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Scale invariance in quantum mechanics can be broken in several ways. A well-known example is the breakdown of continuous scale invariance to discrete scale invariance, whose typical realization is the Efimov effect of three-body problems.…

Quantum Physics · Physics 2026-01-15 Satoshi Ohya

In a three-body system of identical bosons interacting through a large S-wave scattering length $a$, there are several sets of Efimov features related by discrete scale invariance. Effective field theory was recently used to derive…

Quantum Gases · Physics 2015-09-16 Chen Ji , Eric Braaten , Daniel R. Phillips , Lucas Platter

The stabilization of Cooper pairs of bound electrons in the background of a Fermi sea is the origin of superconductivity and the paradigmatic example of the striking influence of many-body physics on few-body properties. In the…

Quantum Gases · Physics 2014-02-25 Nicolai Gayle Nygaard , Nikolaj Thomas Zinner

In this article, we revisit the heteronuclear Efimov effect in a Bose-Fermi mixture with large mass difference in the Born-Oppenheimer picture. As a specific example, we consider the combination of bosonic $^{133}\mathrm{Cs}$ and fermionic…

We study two-body correlations in systems of identical bosons. We use a Faddeev type of decomposition of the wave function where all pairs of particles are treated equally. We focus on a new multi-particle Efimov effect at large scattering…

Condensed Matter · Physics 2009-11-07 O. Sørensen , D. V. Fedorov , A. S. Jensen

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

In recent years extensive theoretical and experimental studies of universal few-body physics have led to advances in our understanding of universal Efimov physics [1]. The Efimov effect, once considered a mysterious and esoteric effect, is…

Quantum Gases · Physics 2015-06-03 Jia Wang , J. P. D'Incao , B. D. Esry , Chris H. Greene

We solve the three-body bound state problem in three dimensions for mass imbalanced systems of two identical bosons and a third particle in the universal limit where the interactions are assumed to be of zero-range. The system displays the…

Quantum Gases · Physics 2013-06-21 M. T. Yamashita , F. F. Bellotti , T. Frederico , D. V. Fedorov , A. S. Jensen , N. T. Zinner

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

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

Super Efimov effect is a recently proposed three-body effect characterized by a double-exponential scaling, which has not been observed experimentally yet. Here, we present the general dynamic equations determining the cloud size of a scale…

Quantum Gases · Physics 2017-11-22 Zhe-Yu Shi , Ran Qi , Hui Zhai , Zhenhua Yu

The three-body problem, from the chaotic motions of celestial bodies to complex microscopic particle interactions, has always been one of the most foundational yet intricate challenges in physics since its establishment. A key breakthrough…

High Energy Physics - Theory · Physics 2024-06-03 Wei-Can Yang , Makoto Tsubota , Muneto Nitta , Hua-Bi Zeng

This article reviews theoretical and experimental advances in Efimov physics, an array of quantum few-body and many-body phenomena arising for particles interacting via short-range resonant interactions, that is based on the appearance of a…

Quantum Physics · Physics 2022-10-04 Pascal Naidon , Shimpei Endo

Systems of three interacting particles are notorious for their complex physical behavior. A landmark theoretical result in few-body quantum physics is Efimov's prediction of a universal set of bound trimer states appearing for three…

Other Condensed Matter · Physics 2007-05-23 T. Kraemer , M. Mark , P. Waldburger , J. G. Danzl , C. Chin , B. Engeser , A. D. Lange , K. Pilch , A. Jaakkola , H. -C. Naegerl , R. Grimm

The Efimov phenomenon manifests itself as an emergent discrete scaling symmetry in the quantum three-body problem. In the unitarity limit, it leads to an infinite tower of three-body bound states with energies forming a geometric sequence.…

Nuclear Theory · Physics 2023-09-06 Sebastian M. Dawid , Md Habib E Islam , Raúl A. Briceño , Andrew W. Jackura

The Bose polaron is a quasi-particle of an impurity dressed by surrounding bosons. In few-body physics, it is known that two identical bosons and a third distinguishable particle can form a sequence of Efimov bound states in the vicinity of…

Quantum Gases · Physics 2017-07-11 Mingyuan Sun , Hui Zhai , Xiaoling Cui

Three interacting particles form a system which is well known for its complex physical behavior. A landmark theoretical result in few-body quantum physics is Efimov's prediction of a universal set of weakly bound trimer states appearing for…

Other Condensed Matter · Physics 2009-11-11 H. -C. Naegerl , T. Kraemer , M. Mark , P. Waldburger , J. G. Danzl , B. Engeser , A. D. Lange , K. Pilch , A. Jaakkola , C. Chin , R. Grimm

Physics is said to be universal when it emerges regardless of the underlying microscopic details. A prominent example is the Efimov effect, which predicts the emergence of an infinite tower of three-body bound states obeying discrete scale…

Strongly Correlated Electrons · Physics 2013-08-26 Yusuke Nishida , Yasuyuki Kato , Cristian D. Batista

We discuss the prospects for observing the characteristic features of the Efimov effect in a two-component ultracold atomic gas near an interspecies Feshbach resonance. In the ultracold regime, the Efimov effect is expected to be manifested…

Other Condensed Matter · Physics 2009-11-11 J. P. D'Incao , B. D. Esry

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