Harmonically trapped Bose–Bose mixtures: a quantum Monte Carlo study

Cikojević, Viktor; Markić, Leandra Vranješ; Boronat, J.

doi:10.1088/1367-2630/aad6cc

Cited by 20 publications

(19 citation statements)

References 30 publications

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“…Nevertheless, since in a single harmonic trap different phase separation mechanisms (e.g. hemispheric-like or spheric-shell-like) can be triggered by different potential and interaction strengths 47 , we expect the interplay of these parameters to play an even more crucial role in multiple-trap systems. Due to its remarkable complexity, the analysis of this phenomenology will be discussed in a separate work.…”

Section: /14mentioning

confidence: 99%

The mixing-demixing phase diagram of ultracold heteronuclear mixtures in a ring trimer

Richaud

Zenesini

Penna

2019

Sci Rep

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We derive the complete mixing-demixing phase-diagram relevant to a bosonic binary mixture confined in a ring trimer and modeled within the Bose-Hubbard picture. The mixing properties of the two quantum fluids, which are shown to be strongly affected by the fragmented character of the confining potential, are evaluated by means of a specific indicator imported from Statistical Thermodynamics and are shown to depend only on two effective parameters incorporating the asymmetry between the heteronuclear species. To closely match realistic experimental conditions, our study is extended also beyond the pointlike approximation of potential wells by describing the systems in terms of two coupled Gross-Pitaevskii equations. The resulting mean-field analysis confirms the rich scenario of mixing-demixing transitions of the mixture and also constitutes an effective springboard towards a viable experimental realization. We additionally propose an experimental realization based on a realistic optical-tweezers system and on the bosonic mixture 23 Na + 39 K, thanks to the large tunability of their intra- and inter-species scattering lengths.

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Section: /14mentioning

confidence: 99%

The mixing-demixing phase diagram of ultracold heteronuclear mixtures in a ring trimer

Richaud

Zenesini

Penna

2019

Sci Rep

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“…Apart from these, further general extensions and developments of both the LR theory itself as well as of its numerical implementation are worth of additional investigation. With regard to theoretical developments, an extension of LR-MCTDHB to BEC mixtures, i.e., compound systems of different types of bosons, is highly desirable as their popularity has substantially grown [208,184,209,210,211,212,213]. The underlying MCTDHB theory for bosonic mixtures, also including the possibility of internal degrees of freedom, has been formulated [53,70,71], but a linear-response theory is completely missing.…”

Section: Discussionmentioning

confidence: 99%

Many-body effects in the excitations and dynamics of trapped Bose-Einstein condensates

Alon¹,

Beinke²,

Cederbaum³

2021

Preprint

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This review explores the dynamics and the low-energy excitation spectra of Bose-Einstein condensates (BECs) of interacting bosons in external potential traps putting particular emphasis on the emerging manybody effects beyond mean-field descriptions. To do so, methods have to be used that, in principle, can provide numerically exact results for both the dynamics and the excitation spectra in a systematic manner. Numerically exact results for the dynamics are presented employing the well-established multicongurational time-dependent Hartree for bosons (MCTDHB) method. The respective excitation spectra are calculated utilizing the more recently introduced linear-response theory atop it (LR-MCTDHB). The latter theory gives rise to an, in general, non-hermitian eigenvalue problem. The theory and its newly developed implementation are described in detail and benchmarked towards the exactly-solvable harmonic-interaction model. Several applications to BECs in one-and two-dimensional potential traps are discussed. With respect to dynamics, it is shown that both the out-of-equilibrium tunneling dynamics and the dynamics of trapped vortices are of many-body nature. Furthermore, many-body effects in the excitation spectra are presented for BECs in different trap geometries. It is demonstrated that even for essentially-condensed systems, the spectrum of the lowest-in-energy excitations computed at the many-body level can differ substantially from the standard mean-field description. In general, it is shown that bosons carrying angular momentum are more sensitive to many-body effects than bosons without. These effects are present in both the dynamics and the excitation spectrum.

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“…The shift at the miscible-immiscible critical point has been obtained in the case of mixtures composed of distinct hyperfine states of the same atomic species [29][30][31]. In the broader scenario of unbalanced mixtures of different atomic species, the atom number ratio [32], the mass imbalance and the difference in trapping configurations between the components were also shown to affect the boundary of the miscibility phase transition [33][34][35][36]. The contribution of gravity, relevant for all real experiments due to the induced gravitational sag [37,38], is rarely taken into account in numerical simulations.…”

Section: Introductionmentioning

confidence: 91%

Miscibility Regimes in a 23Na–39K Quantum Mixture

et al. 2021

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The effects of miscibility in interacting two-component classical fluids are relevant in a broad range of daily applications. When considering quantum systems, two-component Bose–Einstein condensates provide a well-controlled platform where the miscible–immiscible phase transition can be completely characterized. In homogeneous systems, this phase transition is governed only by the competition between intra- and inter-species interactions. However, in more conventional experiments dealing with trapped gases, the pressure of the confinement increases the role of the kinetic energy and makes the system more miscible. In the most general case, the miscibility phase diagram of unbalanced mixtures of different atomic species is strongly modified by the atom number ratio and the different gravitational sags. Here, we numerically investigate the ground-state of a 23Na–39K quantum mixture for different interaction strengths and atom number ratios considering realistic experimental parameters. Defining the spatial overlap between the resulting atomic clouds, we construct the phase diagram of the miscibility transition which could be directly measured in real experiments.

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Harmonically trapped Bose–Bose mixtures: a quantum Monte Carlo study

Cited by 20 publications

References 30 publications

The mixing-demixing phase diagram of ultracold heteronuclear mixtures in a ring trimer

The mixing-demixing phase diagram of ultracold heteronuclear mixtures in a ring trimer

Many-body effects in the excitations and dynamics of trapped Bose-Einstein condensates

Miscibility Regimes in a 23Na–39K Quantum Mixture

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