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Related papers: Super Efimov effect for mass-imbalanced systems

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When the scattering length is proportional to the distance from the center of the system, two particles are shown to be trapped about the center. Furthermore, their spectrum exhibits discrete scale invariance, whose scale factor is…

Quantum Gases · Physics 2015-03-20 Yusuke Nishida , Dean Lee

We analyse scattering of a heavy atom off a weakly bound molecule comprising an identical heavy and a light atom in the Born-Oppenheimer approximation. We focus on the situation where the heavy atoms are bosons, which was realized in…

Quantum Physics · Physics 2013-05-29 M. A. Efremov , L. Plimak , B. Berg , M. Yu. Ivanov , W. P. Schleich

Few-body physics related to the Efimov effect is discussed using the functional renormalization group method. After a short review of renormalization in its modern formulation we apply this formalism to the description of scattering and…

Quantum Gases · Physics 2012-08-20 Stefan Floerchinger , Sergej Moroz , Richard Schmidt

We consider a system of three identical bosons in $\mathbb{R}^3$ with two-body zero-range interactions and a three-body hard-core repulsion of a given radius $a>0$. Using a quadratic form approach we prove that the corresponding Hamiltonian…

Mathematical Physics · Physics 2025-09-23 Davide Fermi , Daniele Ferretti , Alessandro Teta

Three-body loss resonances associated with heavy-heavy-light Efimov states have been observed for over a decade in ultracold mixtures tuned near interspecies Feshbach resonances. For light-light-heavy systems, observing such resonances has…

Quantum Gases · Physics 2025-12-24 Karim I. Elghazawy , Chris H. Greene

Ultracold atomic gases have developed into prime systems for experimental studies of Efimov three-body physics and related few-body phenomena, which occur in the universal regime of resonant interactions. In the last few years, many…

Quantum Gases · Physics 2011-10-21 F. Ferlaino , A. Zenesini , M. Berninger , B. Huang , H. -C. Nägerl , R. Grimm

We study the behavior of the bound state energy of a system consisting of two identical heavy fermions of mass M and a light particle of mass m. The heavy fermions interact with the light particle through a short-range two-body potential…

Quantum Gases · Physics 2015-06-12 A. Safavi-Naini , Seth. T. Rittenhouse , D. Blume , H. R. Sadeghpour

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…

Quantum Gases · Physics 2017-08-30 Mingyuan Sun , Xiaoling Cui

Background: The Efimov effect is a universal phenomenon in physics whereby three-body systems are stabilized via the interaction of an unbound two-body sub-systems. A hypothetical state in $^{12}\mathrm{C}$ at 7.458 MeV excitation energy,…

We employ the Born-Oppenheimer approximation to find the effective potential in a three-body system consisting of a light particle and two heavy ones when the heavy-light short-range interaction potential has a resonance corresponding to a…

Atomic Physics · Physics 2013-09-25 Maxim A. Efremov , Lev Plimak , Misha Yu. Ivanov , Wolfgang P. Schleich

We consider a system of three helium-4 atoms, which is so far the simplest realistic three-body system exhibiting the Efimov effect, in order to analyse deviations from the universal Efimov three-body spectrum. We first calculate the bound…

Atomic Physics · Physics 2013-04-29 Pascal Naidon , Emiko Hiyama , Masashito Ueda

Motivated by recent experiments on $^{6}$Li-$^{133}$Cs atomic mixtures with high mass imbalance, we study the Efimov correlation in atomic system of two heavy bosons ($^{133}$Cs) immersed in a bath of light fermions ($^{6}$Li). Using the…

Quantum Gases · Physics 2019-07-03 Mingyuan Sun , Xiaoling Cui

Inspired by the narrow Feshbach resonance in systems with the two-body interaction, we propose the two-channel model of three-component fermions with the three-body interaction that takes into account the finite-range effects in low…

Quantum Gases · Physics 2024-01-23 V. Polkanov , V. Pastukhov

The Efimov effect in heteronuclear cold atomic systems is experimentally more easily accessible than the Efimov effect for identical atoms, because of the potentially smaller scaling factor. We focus on the case of two or three heavy…

Quantum Gases · Physics 2017-04-05 Christiane H. Schmickler , Hans-Werner Hammer , Emiko Hiyama

Physical systems with a large scattering length have universal properties independent of the details of the interaction at short distances. Such systems can be realized in experiments with cold atoms close to a Feshbach resonance. They also…

Other Condensed Matter · Physics 2008-11-26 H. -W. Hammer

Efimov physics is renowned for the self-similar spectrum featuring the universal ratio of one eigenenergy to its neighbor. Even more esoteric is the numerically unveiled fact that every Efimov trimer is accompanied by a pair of tetramers.…

Quantum Gases · Physics 2016-12-07 Yusuke Horinouchi , Masahito Ueda

Three particles with large scattering length display a universal spectrum of three-body bound states called "Efimov trimers''. We calculate the modification of the Efimov trimers of three identical bosons in a finite cubic box and compute…

Nuclear Theory · Physics 2010-07-27 Simon Kreuzer , H. -W. Hammer

We provide a general discussion on the importance of three-body Efimov physics for strongly interacting ultracold quantum gases. Using the adiabatic hyperspherical representation, we discuss a universal classification of three-body systems…

Atomic Physics · Physics 2018-02-14 Jose P. D'Incao

We consider bound states of asymmetric three-body systems confined to two dimensions. In the universal regime, two energy ratios and two mass ratios provide complete knowledge of the three-body energy measured in units of one two-body…

Quantum Gases · Physics 2012-02-06 F. F. Bellotti , T. Frederico , M. T. Yamashita , D. V. Fedorov , A. S. Jensen , N. T. Zinner

The dimensionality of a system can fundamentally impact the behaviour of interacting quantum particles. Classic examples range from the fractional quantum Hall effect to high temperature superconductivity. As a general rule, one expects…

Quantum Gases · Physics 2014-08-04 Jesper Levinsen , Pietro Massignan , Meera M. Parish