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Related papers: An elementary exposition of the Efimov Effect

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The Efimov effect (in a broad sense) refers to the onset of a geometric sequence of many-body bound states as a consequence of the breakdown of continuous scale invariance to discrete scale invariance. While originally discovered in…

Quantum Gases · Physics 2022-09-23 Satoshi Ohya

In 1970 V. Efimov predicted a puzzling quantum-mechanical effect that is still of great interest today. He found that three particles subjected to a resonant pairwise interaction can join into an infinite number of loosely bound states even…

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

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

Wave-particle duality in quantum mechanics allows for a halo bound state whose spatial extension far exceeds a range of the interaction potential. What is even more striking is that such quantum halos can be arbitrarily large on special…

Quantum Gases · Physics 2017-06-12 Yusuke Nishida

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

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

When three particles in three dimensions interact with a short-range potential fine-tuned to an infinite scattering length, they form an infinite sequence of loosely bound states obeying discrete scale invariance known as Efimov states.…

Atomic Physics · Physics 2024-12-04 Yusuke Nishida

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

The Efimov effect for three bosons in three dimensions requires two infinitely large $s$-wave scattering lengths. We assume two identical particles with very large scattering lengths interacting with a third particle. We use a novel…

Atomic and Molecular Clusters · Physics 2020-08-03 E. R. Christensen , A. S. Jensen , E. Garrido

We study two species of particles in two dimensions interacting by isotropic short-range potentials with the interspecies potential fine-tuned to a p-wave resonance. Their universal low-energy physics can be extracted by analyzing a…

Quantum Gases · Physics 2014-12-25 Sergej Moroz , Yusuke Nishida

When two non-relativistic particles interact resonantly in three dimensions, an infinite tower of three-body bound states emerges, exhibiting a discrete scale invariance. This universal phenomenon, known as the Efimov effect, has garnered…

Quantum Gases · Physics 2026-04-16 Ning Sun , Lei Feng , Pengfei Zhang

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

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

The Efimov effect can be induced by means of an external deformed one-body field that effectively reduces the allowed spatial dimensions to less than three. To understand this new mechanism, conceptually and practically, we employ a…

Atomic and Molecular Clusters · Physics 2021-03-23 E. Garrido , A. S. Jensen

Efimov's prediction more than three decades ago that three-body bound states can exist when the pairwise attractions do not bind or only support weakly bound states of a pair, has remained unconfirmed till just the past year. This lecture…

Quantum Physics · Physics 2007-06-11 A. R. P. Rau

When two particles attract via a resonant short-range interaction, three particles always form an infinite tower of bound states characterized by a discrete scaling symmetry. It has been considered that this Efimov effect exists only in…

Quantum Gases · Physics 2015-03-19 Yusuke Nishida , Shina Tan

We calculate the three-body spectrum for identical bosons interacting via attractive $1/r^2$ potentials. We have found an infinite number of three-body states even when the pair interactions are too weak to support any two-body states.…

Quantum Physics · Physics 2011-10-05 Nicolais Guevara , Yujun Wang , B. D. Esry

The quantum mechanical three-body problem is a source of continuing interest due to its complexity and not least due to the presence of fascinating solvable cases. The prime example is the Efimov effect where infinitely many bound states of…

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
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