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Chiral $p$-wave superfluids are fascinating topological quantum states of matter that have been found in the liquid $^3$He-A phase and arguably in the electronic Sr$_2$RuO$_4$ superconductor. They are shown fundamentally related to the…

Quantum Gases · Physics 2014-10-03 Bo Liu , Xiaopeng Li , Biao Wu , W. Vincent Liu

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 consider two-dimensional weakly-bound heterospecies molecules formed in a Fermi-Bose mixture with attractive Fermi-Bose and repulsive Bose-Bose interactions. Bosonic exchanges lead to an intermolecular attraction, which can be controlled…

Quantum Gases · Physics 2019-01-01 Betzalel Bazak , Dmitry S. Petrov

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

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

The high-$T_c$ cuprates are possible candidates for d-wave superconductivity, with the Cooper pair wave function belonging to a non-trivial irreducible representation of the lattice point group. We argue that this d-wave symmetry is related…

supr-con · Physics 2009-10-30 A. S. Blaer , H. C. Ren , O. Tchernyshyov

The resonant profile of the rate coefficient for three-body recombination into a shallow dimer is investigated for mass-imbalanced systems. In the low-energy limit, three atoms collide with zero-range interactions, in a regime where the…

Quantum Gases · Physics 2025-11-26 P. Giannakeas , Chris H. Greene

We consider a spin-balanced degenerate gas of spin-1/2 fermions whose dynamics is governed by low-energy $P$-wave interactions, characterized by the scattering volume $a_1$ and effective momentum $r_1$. The energy per particle…

Quantum Gases · Physics 2022-12-02 J. M. Alarcón , J. A. Oller

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

We study three-body recombination in two dimensions for systems interacting via short-range two-body interactions in the regime of large scattering lengths. Using the adiabatic hyperspherical representation, we derive semi-analytical…

Quantum Physics · Physics 2014-11-11 J. P. D'Incao , Fatima Anis , B. D. Esry

Four-boson Efimov physics is well known in the negative energy regime but far less above the four-body breakup threshold. The part of this region with negative two-boson scattering length is studied solving rigorous four-particle scattering…

Nuclear Theory · Physics 2021-06-30 A. Deltuva

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 consider a system of $N\gg 1$ interacting fermionic particles in three dimensions, confined in a periodic box of volume $1$, in the mean-field scaling. We assume that the interaction potential is bounded and small enough. We prove upper…

Mathematical Physics · Physics 2019-12-10 Christian Hainzl , Marcello Porta , Felix Rexze

We study three same spin state fermions of mass M interacting with a distinguishable particle of mass m in the unitary limit where the interaction has a zero range and an infinite s-wave scattering length. We predict an interval of mass…

Quantum Gases · Physics 2015-05-19 Yvan Castin , Christophe Mora , Ludovic Pricoupenko

Thermodynamics provides powerful constraints on physical and chemical systems in equilibrium. However, non-equilibrium dynamics depends explicitly on microscopic properties, requiring an understanding beyond thermodynamics. Remarkably, in…

Quantum Gases · Physics 2016-06-15 C. Luciuk , S. Trotzky , S. Smale , Zhenhua Yu , Shizhong Zhang , J. H. Thywissen

We study three-body systems in a mass-imbalanced two-component cold-atom mixture, and we investigate the three-body parameter of their Efimov states for both bosonic and fermionic systems, with a major focus on the Er-Er-Li Efimov states.…

Quantum Gases · Physics 2024-09-05 Kazuki Oi , Pascal Naidon , Shimpei Endo

We present a theory of a degenerate atomic Fermi gas, interacting through a narrow Feshbach resonance, whose position and therefore strength can be tuned experimentally, as demonstrated recently in ultracold trapped atomic gases. The…

Superconductivity · Physics 2007-05-23 V. Gurarie , L. Radzihovsky

Based on the recently developed interaction renormalization for the one-dimensional $p$-wave interaction, we study the problem of a single impurity immersed in a highly polarized Fermi sea. They interact through a narrow $p$-wave Feshbach…

Quantum Gases · Physics 2020-07-14 Yinfeng Ma , Xiaoling Cui

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

We observe enhanced three-body recombination in an ultracold three-component $^6$Li Fermi gas with large but unequal scattering lengths attributable to an excited Efimov trimer state near the three-atom scattering threshold. We find…

Quantum Physics · Physics 2015-05-13 J. R. Williams , E. L. Hazlett , J. H. Huckans , R. W. Stites , Y. Zhang , K. M. O'Hara