Self-stabilized Bose polarons

Schmidt, Richard; Enss, Tilman

doi:10.48550/arxiv.2102.13616

Cited by 12 publications

(19 citation statements)

References 53 publications

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“…We then discuss why the Yukawa potential is inadequate and also outline why some of the standard methods used to go beyond the Fröhlich model in the single impurity case do not generalize in a straightforward manner. We then show how those problems can be remedied in a conceptually simple and intuitive way by accounting for boson-boson interaction at the meanfield level, in line with previous treatments of bipolarons in 1D [40] and single polarons [34,[41][42][43][44][45][46][47]. This is done by applying the Lee-Low-Pines transformation [48] and transforming to the center of mass coordinates for the two impurities.…”

Section: Introductionmentioning

confidence: 74%

“…Although the extended Fröhlich model has been applied with considerable success to dynamical phenomena and describing repulsive and weakly attractive interactions [28][29][30][31][32][33], it too possesses some significant shortcomings. For instance, in [34] it was shown that an instability can form due to the emergence of a bound state. The extended Fröhlich model predicts that an infinite number of bosons populates this energetically lowlying bound state which is typically unphysical.…”

Section: Introductionmentioning

confidence: 99%

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The effect of boson-boson interaction on the Bipolaron formation

Jäger¹,

Barnett²

2021

Preprint

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Impurities immersed into a surrounding ultra-cold Bose gas experience interactions mediated by the surrounding many-body environment. If one focuses on two impurities that are sufficiently close to each other, they can form a bipolaron pair. Here, we discuss how the standard methods based on linearizing the condensate field lead to results only valid in the weak coupling regime and for sufficiently large impurity separations. We show how those shortcomings can be remedied within the Born-Oppenheimer approximation by accounting for boson-boson interactions already on the mean-field level.

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Section: Introductionmentioning

confidence: 74%

Section: Introductionmentioning

confidence: 99%

The effect of boson-boson interaction on the Bipolaron formation

Jäger¹,

Barnett²

2021

Preprint

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show abstract

“…Accordingly, these systems have recently been a topic of intense theoretical study in the ultracold community especially regarding their stationary properties . Lately, it has been argued that the ground state of the Bose polaron can be well-described in terms of a simple Gross-Pitaevskii mean-field type variational approach [55][56][57][58][59][60][61][62][63], herewith referred to as the Gross Ansatz (GA) 1 . The latter neglects all correlations except for the two-body bath-impurity ones.…”

Section: Introductionmentioning

confidence: 99%

Pattern formation in one-dimensional polaron systems and temporal orthogonality catastrophe

Koutentakis,

Mistakidis,

Schmelcher

2021

Preprint

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Recent studies have demonstrated that higher than two-body bath-impurity correlations are not important for quantitatively describing the ground state of the Bose polaron. Motivated by the above, we employ the so-called Gross Ansatz (GA) approach to unravel the stationary and dynamical properties of the homogeneous one-dimensional Bose-polaron for different impurity momenta and bath-impurity couplings. We explicate that the character of the equilibrium state crossovers from the quasi-particle Bose polaron regime to the collective-excitation stationary dark-bright soliton for varying impurity momentum and interactions. Following an interspecies interaction quench the temporal orthogonality catastrophe is identified, provided that bath-impurity interactions are sufficiently stronger than the intraspecies bath ones, thus generalizing the results of the confined case. This catastrophe originates from the formation of dispersive shock wave structures associated with the zero-range character of the bath-impurity potential. For initially moving impurities, a momentum transfer process from the impurity to the dispersive shock waves via the exerted drag force is demonstrated, resulting in a final polaronic state with reduced velocity. Our results clearly demonstrate the crucial role of non-linear excitations for determining the behavior of the onedimensional Bose polaron.

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“…It is important to emphasize that beyond weak coupling between the impurity and the gas, the physics of the Bose polaron is not accurately captured by the Bogoliubov-Fröhlich Hamiltonian (1). At stronger interactions the Bogoliubov approximation appears to suffer from an instability for attractive polarons [19,20] which was explored in great detail in a more recent study [21]. In addition, inclusion of higher order interactions on top of the lowest-order Fröhlich coupling term have been considered and were shown to be of importance [19,20,22,23].…”

Section: Introductionmentioning

confidence: 99%

General memory kernels and further corrections to the variational path integral approach for the Bogoliubov-Fröhlich Hamiltonian

Ichmoukhamedov,

Tempere

2021

Preprint

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Self-stabilized Bose polarons

Cited by 12 publications

References 53 publications

The effect of boson-boson interaction on the Bipolaron formation

The effect of boson-boson interaction on the Bipolaron formation

Pattern formation in one-dimensional polaron systems and temporal orthogonality catastrophe

General memory kernels and further corrections to the variational path integral approach for the Bogoliubov-Fröhlich Hamiltonian

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