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We derive a generalized time-dependent Galilean-invariant density-functional (DF) equation appropriate to study the stationary and non-stationary properties of a trapped Fermi super-fluid in the Bardeen-Cooper-Schrieffer (BCS) to…

Quantum Gases · Physics 2015-05-18 S. K. Adhikari

Bardeen-Schrieffer-Cooper (BCS) and Bose-Einstein condensation (BEC) occur at opposite limits of a continuum of pairing interaction strength between fermions. A crossover between these limits is readily observed in a cold atomic Fermi gas.…

Superconductivity · Physics 2022-07-13 N. Harrison , M. K. Chan

We consider fermionic polar molecules in a bilayer geometry where they are oriented perpendicularly to the layers, which permits both low inelastic losses and superfluid pairing. The dipole-dipole interaction between molecules of different…

Quantum Gases · Physics 2010-11-29 A. Pikovski , M. Klawunn , G. V. Shlyapnikov , L. Santos

We present an exact many-body theory of ultracold fermionic gases for the Bose-Einstein condensation (BEC) regime of the BEC-BCS crossover. This is a purely fermionic approach which treats explicitely and systematically the dimers formed in…

Statistical Mechanics · Physics 2010-07-23 R. Combescot , X. Leyronas

The condensation of fermion pairs lies at the heart of superfluidity. However, for strongly correlated systems with reduced dimensionality the mechanisms of pairing and condensation are still not fully understood. In our experiment we use…

Quantum Gases · Physics 2015-06-11 M. G. Ries , A. N. Wenz , G. Zürn , L. Bayha , I. Boettcher , D. Kedar , P. A. Murthy , M. Neidig , T. Lompe , S. Jochim

Ultracold Fermi atoms allow the realization of the crossover from Bardeen-Cooper-Schrieffer (BCS) superconductivity to Bose- Einstein condensation (BEC), by varying with continuity the attraction between fermions of different species. In…

Other Condensed Matter · Physics 2009-10-08 Pierbiagio Pieri , Andrea Perali , Giancarlo Calvanese Strinati

A crossover between the Bose Einstein condensation (BEC) and BCS superconducting state is described topologically in the chiral symmetric fermion system with attractive interaction. Using a local Z_2 Berry phase, we found a quantum phase…

Strongly Correlated Electrons · Physics 2011-06-24 Mitsuhiro Arikawa , Isao Maruyama , Yasuhiro Hatsugai

Boson-Fermion models of superconductivity are getting attention as they are able to explain some of the high temperature superconductor's properties. Here we report on the condensation energy of a 3D non-interacting mixture of paired…

Superconductivity · Physics 2025-03-04 I. Chávez , P. Salas , J. J. Valencia , M. A. Solís

Although BCS pairs of fermions are known not to obey Bose-Einstein (BE) commutation relations nor BE statistics, we show how Cooper pairs (CPs), whether the simple original ones or the CPs recently generalized in a many-body Bethe-Salpeter…

Superconductivity · Physics 2009-11-10 M. de Llano , F. J. Sevilla , S. Tapia

The realization of BCS-BEC crossover in superconductors, which smoothly connects Bardeen-Cooper-Schrieffer (BCS) theory with Bose-Einstein Condensation (BEC) in fermion systems, is an intriguing recent topic in strongly correlated electron…

Superconductivity · Physics 2025-02-20 Hiroshi Watanabe , Hiroaki Ikeda

Though commonly unrecognized, a superconducting BCS condensate consists of equal numbers of two-electron (2e) and two-hole (2h) Cooper pairs (CPs). A complete (in the sense that 2h-CPs are not ignored) boson-fermion statistical model,…

Superconductivity · Physics 2007-05-23 M. de Llano

Fermionic superfluidity requires the formation of pairs. The actual size of these fermion pairs varies by orders of magnitude from the femtometer scale in neutron stars and nuclei to the micrometer range in conventional superconductors.…

Superconductivity · Physics 2008-08-14 Christian H. Schunck , Yong-il Shin , Andre Schirotzek , Wolfgang Ketterle

The main focus of this paper is a discussion of what might happen in a BCS superfluid when there is an imbalance between the two populations of fermionic particles forming Cooper pairs, having in mind the case of ultracold Fermi gases. In…

Superconductivity · Physics 2007-05-23 R. Combescot

Near the flavor SU(3) limit, we propose an analytical description for color-flavor-locked-type Bardeen-Cooper-Schrieffer (BCS) phase in the Nambu Jona-Lasinio (NJL) model. The diquark behaviors in light-flavor and strange-flavor-involved…

High Energy Physics - Phenomenology · Physics 2015-03-17 Xiao-Bing Zhang , Chun-Fu Ren , Yi Zhang

We investigate the system of a heavy impurity embedded in a paired two-component Fermi gas at the crossover from a Bose-Einstein condensate (BEC) to a Bardeen--Cooper--Schrieffer (BCS) superfluid via an extension of the functional…

Quantum Gases · Physics 2022-07-22 Jia Wang , Xia-Ji Liu , Hui Hu

By recognizing the vital importance of two-hole Cooper pairs (CPs) in addition to the usual two-electron ones in a strongly-interacting many-electron system, the concept of CPs was re-examined with striking conclusions. Based on this,…

Superconductivity · Physics 2009-11-11 M. de Llano , M. Grether

We study the superfluid critical temperature in a two-band attractive Fermi system with strong pairing fluctuations associated with both interband and intraband couplings. We focus specifically on a configuration where the intraband…

Quantum Gases · Physics 2019-06-05 Hiroyuki Tajima , Yuriy Yerin , Andrea Perali , Pierbiagio Pieri

We provide an analytic solution for the mean-field equations and for the relevant physical quantities at the Gaussian level, in terms of the complete elliptic integrals of the first and second kinds, for the crossover problem from BCS…

Superconductivity · Physics 2009-10-30 M. Marini , F. Pistolesi , G. C. Strinati

The BEC-BCS crossover in QCD at finite baryon and isospin chemical potentials is investigated in the Nambu--Jona-Lasinio model. The diquark condensation in two color QCD and the pion condensation in real QCD would undergo a BEC-BCS…

High Energy Physics - Phenomenology · Physics 2008-11-26 Gaofeng Sun , Lianyi He , Pengfei Zhuang

The BCS-BEC crossover in a lattice is a powerful paradigm to understand how a superconductor deviates from the Bardeen-Cooper-Schrieffer physics as the attractive interaction increases. Optical lattices loaded with binary mixtures of cold…

Strongly Correlated Electrons · Physics 2014-05-15 A. Amaricci , A. Privitera , M. Capone
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