Stability and dynamical property for two-species ultracold atoms in double wells

Xu, Xiaoqiang; Lu, Li-Hua; Li, Youquan

doi:10.1103/physreva.78.043609

Cited by 44 publications

(28 citation statements)

References 22 publications

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“…Recently, this has been considered in [19,20] for the case of a bosonic binary mixtures trapped in a double well potential, for which a coupled pendula system of ODE for the temporal evolution of the relative population and relative phase of each component, was derived. Using this reduced system, the authors of [20] have predicted the analogous of the macroscopic quantum self-trapping phenomenon for a single bosonic component [4].…”

Section: Introductionmentioning

confidence: 99%

Atomic Josephson junction with two bosonic species

Mazzarella

Moratti

Salasnich

et al. 2009

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

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Abstract. We study an atomic Josephson junction (AJJ) in presence of two interacting Bose-Einstein condensates (BECs) confined in a double well trap. We assume that bosons of different species interact with each other. The macroscopic wave functions of the two components obey to a system of two 3D coupled GrossPitaevskii equations (GPE). We write the Lagrangian of the system, and from this we derive a system of coupled ordinary differential equations (ODE), for which the coupled pendula represent the mechanic analogous. These differential equations control the dynamical behavior of the fractional imbalance and of the relative phase of each bosonic component. We perform the stability analysis around the points which preserve the symmetry and get an analytical formula for the oscillation frequency around the stable points. Such a formula could be used as an indirect measure of the inter-species s-wave scattering length. We also study the oscillations of each fractional imbalance around zero and non zero -the macroscopic quantum self-trapping (MQST) -time averaged values. For different values of the inter-species interaction amplitude, we carry out this study both by directly solving the two GPE and by solving the corresponding coupled pendula equations. We show that, under certain conditions, the predictions of these two approaches are in good agreement. Moreover, we calculate the crossover value of the inter-species interaction amplitude which signs the onset of MQST.

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Section: Introductionmentioning

confidence: 99%

Atomic Josephson junction with two bosonic species

Mazzarella

Moratti

Salasnich

et al. 2009

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

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“…The length of v tot is a constant of motion, which is a consequence of the isospecificity of the dynamics, that is, of U ψ,ψ = U φ,ψ = U φ,φ and φ = ψ . Note that while the dynamics of the total population imbalance is integrable, this is not necessarily the case for the dynamics of the individual species, that is, the difference between the imbalances of the two species, v rel = v ψ − v φ , eludes a closed solution [21]. When the interactions are not isospecific (r = 1,…”

Section: A Equations Of Motion and Conserved Quantitiesmentioning

confidence: 99%

“…Similarly to the triple-well system [36][37][38], chaos can then emerge in the two-species double-well system [15,21]. The dynamics of the mixture can be computed in two different ways.…”

Section: A Equations Of Motion and Conserved Quantitiesmentioning

confidence: 99%

“…(22) relies on the exact form of the two-mode differential equations, Eqs. (8) and (21). A more general way to understand the dynamics of z tot , which will also be applicable in larger systems, can be found by considering the emerging total Bloch vector.…”

Section: Effective Particle Numbermentioning

confidence: 99%

“…When a bi-component BEC is loaded into the double-well [15][16][17][18][19][20], new features emerge. For example, chaos [15,21], phase separation transitions [22] as well as ferromagnetic behavior [23] can arise, relying on the distinct inter-and intraspecies interactions in the system. If, on the other hand, all intra-and interspecies interactions are equal and all external potentials are species independent, adding a second species to an initially homo-specific system (or, equivalently, populating a second internal state) does, at first sight, not appear to change the system dynamics: The new species does not feature any distinct property in comparison to the present one.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Dynamical effects of exchange symmetry breaking in mixtures of interacting bosons

2012

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In a double-well potential, a Bose-Einstein condensate exhibits Josephson oscillations or self-trapping, depending on its initial preparation and on the ratio of interparticle interaction to interwell tunneling. Here, we elucidate the role of the exchange symmetry for the dynamics with a mixture of two distinguishable species with identical physical properties, that is, which are governed by an isospecific interaction and external potential. In the mean-field limit, the spatial population imbalance of the mixture can be described by the dynamics of a single species in an effective potential with modified properties or, equivalently, with an effective total particle number. The oscillation behavior can be tuned by populating the second species while maintaining the spatial population imbalance and all other parameters constant. In the corresponding many-body approach, the single-species description approximates the full counting statistics well also outside the realm of spin-coherent states. The method is extended to general Bose-Hubbard systems and to their classical mean-field limits, which suggests an effective single-species description of multicomponent Bose gases with weakly an-isospecific interactions.

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A Dynamical Phase Transition of Binary Species BECs Mixtures in a Double Well Potential

Tian

Qiu

2016

Int J Theor Phys

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Stability and dynamical property for two-species ultracold atoms in double wells

Cited by 44 publications

References 22 publications

Atomic Josephson junction with two bosonic species

Atomic Josephson junction with two bosonic species

Dynamical effects of exchange symmetry breaking in mixtures of interacting bosons

A Dynamical Phase Transition of Binary Species BECs Mixtures in a Double Well Potential

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