confidence: 95%

“…In view of their novel anisotropic properties [82,83], quantum control of triatomic molecule is of particular interest as it may lead to intriguing developments such as the realization of a triatomic molecular matter-wave amplifier [84] or quantum computing with a trimer lattice [58,85,86]. In Section 3, we will introduce the concept of atom-molecule dark state [87][88][89][90][91][92] and its applications in creating molecular trimer A 2 B. An important result is that the creation of heteronuclear trimers can be significantly enhanced by constructive interference of two reaction channels leading to their formation.…”

Section: Introductionmentioning

confidence: 99%

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Quantum superchemistry of de Broglie waves: New wonderland at ultracold temperature

2010

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The experimental realization of atomic Bose-Einstein condensation at ultracold temperature has led to rapid advances in creating and manipulating cold molecules, and which has given birth to a new research field of quantum matter-wave superchemistry. Contrary to the classical Arrhenius law, the tunnelingdominated ultracold reactions can be realized through the highly-controlled magneto-optical technique. Novel quantum effects have been identified in these cold reactions, such as the super-selectivity rule in dissociating triatomic molecules, and the quantum size (vessel-shape) effect. In this review, we focus on a variety of new achievements in this fascinating matter-wave wonderland, including the quantum finitenumber effect and double-slit interference in assembling cold molecules, the quantum noise in triggering collective abstraction reaction, and the magnetic phase transition in a laser-catalyzed quantum spin-mixing gas. The practical applications of matter-wave superchemistry are also introduced, such as the optical information storage via quantum photo-association, and the laser-enhanced creation of spinor or even chiral molecules.

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“…This kind of atom-molecule systems can be well described by a mean-field theory and can become nonlinear systems when both the atoms and the molecules are bosons and the number of particles in this system is large. As nonlinearity can cause the breakdown of the adiabatic process, there has been great interest in the adiabatic evolution of the atom-molecule systems [12][13][14][15][16][17]. Naturally, there are also efforts to try to study the Berry phase in this type of systems [18].…”

Section: Introductionmentioning

confidence: 99%

Berry connection in atom-molecule systems

Cui

Wu²

2011

Phys. Rev. A

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In the mean-field theory of atom-molecule systems, where bosonic atoms combine to form molecules, there is no usual U(1) symmetry, presenting an apparent hurdle for defining the Berry phase and Berry curvature for these systems. We define a Berry connection for this system, with which the Berry phase and Berry curvature can be naturally computed. We use a three-level atom-molecule system to illustrate our results. In particular, we have computed the mean-field Berry curvature of this system analytically, and compared it to the Berry curvature computed with the second-quantized model of the same system. An excellent agreement is found, indicating the validity of our definition.

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Adiabatic theorem for a condensate system in an atom-molecule dark state

Cited by 41 publications

References 27 publications

Creating pentamer molecules by generalized stimulated Raman adiabatic passage

Creating pentamer molecules by generalized stimulated Raman adiabatic passage

Quantum superchemistry of de Broglie waves: New wonderland at ultracold temperature

Berry connection in atom-molecule systems

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