Shapiro-like resonance in ultracold molecule production via an oscillating magnetic field

Liu, Bin; Fu, Libin; Liu, Jie

doi:10.1103/physreva.81.013602

Cited by 12 publications

(9 citation statements)

References 40 publications

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“…The no scattering limit U aa =U ab =U bb =0 is the model introduced in [14], for which a Bethe Ansatz solution was given in [16]. This reduced model has been adopted to investigate properties of ultracold molecules formed through Rubidium [20,23] and Caesium [30] atoms.…”

Section: The Hamiltonian and Exact Solutionmentioning

confidence: 99%

“…The present study concerns a boson conversion model involving only two bosonic modes, one associated with an atomic degree of freedom and another with a homonuclear molecular degree of freedom. This model, including some specialised cases, has been the subject of several earlier studies [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. In particular, a quantum phase transition boundary line was identified in [18] through an analysis of the semi-classical equations of motion.…”

Section: Introductionmentioning

confidence: 99%

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Exact ground-state correlation functions of an atomic-molecular Bose–Einstein condensate model

Links

Shen

2018

J. Phys. B: At. Mol. Opt. Phys.

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We study the ground-state properties of an atomic-molecular boson conversion model through an exact Bethe Ansatz solution. For a certain range of parameter choices, we prove that the groundstate Bethe roots lie on the positive real-axis. We then use a continuum limit approach to obtain a singular integral equation characterising the distribution of these Bethe roots. Solving this equation leads to an analytic expression for the ground-state energy. The form of the expression is consistent with the existence of a line of quantum phase transitions, which has been identified in earlier studies. This line demarcates a molecular phase from a mixed phase. Certain correlation functions, which characterise these phases, are then obtained through the Hellmann-Feynman theorem.

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Section: The Hamiltonian and Exact Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Exact ground-state correlation functions of an atomic-molecular Bose–Einstein condensate model

Links

Shen

2018

J. Phys. B: At. Mol. Opt. Phys.

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“…(14) and (15) are satisfied. It should be noted that bosonic junctions driven by a sinusoidal field can show Shapiro-like resonances [22][23][24]. Such resonances manifest as stable resonance islands in phase space of the semiclassical equations of the Bose-Hubbard Hamiltonian, and correspond to nearly self-trapped states with unbalanced atoms in the two wells (see, for instance, Ref.…”

Section: -2mentioning

confidence: 99%

Many-body selective destruction of tunneling in a bosonic junction

Longhi

2012

Phys. Rev. A

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A scheme for selective coherent destruction of tunneling (CDT) of strongly interacting bosons in a symmetric double-well potential, in which an arbitrarily and a priori prescribed number of bosons are allowed to tunnel from one well to the other one is theoretically proposed. As compared to the many-body CDT scheme recently proposed by Gong, Molina, and Hänggi [Phys. Rev. Lett. 103, 133002 (2009)] and based on a fast modulation of the self-interaction strength, the method suggested in this work exploits the traditional method of fast modulation of the energy level unbalance between the two wells by an external ac force.The physics of strongly driven quantum systems has attracted a great interest in different areas of science for many years [1]. The dynamics of quantum systems can be deeply (nonperturbatively) modified by the exposition to strong time-dependent driving fields, leading to novel interesting phenomena. Among others, coherent destruction of tunneling (CDT) [2] and dynamic localization (DL) [3] represent seminal results in the dynamical control of quantum tunneling by strong fields. CDT and DL have been actively studied in several fields of physics and observed in a few recent experiments [4][5][6][7]. In particular, in Ref.[6] a direct observation of single-particle CDT for matter waves in a periodically driven double-well potential was reported. For a single-particle problem, CDT is traditionally realized by direct modulation of the energy unbalance between the two bare levels of the double-well potential [1,2]. This can be achieved by either application of an external sinusoidal force or by sinusoidally shaking the double-well potential [1]. Many-body generalizations of CDT have attracted considerable interest in recent years (see, for instance, Refs. [8-15] and references therein), and interesting novel effects have been predicted in the framework of Bose-Hubbard or mean-field models of many-particle tunneling. In particular, in Ref.[13], Gong, Molina and Hänggi have recently proposed a novel route to CDT by considering a monochromatic fast modulation of the self-interaction strength of a bosonic system in a double-well potential (a bosonic junction [16][17][18]) in the framework of a standard Bose-Hubbard model. In this scheme the modulation can be tuned in such a way that only an arbitrarily, a priori prescribed number of particles are allowed to tunnel from one well to the other one. In this Brief Report we consider the coherent control of quantum tunneling in a bosonic junction by the traditional scheme based on the application of an external sinusoidal force (or by sinusoidally shaking the double-well potential), and show that for strongly interacting bosons the selective many-body CDT result of Ref. [13] can be realized without modulation of the self-interaction energy.The starting point of our analysis is provided by a standard two-mode Bose-Hubbard Hamiltonian, which describes the tunneling dynamics of bosons in a symmetric double-well potential driven by an external ac force. The Hamiltoni...

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“…This two-level boson system can be a paradigm model used to demonstrate quantum dynamics [15] and quantum phase transition (QPT) [16][17][18]. Recently, the process of production of ultracold molecules from ultracold atoms using a sinusoidally oscillating magnetic-field modulation [19] has been discussed, and this method has been successfully applied to produce molecules with high efficiency [11]. These works bring a good opportunity to explore the influence of the periodic modulated field on the QPT in an ultracold atom-molecule boson system.…”

Section: Introductionmentioning

confidence: 99%

Periodic modulation effects on phase transitions in an ultracold atom-molecule system

Zhao

2014

J. Opt. Soc. Am. B

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We investigate the properties of phase transitions in a weakly coupled ultracold atom-molecule boson system based on the phase space analysis approach. We identify the pure molecular and mixed atom-molecule phases of the system by different values of the time average of molecular population. When applying a periodic modulation on the energy detuning, we find that the atom-molecule mixing dynamics can be well controlled. For both high-and low-frequency modulations, it is shown that the transition points can be shifted effectively by choosing parameters of the periodic modulation appropriately. The analytical expressions for the dependence of the transition parameters on the modulation parameters are also obtained for the two cases. In particular, when the modulation with a frequency near the atom-molecule transition frequency is applied, the resonance between the periodic modulation and atom-molecule Rabi oscillation will emerge, which can affect the atom-molecule mixing dynamics dramatically and lead to the complex chaos phenomenon.

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Shapiro-like resonance in ultracold molecule production via an oscillating magnetic field

Cited by 12 publications

References 40 publications

Exact ground-state correlation functions of an atomic-molecular Bose–Einstein condensate model

Exact ground-state correlation functions of an atomic-molecular Bose–Einstein condensate model

Many-body selective destruction of tunneling in a bosonic junction

Periodic modulation effects on phase transitions in an ultracold atom-molecule system

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