Few-body physics in resonantly interacting ultracold quantum gases

D'Incao, Jose

doi:10.1088/1361-6455/aaa116

Cited by 96 publications

(153 citation statements)

References 278 publications

(1,177 reference statements)

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“…Therefore, we conclude that the potentials V (1) sc and V (2) sc are too shallow to obey the van der Waals universality in Re(D). Furthermore, we find a sharp minimum in −Im(D) for V (1) sc at a/r vdW = 0.739 which is likely to be caused by destructive interference between competing pathways for three-body recombination [17]. Figure S3: Three-body scattering hypervolume D corresponding to soft-core van der Waals potentials supporting one, two and three s-wave dimer states as a function of the two-body scattering length a.…”

Section: Additional Results For the Soft-core Van Der Waals Potementioning

confidence: 98%

van der Waals Universality near a Quantum Tricritical Point

et al. 2020

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We study the three-body scattering hypervolume D of atoms whose scattering length a is on the order of or smaller than the typical range r vdW of the van der Waals attraction. We find that the real part of D behaves universally in this weakly interacting regime (|a|/r vdW 1) in the absence of trimer resonances. This universality originates from hard-sphere-like collisions that dominate elastic three-body scattering. We use this result to make quantitative predictions for the thermodynamics and elementary excitations of an atomic Bose-Einstein condensate (BEC) in the vicinity of a quantum tricritical point, including quantum droplets stabilized by effective three-body interactions.

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Section: Additional Results For the Soft-core Van Der Waals Potementioning

confidence: 98%

van der Waals Universality near a Quantum Tricritical Point

et al. 2020

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“…For strongly interacting Bose gases, there is an additional complication due to the existence of the threebody Efimov effect. At unitarity (a → ∞) an infinity of three-body trimers emerges, which strongly alters the scattering observables at ultracold energies [6][7][8][9]. Here, universal relations between few-body physics and macroscopic observables also involve the three-body contact density C 3 [10,11], central to the many-body theory, whose properties are not yet theoretically known for the degenerate Bose gas in the unitary regime.…”

Section: Dynamics Of Three-body Correlations In Quenched Unitary Bosementioning

confidence: 99%

Dynamics of Three-Body Correlations in Quenched Unitary Bose Gases

2018

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We investigate dynamical three-body correlations in the Bose gas during the earliest stages of evolution after a quench to the unitary regime. The development of few-body correlations is theoretically observed by determining the two-and three-body contacts. We find that the growth of three-body correlations is gradual compared to two-body correlations. The three-body contact oscillates coherently, and we identify this as a signature of Efimov trimers. We show that the growth of three-body correlations depends nontrivially on parameters derived from both the density and Efimov physics. These results demonstrate the violation of scaling invariance of unitary bosonic systems via the appearance of log-periodic modulation of three-body correlations.

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“…These developments have stimulated much recent theoretical and experimental progress, as reviewed in Refs. [11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Few-body states of bosons interacting with a heavy quantum impurity

et al. 2018

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We consider the problem of a fixed impurity coupled to a small number N of non-interacting bosons. We focus on impurity-boson interactions that are mediated by a closed-channel molecule, as is the case for tuneable interatomic interactions in cold-atom experiments. We show that this two-channel model can be mapped to a boson model with effective boson-boson repulsion, which enables us to solve the three-body (N = 2) problem analytically and determine the trimer energy for impurity-boson scattering lengths a > 0. By analysing the atom-dimer scattering amplitude, we find a critical scattering length a * at which the atom-dimer scattering length diverges and the trimer merges into the dimer continuum. We furthermore calculate the tetramer energy exactly for a > 0 and show that the tetramer also merges with the continuum at a * . Indeed, since the critical point a * formally resembles the unitary point 1/a = 0, we find that all higher-body bound states (involving the impurity and N > 1 bosons) emerge and disappear at both of these points. We show that the behavior at these "multi-body resonances" is universal, since it occurs for any model with an effective three-body repulsion involving the impurity. Thus, we see that the fixed-impurity problem is strongly affected by a three-body parameter even in the absence of the Efimov effect. arXiv:1807.09992v1 [cond-mat.quant-gas]

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Few-body physics in resonantly interacting ultracold quantum gases

Cited by 96 publications

References 278 publications

van der Waals Universality near a Quantum Tricritical Point

van der Waals Universality near a Quantum Tricritical Point

Dynamics of Three-Body Correlations in Quenched Unitary Bose Gases

Few-body states of bosons interacting with a heavy quantum impurity

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