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Communications in Theoretical Physics

Tunneling Dynamics of Dipolar Bosonic System with Periodically Modulated s -wave Scattering

Zi-Fa Yu, Ju-Kui Xue

Published May 1, 2014• 0 citations
Publisher

Abstract

Within the mean-field three-site Bose—Hubbard model, the tunneling dynamics of dipolar bosonic gas with a periodically modulation of s-wave scattering is investigated. The system experiences complex and rich coherent tunneling (CT)-coherent destruction of tunneling (CDT) transitions resulting from the correlated effect among the next-neighbor dipole-dipole interaction, the on-site interaction and the modulated s-wave scattering. In particular, The region of the modulated s-wave scattering for generating CT (CDT) is the widest (narrowest) when the on-site interaction and the next-neighbor dipole-dipole interaction have some correlated values, which are closely related to the tunneling energy and the interaction energy of the system. The correlated values for appearing CDT can be theoretically gained from the tunneling energy and the interaction energy of the system.

DOI
10.1088/0253-6102/61/5/04

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Within the mean-field three-site Bose—Hubbard model, the tunneling dynamics of dipolar bosonic gas with a periodically modulation of s-wave scattering is investigated. The system experiences complex and rich coherent tunneling (CT)-coherent destruction of tunneling (CDT) transitions resulting from the correlated effect among the next-neighbor dipole-dipole interaction, the on-site interaction and the modulated s-wave scattering. In particular, The region of the modulated s-wave scattering for generating CT (CDT) is the widest (narrowest) when the on-site interaction and the next-neighbor dipole-dipole interaction have some correlated values, which are closely related to the tunneling energy and the interaction energy of the system. The correlated values for appearing CDT can be theoretically gained from the tunneling energy and the interaction energy of the system.
The tunneling dynamics of a dipolar bosonic gas with repulsive interactions in a periodically driven triple-well are investigated. Because of the coupled effect of long-range dipole-dipole interaction and the short-range of on-site interaction, the increase of the repulsive atomic interactions can either suppress tunneling or enhance tunneling and, thus, the system experiences rich coherent tunneling(CT)-coherent destruction of tunneling (CDT) transitions. In particular, as the repulsive atomic interactions increase, the system can undergo CT-CDT-CT-CDT or CDT-CT-CDT-CT-CDT transitions. This cannot occur in non-dipolar gas, where the increase of the repulsive atomic interaction only suppress tunneling and the system can only undergo CT-CDT transition. We further present a good understanding of the results with the help of the quasi-energy spectrum of the system.
在吝啬地的三地点的 BoseHubbard 模型以内，偶极的 bosonic 气体与的通道动力学一周期性地，散布的 s 波浪的调整被调查。系统经历通道(CDT ) 的协调破坏转移在下邻居偶极子偶极子相互作用，所在地的相互作用和散布的调制 s 波浪之中源于相关效果的复杂、富有的协调通道(CT ) 。特别地，为产生 CT (CDT ) 散布的调制 s 波浪的区域是最宽(最狭窄) 什么时候所在地的相互作用和下邻居偶极子偶极子相互作用一些相关与通道精力和系统的相互作用精力有关仔细珍视，它是。为出现 CDT 的相关的值能理论上从通道精力和系统的相互作用精力被获得。
The tunneling dynamics of dilute boson gases with three-body interactions in a periodically driven double wells are investigated both theoretically and numerically.In our findings,when the system is with only repulsive twobody interactions or only three-body interactions,the tunneling will be suppressed;while in the case of the coupling between two- and three-body interactions,the tunneling can be either suppressed or enhanced.Particularly,when attractive three-body interactions are twice large as repulsive two-body interactions,CDT occurs at isolated points of driving force,which is similar to the linear case.Considering different interaction,the system can experience different transformation from coherent tunneling to coherent destruction of tunneling(CDT).The quasi-energy of the system as the function of the periodically driving force shows a triangular structure,which provides a deep insight into the tunneling dynamics of the system.
We investigate the coherence of correlated dipolar gas in the presence of disorder within a three-site Bose–Hubbard model. We show that the interplay between the on-site interaction, the inter-site dipole–dipole interactions (DDI) and the disorder exhibits new and interesting coherence characters that cannot take place in a non-dipolar system. The ratio between the on-site interaction and DDI plays a dominant role in the phase coherence. The resonance character of the coherence against both disorder and interactions emerges. DDI can enhance the coherence at certain values of the disorder and on-site interaction. In the coherence region, the enhancement of the coherence by disorder in a dipolar system is more significant than that in a non-dipolar system. In particular, the on-site interaction and DDI together can enhance the coherence even in the clean dipolar system (i.e. a dipolar system without disorder). However, without the on-site interaction, disorder, DDI or both together suppress the coherence. Furthermore, the relationship between the coherence and the energy gap and the compressibility of the system is also discussed.
The selective coherent destruction of tunneling (CDT) of ultracold Bose gas with three-particle interactions in a modulated double-well potential is discussed. It is shown that the effects of two- and three-particle interactions on the dynamics of the selective CDT are strongly coupled and the three-particle interactions significantly modify the selective CDT. For weak three-particle interactions, an upper bound of the boson number for realizing the selective CDT exists and the region of boson number for realizing the selective CDT is enlarged (reduced) with repulsive (attractive) three-particle interactions. For strong three-particle interactions, the boson number in the system for realizing the selective CDT not only has an upper bound, but also has a lower bound. The results are confirmed by numerical simulations.
Abstract The tunneling dynamics of dilute boson gases with three-body interactions in a periodically driven double wells are investigated both theoretically and numerically. In our findings, when the system is with only repulsive two-body interactions or only three-body interactions, the tunneling will be suppressed; while in the case of the coupling between two- and three-body interactions, the tunneling can be either suppressed or enhanced. Particularly, when attractive three-body interactions are twice large as repulsive two-body interactions, CDT occurs at isolated points of driving force, which is similar to the linear case. Considering different interaction, the system can experience different transformation from coherent tunneling to coherent destruction of tunneling (CDT). The quasi-energy of the system as the function of the periodically driving force shows a triangular structure, which provides a deep insight into the tunneling dynamics of the system.