Two-Body and Three-Body Contacts for Three Bosons in the Unitary Regime: Analytic Expressions and Limiting Forms

Colussi, V. E.

doi:10.3390/atoms7010019

Cited by 8 publications

(4 citation statements)

References 33 publications

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“…In order to transform Eqs. (B6), (B7) to the bodyframe, the following coordinate transformation is employed [109] The boundary condition Eq. (B4) can be also expressed in the hyperspherical formalism, making use of the descriptive notation σσ ′ , denoting the species B,F or X [see also Table I].…”

Section: Transformation To the Body-framementioning

confidence: 99%

Few-body correlations in two-dimensional Bose and Fermi ultracold mixtures

Bougas,

Mistakidis,

Giannakeas

et al. 2021

Preprint

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Few-body correlations emerging in two-dimensional harmonically trapped mixtures, are comprehensively investigated. The presence of the trap leads to the formation of atom-dimer and trap states, in addition to trimers. The Tan's contacts of these eigenstates are studied for varying interspecies scattering lengths and mass ratio, while corresponding analytical insights are provided within the adiabatic hyperspherical formalism. The two-and three-body correlations of trimer states are substantially enhanced compared to the other eigenstates. The two-body contact of the atom-dimer and trap states features an upper bound regardless of the statistics, treated semi-classically and having an analytical prediction in the limit of large scattering lengths. Such an upper bound is absent in the three-body contact. Interestingly, by tuning the interspecies scattering length the contacts oscillate as the atom-dimer and trap states change character through the existent avoided-crossings in the energy spectra. For thermal gases, a gradual suppression of the involved two-and three-body correlations is evinced manifesting the impact of thermal effects. Moreover, spatial configurations of the distinct eigenstates ranging from localized structures to angular anisotropic patterns are captured. Our results provide valuable insights into the inherent correlation mechanisms of few-body mixtures which can be implemented in recent ultracold atom experiments and will be especially useful for probing the crossover from few-to many-atom systems.

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Section: Transformation To the Body-framementioning

confidence: 99%

Few-body correlations in two-dimensional Bose and Fermi ultracold mixtures

Bougas,

Mistakidis,

Giannakeas

et al. 2021

Preprint

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show abstract

“…As shown in Refs. [39,73,74] trimer states possess more enhanced two-and three-body correlations than those of the BX or FX atom-dimer states and, similarly, the atomdimer contacts are larger than those of the trap states. This hierarchy will also be apparent here as the width of the initial state changes and different eigenstates contribute in the dynamical response.…”

Section: Build-up Of Two-and Three-body Correlationsmentioning

confidence: 96%

“…Having established an understanding regarding the contributing eigenstates for different widths of the initial state, an intriguing question that arises is how these states influence the associated short-range few-body correlations in the course of the evolution. These correlations can be addressed by the experimentally measurable [15,17] two-and three-body contacts [9,11,13,39,45,73]. The latter are defined as coefficients in a high momentum expansion of the σ-species, with σ = B, F or X, one-body density in momentum space…”

Section: Build-up Of Two-and Three-body Correlationsmentioning

confidence: 99%

Dynamical excitation processes and correlations of three-body two-dimensional mixtures

Bougas¹,

Mistakidis²,

Giannakeas³

et al. 2022

Preprint

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A scheme is proposed to dynamically excite distinct eigenstate superpositions in three-body Bose-Fermi mixtures confined in a two-dimensional harmonic trap. The system is initialized in a noninteracting state with a variable spatial extent, and the scattering lengths are subsequently quenched. For spatial widths smaller than the three-body harmonic oscillator length, a superposition of trimers and atom-dimers is dynamically attained, otherwise trap states are predominantly populated. Accordingly, the Tan contacts evince the build-up of short range two-and three-body correlations in the course of the evolution. A larger spatial extent of the initial state leads to a reduction of few-body correlations, endowed however with characteristic peaks at the positions of the avoided-crossings in the energy spectra, thereby signalling the participation of atom-dimers. Our results expose ways to dynamically excite selectively trimers, atom-dimers and trapped few-body states characterized by substantial correlations and likely to be accessible within current experiments.

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“…We compare the probability of three-and twoatom remaining inside the tweezer with and without the correlations due to strong interactions as shown in figure 4. These correlations are results of strong repulsive interactions [29,61], and to reduce these effects and their interaction energy [29], bosons reduce spatial wave-functions overlap [61] and start to behave like fermions [29]. Figure 4 shows the probability events without correlations which decays faster as compared to the events with correlations (g (3) =1 and g (2) <1).…”

Section: Survival Probability In a 3-atom Systemmentioning

confidence: 99%

Collisional dynamics of a few atom Quantum system with tunable interaction

Singh,

Barad,

et al. 2023

Phys. Scr.

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The advent of single-atom trapping in optical tweezers and experimental evolution in control, isolation, and manipulation of cold atoms allows us to manifest the few-body physics and its connection with the many-body systems. In cold atom experiments, the universality of few-body physics is majorly governed by the scattering length which makes it an important parameter in determining theoretically calculated loss rates. Here, we study the 3-body collisional dynamics for Cs atoms using the atom loss model described by Born-Markov approximation. Using the Cs atoms provides us the freedom to vary the scattering length, a, as a function of the magnetic field through Feshbach resonances. We investigate the three-, two-, and one-particle processes in the repulsive interactions regime at different values for a. We find that the probability of one atom remaining in the trap is maximum at B = 26 G corresponding to a = 402.382a0 and has the highest value amongst the probability of zero-, two-, and three-particle remaining in the trap at same magnetic field after the collision. Our findings leads to high fidelity single atom tweezers which have direct application in creating defect free arrays for quantum information processing purposes.

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Two-Body and Three-Body Contacts for Three Bosons in the Unitary Regime: Analytic Expressions and Limiting Forms

Cited by 8 publications

References 33 publications

Few-body correlations in two-dimensional Bose and Fermi ultracold mixtures

Few-body correlations in two-dimensional Bose and Fermi ultracold mixtures

Dynamical excitation processes and correlations of three-body two-dimensional mixtures

Collisional dynamics of a few atom Quantum system with tunable interaction

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