Nonequilibrium dynamics induced by miscible–immiscible transition in binary Bose–Einstein condensates

Eto, Yujiro; Takahashi, Masahiro; Kunimi, Masaya; Saito, Hiroki; Hirano, Takuya

doi:10.1088/1367-2630/18/7/073029

Cited by 22 publications

(14 citation statements)

References 46 publications

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“…Thus, the interatomic interaction effectively oscillates in time due to the Rabi oscillation unless g 11 = g 22 = g 12 . Such an effective modulation of the interaction can be used to control the dynamics of BECs [14,15].…”

Section: Introductionmentioning

confidence: 99%

Faraday patterns generated by Rabi oscillation in a binary Bose-Einstein condensate

et al. 2019

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The interaction between atoms in a two-component Bose-Einstein condensate (BEC) is effectively modulated by the Rabi oscillation. This periodic modulation of the effective interaction is shown to generate Faraday patterns through parametric resonance. We show that there are multiple resonances arising from the density and spin waves in a two-component BEC, and investigate the interplay between the Faraday-pattern formation and the phase separation.

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Section: Introductionmentioning

confidence: 99%

Faraday patterns generated by Rabi oscillation in a binary Bose-Einstein condensate

et al. 2019

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“…and we set l min = ξ. For making the segregation dynamics of binary BECs, the coupling constants are controlled by changing the oblateness of the trapped condensates, using techniques of magnetic Feshbach resonance [25,26] and dressed states [27,28], and changing the internal states of atoms [29]. Since spinor BECs can be described effectively by the same hydrodynamics, the system is also available for examining the scaling behaviors, demonstrated here, in cold atom systems.…”

Section: A Segregation Of Binary Condensatesmentioning

confidence: 99%

Domain-area distribution anomaly in segregating multicomponent superfluids

Takeuchi

2018

Phys. Rev. A

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The domain-area distribution in the phase transition dynamics of Z2 symmetry breaking is studied theoretically and numerically for segregating binary Bose-Einstein condensates in quasi-twodimensional systems. Due to the dynamic scaling law of the phase ordering kinetics, the domain-area distribution is described by a universal function of the domain area, rescaled by the mean distance between domain walls. The scaling theory for general coarsening dynamics in two dimensions hypothesizes that the distribution during the coarsening dynamics has a hierarchy with the two scaling regimes, the microscopic and macroscopic regimes with distinct power-law exponents. The power law in the macroscopic regime, where the domain size is larger than the mean distance, is universally represented with the Fisher's exponent of the percolation theory in two dimensions. On the other hand, the power-law exponent in the microscopic regime is sensitive to the microscopic dynamics of the system. This conjecture is confirmed by large-scale numerical simulations of the coupled Gross-Pitaevskii equation for binary condensates. In the numerical experiments of the superfluid system, the exponent in the microscopic regime anomalously reaches to its theoretical upper limit of the general scaling theory. The anomaly comes from the quantum-fluid effect in the presence of circular vortex sheets, described by the hydrodynamic approximation neglecting the fluid compressibility. It is also found that the distribution of superfluid circulation along vortex sheets obeys a dynamic scaling law with different power-law exponents in the two regimes. An analogy to quantum turbulence on the hierarchy of vorticity distribution and the applicability to chiral superfluid 3 He in a slab are also discussed.

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“…In particular, it is experimentally possible to shape the geometry of the trap [1], to reduce the dimensionality of the relevant motion [2,3], to tune the inter-particle interactions [4][5][6][7][8] and prepare samples of only a few atoms [9,10]. Numerous experiments have been conducted with different hyperfine states [11][12][13][14][15][16][17][18][19][20][21][22][23][24], different elements [25][26][27][28][29][30][31][32][33][34][35][36][37][38] or different isotopes [39,40] to reveal how the interplay between two condensates impacts their stationary properties and non-equilibrium dynamics. Highlights of these explorations include among others the phase separation between the components and symmetry-breaking phenomena [12,17,36,37,39], the observation of Efimov physics [38] ...…”

Section: Introductionmentioning

confidence: 99%

Phase separation of a Bose-Bose mixture: impact of the trap and particle number imbalance

Pyzh,

Schmelcher

2020

Preprint

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We explore a few-body mixture of two bosonic species confined in quasi-one-dimensional parabolic traps of different length scales. The ground state phase diagrams in the three-dimensional parameter space spanned by the harmonic length scale ratio, inter-species coupling strength and particle number ratio are investigated. As a first case study we use the mean-field ansatz (MF) to perform a detailed analysis of the separation mechanism. It allows us to derive a simple and intuitive rule predicting which of the immiscible phases is energetically more favorable at the miscible-immiscible phase boundary. We estimate the critical coupling strength for the miscible-immiscible transition and perform a comparison to correlated many-body results obtained by means of the Multi-Layer Multi-Configuration Time Dependent Hartree method for bosonic mixtures (ML-X). At a critical ratio of the trap frequencies, determined solely by the particle number ratio, the deviations between MF and ML-X are very pronounced and can be attributed to a high degree of entanglement between the components. As a result, we evidence the breakdown of the effective one-body picture. Additionally, when many-body correlations play a substantial role, the one-body density is in general not sufficient for deciding upon the phase at hand which we demonstrate exemplarily.

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Nonequilibrium dynamics induced by miscible–immiscible transition in binary Bose–Einstein condensates

Cited by 22 publications

References 46 publications

Faraday patterns generated by Rabi oscillation in a binary Bose-Einstein condensate

Faraday patterns generated by Rabi oscillation in a binary Bose-Einstein condensate

Domain-area distribution anomaly in segregating multicomponent superfluids

Phase separation of a Bose-Bose mixture: impact of the trap and particle number imbalance

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