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We theoretically study the ground-state properties and the condensations of exciton-like Cooper pairs and biexciton-like Cooper quartets in an electron-hole system. Applying the variational approach associated based on the quartet…

Strongly Correlated Electrons · Physics 2022-05-27 Yixin Guo , Hiroyuki Tajima , Haozhao Liang

We experimentally determined various thermodynamic quantities of interacting two-component fermions at the zero-temperature limit from the Bardeen-Cooper-Schrieffer (BCS) region to the unitarity limit. The obtained results are very accurate…

We theoretically investigate a quartet superfluid state in fermionic matter by using the quartet Bardeen-Cooper-Schrieffer (BCS) variational theory and the Green's function method. We demonstrate that the quartet BCS theory with the…

Nuclear Theory · Physics 2026-01-21 Yixin Guo , Hiroyuki Tajima , Haozhao Liang

Four-particle correlations in fermion systems at finite temperatures are investigated with special attention to the formation of a condensate. Instead of the instability of the normal state with respect to the onset of pairing described by…

Strongly Correlated Electrons · Physics 2008-11-26 G. Roepke , A. Schnell , P. Schuck , P. Nozieres

We formulate a new Bardeen-Cooper-Schrieffer (BCS)-type theory at finite temperature, by deriving a set of variational equations of the free energy after the particle-number projection. With its broad applicability, this theory can be a…

Quantum Physics · Physics 2009-11-13 H. Nakada , K. Tanabe

The theory for condensation of higher fermionic clusters is developed. Fully selfconsistent nonlinear equations for the quartet order parameter in strongly coupled fermionic systems are established and solved. The breakdown of the…

Quantum Gases · Physics 2011-02-28 Takaaki Sogo , Gerd Röpke , Peter Schuck

The Bardeen-Cooper-Schrieffer (BCS) mean-field theory of the pairing interaction breaks down for nuclei and ultra-small metallic grains (nanoparticles). Finite-temperature pairing correlations in such finite-size systems can be calculated…

Nuclear Theory · Physics 2008-11-26 Y. Alhassid

We theoretically investigate Cooper quartet correlations in $ N = Z $ doubly-magic nuclei ($ {}^{40} \mathrm{Ca} $, $ {}^{100} \mathrm{Sn} $, and $ {}^{164} \mathrm{Pb} $). We first examine the quartet condensation fraction in infinite…

Nuclear Theory · Physics 2025-08-06 Yixin Guo , Tomoya Naito , Hiroyuki Tajima , Haozhao Liang

The critical temperature for $\alpha$-particle condensation in nuclear matter with Fermi surface imbalance between protons and neutrons is determined. The in-medium four-body Schr\"odinger equation, generalizing the Thouless criterion of…

Nuclear Theory · Physics 2014-11-21 Takaaki Sogo , Gerd Röpke , Peter Schuck

The condensation of Cooper pairs, originating from the Fermi-surface instability due to a weakly attractive interaction between two fermions, opened a new frontier for exploring many-body physics in interdisciplinary contexts. In this work,…

Quantum Gases · Physics 2021-11-25 Sora Akagami , Hiroyuki Tajima , Kei Iida

We discuss various properties of singlet S pairing in neutron and nuclear matter in terms of the bare nuclon-nucleon interaction. Relations to the NN phase shifts are discussed, as well as various properties of the BCS wave function and the…

Nuclear Theory · Physics 2007-05-23 O. Elgaroy , M. Hjorth-Jensen

An approach is proposed to nuclear pairing at finite temperature and angular momentum, which includes the effects of the quasiparticle-number fluctuation and dynamic coupling to pair vibrations within the self-consistent quasiparticle…

Nuclear Theory · Physics 2009-11-13 N. Dinh Dang , N. Quang Hung

Fermion systems with more than two components can exhibit pairing condensates of much more complex structure than the well-known single BCS condensate of spin-up and spin-down fermions. In the framework of the exactly solvable SO(8)…

Mathematical Physics · Physics 2015-05-14 G. F. Bertsch , J. Dukelsky , B. Errea , C. Esebbag

A general theory for the condensation of strongly bound quartets in infinite nuclear matter is presented. Critical temperatures for symmetric and asymmetric nuclear matter are evaluated. A fully nonlinear theory for the quartet order…

Nuclear Theory · Physics 2015-06-05 Peter Schuck , Takaaki Sogo , Gerd Röpke

We formulate a Bardeen-Cooper-Schriffer (BCS) theory of quasiparticles in a degenerate Fermi gas strongly coupled to photons in a optical cavity. The elementary photonic excitations of the system are cavity polaritons, which consist of a…

We theoretically investigate the isothermal compressibility $\kappa_{T}$ in the normal state of an ultracold Fermi gas. Including pairing fluctuations, as well as preformed-pair formations, within the framework of the self-consistent…

Quantum Gases · Physics 2022-09-09 Daichi Kagamihara , Ryohei Sato , Koki Manabe , Hiroyuki Tajima , Yoji Ohashi

Pairing effects manifests themselves in many aspects in nuclear systems ranging from finite nuclei to nuclear matter and compact stars. Although with some specific features for nuclear systems, the mechanism of pairing between nucleons in…

Nuclear Theory · Physics 2024-02-07 Xiang-Xiang Sun , Shan-Gui Zhou

Cooper quartets represent exotic fermion aggregates describing correlated matter at the basis of charge-$4e$ superconductivity and offer a platform for studying four-body interactions, of interest for topologically protected quantum…

Mesoscale and Nanoscale Physics · Physics 2024-10-08 Luca Chirolli , Alessandro Braggio , Francesco Giazotto

This thesis presents a set of studies on atomic systems where quantum effects are particularly relevant. These studies have been developed by applying a variety of tools from many-body physics. First of all, we have studied the prospects…

Other Condensed Matter · Physics 2023-04-03 Jordi Mur-Petit

Cooper pairing in two dimensions is analyzed with a set of renormalized equations to determine its binding energy for any fermion number density and all coupling assuming a generic pairwise residual interfermion interaction. \ Also…

Superconductivity · Physics 2016-08-15 S. K. Adhikari , M. Casas , A. Puente , A. Rigo , M. Fortes , M. A. Solís , M. de Llano , A. A. Valladares , O. Rojo
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