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The recently discovered universal thermodynamic behaviour of dilute, strongly interacting Fermi gases also implies a universal structure in the many-body pair-correlation function at short distances, as quantified by the contact ${\cal I}$.…

Quantum Gases · Physics 2011-07-06 Hui Hu , Xia-Ji Liu , Peter D. Drummond

Borromean rings and Borromean binding, a class of intriguing phenomena as three objects are linked (bound) together while any two of them are unlinked (unbound), widely exist in nature and have been found in systems of biology, chemistry…

Quantum Gases · Physics 2014-08-15 Xiaoling Cui , Wei Yi

The rapid experimental progress of ultra-cold dipolar fermions opens up a whole new opportunity to investigate novel many-body physics of fermions. In this article, we review theoretical studies of the Fermi liquid theory and Cooper pairing…

Quantum Gases · Physics 2015-01-06 Yi Li , Congjun Wu

In this paper we present a theoretical investigation for the ground state of an impurity immersed in a Fermi sea. The molecular regime is considered where a two-body bound state between the impurity and one of the fermions is formed. Both…

Quantum Gases · Physics 2009-09-23 Christophe Mora , Frédéric Chevy

Trimers are chains formed by two lattice edges, and therefore three monomers. We consider trimers placed on the square lattice, the edges belonging to the same trimer are either colinear, forming a straight rod with unitary statistical…

Statistical Mechanics · Physics 2023-04-19 Pablo Serra , Wellington G. Dantas , Jürgen F. Stilck

The zero-energy universal properties of scattering between a particle and a dimer that involves an identical particle are investigated for arbitrary scattering angular momenta. For this purpose, we derive an integral equation that…

Atomic Physics · Physics 2012-12-18 Shimpei Endo , Pascal Naidon , Masahito Ueda

The occurrence of a new limit cycle in few-body physics, expressing a universal scaling function relating the binding energies of two consecutive tetramer states, is revealed, considering a renormalized zero-range two-body interaction…

Atomic and Molecular Clusters · Physics 2011-10-26 M. R. Hadizadeh , M. T. Yamashita , Lauro Tomio , A. Delfino , T. Frederico

We consider the quench of an atomic impurity via a single Rydberg excitation in a degenerate Fermi gas. The Rydberg interaction with the background gas particles induces an ultralong-range potential that binds particles to form dimers,…

Quantum Gases · Physics 2020-04-15 John Sous , H. R. Sadeghpour , T. C. Killian , Eugene Demler , Richard Schmidt

We consider a single \down atom within a Fermi sea of \up atoms. We elucidate by a full many-body analysis the quite mysterious agreement between Monte-Carlo results and approximate calculations taking only into account single particle-hole…

Soft Condensed Matter · Physics 2009-02-09 R. Combescot , S. Giraud

The two-body scattering length a for 4He atoms is much larger than their effective range r_s. As a consequence, low-energy few-body observables have universal characteristics that are independent of the interaction potential. Universality…

Condensed Matter · Physics 2009-11-07 Eric Braaten , H. -W. Hammer

We calculated, using seven realistic 4He-4He potentials in the literature, the Efimov spectra of the 4He trimer and tetramer and analyzed the universality of the systems. The three-(four-)body Schroedinger equations were solved fully…

Quantum Gases · Physics 2014-11-20 E. Hiyama , M. Kamimura

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

Recent experimental and numerical evidence suggest an intriguing universal relationship between the Fermi surface anisotropy of the non-interacting parent two-dimensional electron gas and the strongly correlated composite Fermi liquid…

Strongly Correlated Electrons · Physics 2020-05-18 Jia Ning Leaw , Ho-Kin Tang , Maxim Trushin , Fakher F. Assaad , Shaffique Adam

We investigate the two-body properties of a spin-1/2 Fermi gas subject to a spin-orbit coupling induced by laser fields. When an attractive s-wave interaction between unlike spins is present, the system may form a dimer bound state.…

Quantum Gases · Physics 2013-04-15 Lin Dong , Lei Jiang , Hui Hu , Han Pu

A Fermi gas of non-interacting electrons, or ultra-cold fermionic atoms, has a quantum ground state defined by a region of occupancy in momentum space known as the Fermi sea. The Euler characteristic $\chi_F$ of the Fermi sea serves to…

Quantum Gases · Physics 2024-08-21 Pok Man Tam , Charles L. Kane

We demonstrate a remarkable property of metallic Fermi liquids: the transverse conductivity assumes a universal value in the quasi-static ($\omega \rightarrow 0$) limit for wavevectors $q$ in the regime $l_{\rm mfp}^{-1} \ll q \ll p_{\rm…

Mesoscale and Nanoscale Physics · Physics 2021-11-17 Jun Yong Khoo , Falko Pientka , Inti Sodemann

The three-body recombination coefficient of a trapped ultracold atomic system, together with the corresponding two-body scattering length $a$, allow us to predict the energy $E_3$ of the shallow trimer bound state, using a universal scaling…

Soft Condensed Matter · Physics 2009-11-10 Lauro Tomio , Victo S. Filho , M. T. Yamashita , A. Gammal , T. Frederico

We investigate a two-species Fermi gas in which one species is confined in two parallel layers and interacts with the other species in the three-dimensional space by a tunable short-range interaction. Based on the controlled weak coupling…

Quantum Gases · Physics 2014-11-20 Yusuke Nishida

Pauli's exclusion principle forces fermions to occupy distinct quantum states, creating a filled region of momentum space at low temperature, the Fermi sea, whose topology governs the system's response to perturbations and the nature of its…

The Fermi edge singularity and the Anderson orthogonality catastrophe describe the universal physics which occurs when a Fermi sea is locally quenched by the sudden switching of a scattering potential, leading to a brutal disturbance of its…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 A. Sindona , J. Goold , N. Lo Gullo , S. Lorenzo , F. Plastina
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