Second-order tunneling of two interacting bosons in a driven triple well

Zhou, Zheng; Wang, Hai; Xie, Qing; Tan, Jintao

doi:10.1088/1367-2630/15/12/123020

Cited by 19 publications

(18 citation statements)

References 59 publications

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“…In the inset, we show that the absolute value of maximum deviation between the analytical results (circles) and the numerical ones (solid curves) is less than 0.05. Such a deviation can be decreased by analytically taking into account the second-order effect of quantum tunneling 50 .…”

Section: Resultsmentioning

confidence: 99%

Coherent control of quasi-degenerate stationary-like states via multiple resonances

Luo

Kuo

Zou

et al. 2017

Sci Rep

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We use three bosons held in a depth-tilt combined-modulated double-well to study coherent control of quantum transitions between quasi-degenerate stationary-like states (QDSLSs) with the same quasienergy. Within the high-frequency approximation and for multiple-resonance conditions, we analytically obtain the different QDSLSs including the maximal bipartite entangled states, which enable us to manipulate the transitions between QDSLSs without the observable multiphoton absorption and to simulate a two-qubit system with the considered bosons. The analytical results are confirmed numerically and good agreement is shown. The quantum transitions between QDSLSs can be observed and controlled by adjusting the initial and the final atomic distributions in the currently proposed experimental setup, and possess potential applications in qubit control based on the bipartite entangled states and in engineering quantum dynamics for quantum information processing.

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Section: Resultsmentioning

confidence: 99%

Coherent control of quasi-degenerate stationary-like states via multiple resonances

Luo

Kuo

Zou

et al. 2017

Sci Rep

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“…We divide the collapse points into two series, which correspond to the roots of equations  ε ω = values. The small differences between the analytical results (circles) and the numerical curves can be eliminated by taking into account the secondorder effects of tunneling [44,45].…”

Section: Quasienergy Bands and Floquet Statesmentioning

confidence: 99%

Transparent control of three-body selective destruction of tunneling via unusual states

Luo¹,

Lu²,

Tan³

et al. 2014

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

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We study transparent control of quantum tunneling via unusual analytical solutions for three bosons held in a driven double-well. Under high-frequency approximation, we analytically obtain the fine band structure and general non-Floquet state. At some collapse points of the quasi-energy spectra, the latter becomes the unusual special states. Based on the analytical results and their numerical correspondences, we clearly reveal the mechanism of coherent tunneling and suggest a scheme to transparently control the tunneling of three bosons from one well to another. The results can be observed with the current experimental capability (Chen et al 2011 Phys. Rev. Lett. 107 210405)

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“…Previous semiclassical analyses of three coupled Bose-Einstein condensates have revealed a dynamical transition from self trapping to delocalization [15,16]. The quantum dynamics in triple well traps have since been extensively investigated [17][18][19][20][21][22][23][24][25][26][27][28][29][30]. When quantum gases, such as chromium or dysprosium, are loaded into triple well potentials [31], dipolar interactions need to be taken into account [31] and they lead to various ground-state phases [31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Quantum-classical correspondence of a system of interacting bosons in a triple-well potential

Castro,

Chavez-Carlos,

Roditi

et al. 2021

Preprint

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We study the quantum-classical correspondence of an experimentally accessible system of interacting bosons in a tilted triple-well potential. With the semiclassical analysis, we get a better understanding of the different phases of the quantum system and how they could be used for quantum information science. In the integrable limits, our analysis of the stationary points of the semiclassical Hamiltonian reveals critical points associated with second-order quantum phase transitions. In the nonintegrable domain, the system exhibits crossovers. Depending on the parameters and quantities, the quantum-classical correspondence for the lowest energy state holds even for very few bosons. We discuss how this state in the region of repulsive (attractive) interaction of the nonintegrable model could be explored for quantum information storage (quantum sensing).

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Second-order tunneling of two interacting bosons in a driven triple well

Cited by 19 publications

References 59 publications

Coherent control of quasi-degenerate stationary-like states via multiple resonances

Coherent control of quasi-degenerate stationary-like states via multiple resonances

Transparent control of three-body selective destruction of tunneling via unusual states

Quantum-classical correspondence of a system of interacting bosons in a triple-well potential

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