Visualizing the Efimov Correlation in Bose Polarons

Sun, Mingyuan; Zhai, Hui; Cui, Xiaoling

doi:10.1103/physrevlett.119.013401

Cited by 81 publications

(89 citation statements)

References 73 publications

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“…We note that the physics of the Rydberg oligomer states is different from that of Efimov states in the Bose polaron problem [15,[17][18][19]. While Efimov states are also multibody bound states, they arise due a quantum anomaly of the underlying quantum field theory [20][21][22].…”

Section: Bose Polaron Hamiltoniansmentioning

confidence: 97%

Theory of excitation of Rydberg polarons in an atomic quantum gas

et al. 2018

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We present a quantum many-body description of the excitation spectrum of Rydberg polarons in a Bose gas. The many-body Hamiltonian is solved with a functional determinant approach, and we extend this technique to describe Rydberg polarons of finite mass. Mean-field and classical descriptions of the spectrum are derived as approximations of the many-body theory. The various approaches are applied to experimental observations of polarons created by excitation of Rydberg atoms in a strontium Bose-Einstein condensate.

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Section: Bose Polaron Hamiltoniansmentioning

confidence: 97%

Theory of excitation of Rydberg polarons in an atomic quantum gas

et al. 2018

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“…Fortunately, experiments with cold atomic gases, realizing the idea of a quantum simulator [7], open up the possibility to create and study the Bose polaron [8][9][10][11][12][13][14][15] in a laboratory. This intriguing possibility motivated a flurry of recent theoretical works on this problem [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35].…”

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confidence: 99%

Analytical approach to the Bose-polaron problem in one dimension

2017

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We discuss the ground state properties of a one-dimensional bosonic system doped with an impurity (the so-called Bose polaron problem). We introduce a formalism that allows us to calculate analytically the thermodynamic zero-temperature properties of this system with weak and moderate boson-boson interaction strengths for any boson-impurity interaction. Our approach is validated by comparing to exact quantum Monte Carlo calculations. In addition, we test the method in finite size systems using numerical results based upon the similarity renormalization group. We argue that the introduced approach provides a simple analytical tool for studies of strongly interacting impurity problems in one dimension.The weakly-interacting Bose gas is a beautiful model system [1], which is often used to study emergent manybody phenomena such as superfluidity, Bose-Einstein condensation, and topologically non-trivial many-body excitations like solitons and vortices. The basic properties of this model are well understood theoretically and tested experimentally (see, e.g., Refs. [2,3]). However, some important questions still remain open. One of them concerns the reaction of a Bose gas to a mobile impurity particle, which is usually referred to as the Bose polaron problem, in analogy to the polaron studied by Landau and Pekar [4]. Polaron problems are among the simplest problems exhibiting non-trivial many-body effects that shed light on the interplay of one-and many-body physics. However, the fate of the impurity in a gas is not of only formal interest. Properties of many systems in condensed matter physics can be understood by studying a single particle interacting with a reservoir. Prominent examples are given by a single 3 He atom in liquid 4 He [5] and an electron in an ionic crystal (often described as a particle interacting with a Bose field of ion vibrations), see [6] and references therein. The apparent simplicity of these problems is misleading, as to date they resist a full theoretical solution. Fortunately, experiments with cold atomic gases, realizing the idea of a quantum simulator [7], open up the possibility to create and study the Bose polaron [8][9][10][11][12][13][14][15] in a laboratory. This intriguing possibility motivated a flurry of recent theoretical works on this problem [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35].One-dimensional (1D) systems are of special interest in this context, because strongly interacting bosons in 1D fermionize [36]. This phenomenon simplifies the analysis. For example, if all the masses in the system are identical, the Bose polaron problem is exactly solvable [37]. This is also true if the impurity is infinitely heavy [30]. Therefore, a solution of the problem for weak and moderate boson-boson interaction is enough to complete the picture for all interaction strengths. However, theoretical approaches face challenges in describing these parameter regimes if the boson-impurity interactions are strong [38]. In this case accurate results can be obtai...

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“…In a previous study, we pointed out that Efimov signatures can be visualized in Bose polarons with large mass imbalance [38]. Such enhanced Efimov correlation has taken advantage of the following facts.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, we will extend our previous work [38] to investigate in detail how the three-body Efimov correlations affect the line shape and the width of the Bose polaron spectrum with different mass ratios. Using the diagrammatic approach up to the third order virial expansion, we can easily separate the three-body contributions from two-body ones and see clearly the isolated threebody effects in the spectrum of Bose polarons.…”

Section: Introductionmentioning

confidence: 99%

“…Thirdly, in the Bose polaron system, by tuning the boson-impurity interaction, the sizes of the Efimov trimers can become comparable to the inter-particle distance of the polaron system. In this case the Efimov trimers will have the optimized interference with the many-body background, thereby producing visible Efimov signatures in the polaron spectrum [38].…”

Section: Introductionmentioning

confidence: 99%

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Enhancing the Efimov correlation in Bose polarons with large mass imbalance

Sun

Cui

2017

Phys. Rev. A

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We study the effect of Efimov physics (in the few-body sector) to the spectral response of Bose polaron, a many-body system consisting of an impurity immersed in a bath of bosonic atoms. We find that the Efimov correlation can be greatly enhanced by increasing the mass ratio between the bosons and the impurity, which results in visible signatures in the rf spectrum of the polaron. Using a diagrammatic approach up to the third-order virial expansion, we show how the mass imbalance and the enhanced three-body effect modify the line shape and the width of the polaron spectrum. Moreover, we study the effect of a finite boson-boson interaction to the spectrum. Taking the realistic system of Li impurities immersed in Cs bosons with a positive Cs-Cs scattering length, we find a visible Efimov branch, which is associated with the second lowest Efimov trimer, in the polaron spectrum. In particular, by adjusting the boson density the Efimov branch can greatly hybridize with the attractive polaron branch leading to the spectrum broadening near their avoided level crossing. Our results can be directly probed in the cold atoms experiments on Li-Cs and Li-Rb Bose polarons.

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Visualizing the Efimov Correlation in Bose Polarons

Cited by 81 publications

References 73 publications

Theory of excitation of Rydberg polarons in an atomic quantum gas

Theory of excitation of Rydberg polarons in an atomic quantum gas

Analytical approach to the Bose-polaron problem in one dimension

Enhancing the Efimov correlation in Bose polarons with large mass imbalance

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