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Related papers: Tuning of Efimov states in non-integer dimensions

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The conditions for occurrence of the Efimov effect is briefly described using hyperspherical coordinates. The strength of the effective hyperradial $\rho^{-2}$ potential appearing for two or three large scattering lengths is computed and…

Atomic Physics · Physics 2009-11-10 A. S. Jensen , D. V. Fedorov

Universal behaviour has been found inside the window of Efimov physics for systems with $N=4,5,6$ particles. Efimov physics refers to the emergence of a number of three-body states in systems of identical bosons interacting {\it via} a…

Quantum Gases · Physics 2015-06-17 M. Gattobigio , A. Kievsky

The existence of the Efimov effect is drastically affected by the dimensionality of the space in which the system is embedded. The effective spatial dimension containing an atomic cloud can be continuously modified by compressing it in one…

Atomic Physics · Physics 2018-05-16 D. S. Rosa , T. Frederico , G. Krein , M. T. Yamashita

Efimov physics is a universal phenomenon arising in quantum three-body systems. For systems with resonant two-body interactions, Efimov predicted an infinite series of three-body bound states with geometric scaling symmetry. These Efimov…

Quantum Gases · Physics 2017-09-13 Jacob Johansen , B. J. DeSalvo , Krutik Patel , Cheng Chin

Efimov physics is drastically affected by the change of spatial dimensions. Efimov states occur in a tridimensional (3D) environment, but disappear in two (2D) and one (1D) dimensions. In this paper, dedicated to the memory of Prof.…

Atomic Physics · Physics 2019-05-01 M. T. Yamashita

We study three-atom inelastic scattering in ultracold \textsuperscript{39}K near a Feshbach resonance of intermediate coupling strength. The non-universal character of such resonance leads to an abnormally large Efimov absolute length scale…

The Efimov effect was first predicted for three particles interacting at an $s$-wave resonance in three dimensions. Subsequent study showed that the same effect can be realized by considering two-body and three-body interactions in mixed…

Quantum Gases · Physics 2017-09-27 Pengfei Zhang , Zhenhua Yu

We investigate theoretically and experimentally the heteronuclear Efimov scenario for a three-body system that consists of two bosons and one distinguishable particle with positive intraspecies scattering lengths. The three-body parameter…

We consider a multichannel generalization of the Fermi pseudopotential to model low-energy atom-atom interactions near a magnetically tunable Feshbach resonance, and calculate the adiabatic hyperspherical potential curves for a system of…

Other Condensed Matter · Physics 2009-11-13 N. P. Mehta , Seth T. Rittenhouse , J. P. D'Incao , Chris H. Greene

We introduce a new member to the class of semisuper Efimov effects, where an infinite number of bound states emerge with their binding energies obeying the universal scaling law $E_n\sim e^{-2(\pi n/\gamma)^2}$ for sufficiently high…

Quantum Gases · Physics 2025-05-23 Yusuke Nishida

Particles with resonant short-range interactions have universal properties that do not depend on the details of their structure or their interactions at short distances. In the three-body system, these properties include the existence of a…

Nuclear Theory · Physics 2011-02-14 H. -W. Hammer , L. Platter

In few-body physics, Efimov states are an infinite series of three-body bound states that obey universal discrete scaling symmetry when pairwise interactions are resonantly enhanced. Despite abundant reports of Efimov states in recent cold…

Quantum Gases · Physics 2014-12-17 Shih-Kuang Tung , Karina Jimenez-Garcia , Jacob Johansen , Colin V. Parker , Cheng Chin

We apply a field-theoretic functional renormalization group technique to the few-body (vacuum) physics of non-relativistic atoms near a Feshbach resonance. Three systems are considered: one-component bosons with U(1) symmetry, two-component…

Statistical Mechanics · Physics 2009-04-14 S. Moroz , S. Floerchinger , R. Schmidt , C. Wetterich

Wave functions, phase shifts and corresponding elastic cross sections are investigated for two short-range interacting particles in a deformed external oscillator field. For this we use the equivalent $d$-method employing a non-integer…

Atomic Physics · Physics 2022-03-17 Esben Rohan Christensen , Eduardo Garrido , Aksel Stenholm Jensen

We prove that the Schr\"odinger operator describing four particles in two dimensions, interacting solely through short-range three-body forces, can possess infinitely many bound states. This holds under the assumption that each three-body…

Mathematical Physics · Physics 2026-02-06 Jonathan Rau , Marvin R. Schulz

We studied the single-particle momentum distribution of mass-imbalanced Efimov states embedded in noninteger dimensions. The contact parameters, which can be related to the thermodynamic properties of the gas, were calculated from the high…

Quantum Gases · Physics 2026-04-14 D. S. Rosa , T. Frederico , G. Krein , M. T. Yamashita

We consider the problem of two heavy impurity particles embedded in a gas of weakly-interacting light mass bosonic particles in the condensed state. Using the Bogoliubov approach to describe the bosonic gas and the Born-Oppenheimer…

Quantum Gases · Physics 2013-04-04 N. T. Zinner

The bound states of a system consisting of two heavy identical atoms and one light electron interacting through the finite-range pairwise potentials are explored, focusing on their dependence on the electron-atom scattering length. In the…

Quantum Gases · Physics 2018-09-12 Huili Han , Chris H. Greene

Efimov effect is characterized by an infinite number of three-body bound states following a universal geometric scaling law at two-body resonances. In this paper, we investigate the influence of two-body loss which can be described by a…

Quantum Gases · Physics 2024-09-27 Mingyuan Sun , Chang Liu , Zhe-Yu Shi

We observe two consecutive heteronuclear Efimov resonances in an ultracold Li-Cs mixture by measuring three-body loss coefficients as a function of magnetic field near a Feshbach resonance. The first resonance is detected at a scattering…

Quantum Gases · Physics 2015-06-19 R. Pires , J. Ulmanis , S. Häfner , M. Repp , A. Arias , E. D. Kuhnle , M. Weidemüller