Regular and chaotic behavior of collective atomic motion in two-component Bose-Einstein condensates

Syu, Wei-Can; Lee, Da-Shin; Lin, Chi-Yong

doi:10.1103/physreva.101.063622

Cited by 8 publications

(3 citation statements)

References 45 publications

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“…These irregularities may be a precursor of the chaos typical for nonlinear oscillations [32,33], which, in general, can occur in Bose-Einstein condensates [34] (see, e.g. [35] for recent results).…”

Section: Coupled Oscillations and Shape Evolution For Different Self-...mentioning

confidence: 99%

Coupled dynamics of polaron and Bose–Einstein condensate in a parabolic potential

Mardonov¹,

Sherman²

2020

Phys. Scr.

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We study various regimes of coherent coupled motion of a polaron and one-dimensional Bose–Einstein condensate in a harmonic potential. By using qualitative analysis, perturbation theory and direct numerical solution of the Gross–Pitaevskii equation, we show that the entire dynamics is strongly nonlinear and critically depends on the sign of the self-interaction in the condensate and the sign of the interaction between the polaron-forming embedded particle and the condensate. Strongly mutually related evolution of the condensate shape, its center of mass position, and polaron coordinate is studied for coupled nonlinear polaron-condensate oscillations and transmission/reflection of the polaron through/by the condensate.

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Section: Coupled Oscillations and Shape Evolution For Different Self-...mentioning

confidence: 99%

Coupled dynamics of polaron and Bose–Einstein condensate in a parabolic potential

Mardonov¹,

Sherman²

2020

Phys. Scr.

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“…In fact, this class of the two-component BEC systems with the Rabi interaction exhibits two types of excitations on condensates: the gapless excitations due to the "in phase" oscillations between two respective density waves of the binary system and the gapped excitation stemming from the "out-of-phase" oscillations of the density waves in the presence of the Rabi transition, which are respectively analogous of the Goldstone modes and the Higgs modes in particle physics. In addition, in [18] the dynamics of collective atomic motion by choosing tunable scattering lengths through Feshbach resonances has been studied with the introduced effective parameter characterizing the miscible or immiscible regime of binary condensates and their stabilities.…”

Section: Introductionmentioning

confidence: 99%

Analogous Hawking radiation and quantum entanglement in two-component Bose-Einstein condensates: the gapped excitations

Syu,

Lee,

Lin

2022

Preprint

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The condensates of cold atoms at zero temperature in the tunable binary Bose-Einstein condensate system are studied with the Rabi transition between atomic hyperfine states where the system can be represented by a coupled two-field model of gapless excitations and gapped excitations. We set up the configuration of the supersonic and subsonic regimes with the acoustic horizon between them in the elongated two-component Bose-Einstein condensates, trying to mimic Hawking radiations, in particular due to the gapped excitations. The simplified step-like sound speed change is adopted for the subsonic-supersonic transition so that the model can be analytically treatable. The effective energy gap term in the dispersion relation of the gapped excitations introduces the threshold frequency ω min in the subsonic regime, below which the propagating modes do not exist. Thus, the particle spectrum of the Hawking modes significantly deviates from that of the gapless cases near the threshold frequency due to the modified grey-body factor, which vanishes as the mode frequency is below ω min . The influence from the gapped excitations to the quantum entanglement of the Hawking mode and its partner of the gapless excitations is also studied according to the Peres-Horodecki-Simon (PHS) criterion. It is found that the presence of the gapped excitations will deteriorate the quantumness of the pair modes of the gapless excitations when the frequency of the pair modes in particular is around ω ∼ ω min . On top of that, when the coupling constant between the gapless and gapped excitations becomes large enough, the huge particle density of the gapped excitations in the small ω regime will significantly disentangle the pair modes of the gapless excitations. The detailed time-dependent PHS criterion will be discussed.

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“…The critical condition for which the interplay of tunneling parameter, boson–boson interactions and boson numbers of the two components links demixing effect and spectral collapse has been analytically investigated in the double-well system [ 23 , 24 ] in the case of both repulsive and attractive components, while the role of inhomogeneity on demixing, due to the trapping effect, has been evidenced by using multiconfigurational time-dependent Hartree method [ 25 ]. Purely quantum indicators, such as entanglement and residual entropies [ 26 ], and a nontrivial geometric phase [ 27 ] have further confirmed the critical behavior distinguishing spatial separation, while the impact of a chaotic dynamical behavior on the robustness of spatial separation has been explored in both lattice structures [ 28 ] and in a harmonic trap [ 29 ].…”

Section: Introductionmentioning

confidence: 99%

Ground-State Properties and Phase Separation of Binary Mixtures in Mesoscopic Ring Lattices

Penna

Contestabile

Richaud

2021

Entropy

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We investigated the spatial phase separation of the two components forming a bosonic mixture distributed in a four-well lattice with a ring geometry. We studied the ground state of this system, described by means of a binary Bose–Hubbard Hamiltonian, by implementing a well-known coherent-state picture which allowed us to find the semi-classical equations determining the distribution of boson components in the ring lattice. Their fully analytic solutions, in the limit of large boson numbers, provide the boson populations at each well as a function of the interspecies interaction and of other significant model parameters, while allowing to reconstruct the non-trivial architecture of the ground-state four-well phase diagram. The comparison with the L-well (L=2,3) phase diagrams highlights how increasing the number of wells considerably modifies the phase diagram structure and the transition mechanism from the full-mixing to the full-demixing phase controlled by the interspecies interaction. Despite the fact that the phase diagrams for L=2,3,4 share various general properties, we show that, unlike attractive binary mixtures, repulsive mixtures do not feature a transition mechanism which can be extended to an arbitrary lattice of size L.

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Regular and chaotic behavior of collective atomic motion in two-component Bose-Einstein condensates

Cited by 8 publications

References 45 publications

Coupled dynamics of polaron and Bose–Einstein condensate in a parabolic potential

Coupled dynamics of polaron and Bose–Einstein condensate in a parabolic potential

Analogous Hawking radiation and quantum entanglement in two-component Bose-Einstein condensates: the gapped excitations

Ground-State Properties and Phase Separation of Binary Mixtures in Mesoscopic Ring Lattices

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