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Related papers: Efimov physics from the functional renormalization…

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We study the exact renormalisation group flow for ultracold Fermi-gases in unitary regime. We introduce a pairing field to describe the formation of the Cooper pairs, and take a simple ansatz for the effective action. Set of approximate…

Superconductivity · Physics 2009-11-05 Boris Krippa

We discuss several issues important for experimentally observing Efimov physics in ultracold quantum gases. By numerically solving the three-boson Schr\"odinger equation over a broad range of scattering lengths and energies, and by…

Other Condensed Matter · Physics 2009-02-10 J. P. D'Incao , Chris H. Greene , B. D. Esry

Using a generalized Bohr model and the hyper-spherical formalism for a three-body system, we derive the Thomas theorem assuming a simple interaction depending on the range of the potential. We discuss the conditions for which an unbound…

Nuclear Theory · Physics 2020-08-13 H. Zheng , A. Bonasera

We determine the three-body bound states of an atom in a Fermi mixture. Compared to the Efimov spectrum of three atoms in vacuum, we show that the Fermi seas deform the Efimov spectrum systematically. We demonstrate that this effect is more…

Atomic Physics · Physics 2020-08-04 Ali Sanayei , Ludwig Mathey

This review article presents historical developments and recent advances in our understanding on the three-body forces and Efimov physics, from an interdisciplinary viewpoint encompassing nuclear physics and cold atoms. Theoretical attempts…

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 nature of the normal state of an ultracold Fermi gas in the BCS-BEC crossover regime is an intriguing and controversial topic. While the many-body ground state remains a condensate of paired fermions, the normal state must evolve from a…

Quantum Gases · Physics 2015-03-03 Yoav Sagi , Tara E. Drake , Rabin Paudel , Roman Chapurin , Deborah S. Jin

We investigate the effects of the nearly fulfilled Efimov conditions on the properties of three-body resonances. Using the hyper-spheric adiabatic expansion method we compute energy distributions of fragments in a three-body decay of a…

Nuclear Theory · Physics 2009-11-11 E. Garrido , D. V. Fedorov , A. S. Jensen

We describe three-body collisions close to a Feshbach resonance by taking into account two-body scattering processes involving both the open and the closed channel. We extract the atom-dimer scattering length and the three-body…

Other Condensed Matter · Physics 2014-11-17 P. Massignan , H. T. C. Stoof

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

The loss of conformal invariance in Efimov physics is due to the merger and disappearance of an infrared and an ultraviolet fixed point of a three-body renormalization group flow as the spatial dimension $d$ is varied. In the case of…

Quantum Gases · Physics 2018-12-18 Abhishek Mohapatra , Eric Braaten

The exact renormalization group methods is applied to many fermion systems with short-range attractive force. The strength of the attractive fermion-fermion interaction is determined from the vacuum scattering length. A set of approximate…

High Energy Physics - Phenomenology · Physics 2009-11-10 B. Krippa , M. C. Birse , J. A. McGovern , N. R. Walet

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

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

We give a self-contained introduction to the physics of ultracold atoms using functional integral techniques. Based on a consideration of the relevant length scales, we derive the universal effective low energy Hamiltonian describing…

Quantum Gases · Physics 2012-09-26 Igor Boettcher , Jan M. Pawlowski , Sebastian Diehl

We report on the observation of triatomic Efimov resonances in an ultracold gas of cesium atoms. Exploiting the wide tunability of interactions resulting from three broad Feshbach resonances in the same spin channel, we measure…

The two-channel model for bosons with the three-body interaction is proposed. Similar to the Hamiltonian describing narrow Feshbach resonance in the two-body sector, our model includes the finite-range effects of the three-body potential…

Quantum Gases · Physics 2025-06-24 V. Polkanov , O. Hryhorchak , V. Pastukhov

Resonant P-wave interactions can be described by a minimal zero-range model defined by a truncated effective range expansion, so that the only 2-body interaction parameters are the inverse scattering volume 1/a_P and the P-wave effective…

Quantum Gases · Physics 2012-08-20 Eric Braaten , P. Hagen , H. -W. Hammer , L. Platter

We study the application of the exact renormalisation group to a many-fermion system with a short-range attractive force. We introduce a boson field to describe pairing effects, and take a simple ansatz for the effective action. We derive a…

High Energy Physics - Phenomenology · Physics 2016-09-06 Michael C. Birse , Boris Krippa , Judith A. McGovern , Niels R. Walet

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
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