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In this work, we describe the dynamics of a Bose-Einstein condensate interacting with a degenerate Fermi gas, at zero temperature. First, we analyze the mean-field approximation of the many-body Schr\"odinger dynamics and prove emergence of…

Mathematical Physics · Physics 2025-07-04 Esteban Cárdenas , Joseph K. Miller , Nataša Pavlović

The resonating mean-field theory (Res-MFT) has been applied and shown to effectively describe two-gap superconductivity (SC). Particularly at T=0 using a suitable chemical potential, the two-gap SC in MgB2 has been well described by the…

Superconductivity · Physics 2015-06-11 Seiya Nishiyama , Joao da Providencia , Constanca Providencia , Hiromasa Ohnishi

While Hartree-Fock theory is well established as a fundamental approximation for interacting fermions, it has been unclear how to describe corrections to it due to many-body correlations. In this paper we start from the Hartree-Fock state…

Mathematical Physics · Physics 2020-04-13 Niels Benedikter , Phan Thành Nam , Marcello Porta , Benjamin Schlein , Robert Seiringer

We employ the constrained density functional theory to investigate cluster phenomena for the $^{12}$C nucleus. The proton and neutron densities are generated from the placement of three $^{4}$He nuclei (alpha particles) geometrically. These…

Nuclear Theory · Physics 2023-06-28 A. S. Umar , K. Godbey , C. Simenel

The Schrieffer-Wolff (SW) method is a version of degenerate perturbation theory in which the low-energy effective Hamiltonian H_{eff} is obtained from the exact Hamiltonian by a unitary transformation decoupling the low-energy and…

Quantum Physics · Physics 2015-05-28 Sergey Bravyi , David DiVincenzo , Daniel Loss

Spectroscopic properties of low-lying states and cluster structures in $^{12}$C are analyzed in a "beyond mean-field framework" based on global energy density functionals (EDFs). To build symmetry-conserving collective states,…

Nuclear Theory · Physics 2019-03-20 Petar Marević , Jean-Paul Ebran , Elias Khan , Tamara Nikšić , Dario Vretenar

We present an innovative cluster-based method employing linear combinations of diverse cluster mean-field (cMF) states, and apply it to describe the ground state of strongly-correlated spin systems. In cluster mean-field theory, the ground…

Strongly Correlated Electrons · Physics 2024-05-03 Athanasios Papastathopoulos-Katsaros , Thomas M. Henderson , Gustavo E. Scuseria

We introduce coupled-cluster (CC) theory for the numerical study of the normal state of two-component, dilute Fermi gases with attractive, short-range interactions at zero temperature. We focus on CC theory with double excitations (CCD) and…

Quantum Gases · Physics 2022-09-12 James M. Callahan , John Sous , Timothy C. Berkelbach

The superfluid phases in the resonant dipolar Fermi gases are investigated by the standard mean-field theory. In contrast to the crossover from Bose-Einstein condensation (BEC) to Bardeen-Cooper-Schrieffer (BCS) superfluid in the Fermi…

Quantum Gases · Physics 2013-05-30 T. Shi , S. -H. Zou , H. Hu , C. -P. Sun , S. Yi

We present a generalized extension of the recently developed electron/hole-transfer Dynamically-weighted State-Averaged Constrained CASSCF (eDSC/hDSC) method to model charge transfer in the presence of spin-orbit coupling (SOC) for systems…

Chemical Physics · Physics 2026-02-13 Alok Kumar , Zhen Tao , Joseph E. Subotnik , Tian Qiu

We find a novel chiral superfluid (CSF) phase in a one-dimensional Bose-Fermi Hubbard model with significant mass and density imbalance between the two species. In the CSF phase, bosons condensate at non-zero momentum $\pm 2\pi /L$ with…

Quantum Gases · Physics 2025-02-13 Qi Song , Jie Lou , Yan Chen

The cluster-based Mean Field method (cMF) and it's second order perturbative correction[1], was introduced by Jim\'enez-Hoyos and Scuseria to reduce the cost of modeling strongly correlated systems by dividing an active space up into small…

Chemical Physics · Physics 2024-06-14 Arnab Bachhar , Nicholas J. Mayhall

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

We develop a mean-field theory for Bose-Einstein condensation of spin-1 atoms with internal degrees of freedom. It is applicable to nonuniform systems at finite temperatures with a plausible feature of satisfying the Hugenholtz-Pines…

Statistical Mechanics · Physics 2009-11-11 Yoshiyuki Kondo , Takafumi Kita

We apply the functional path-integral approach to analyze how the presence of a spin-orbit coupling (SOC) affects the basic properties of a BCS-type paired state in a two-component Bose gas. In addition to a mean-field theory that is based…

Quantum Gases · Physics 2020-01-09 M. Iskin

We present a self-consistent field theory (SCFT) study of spherical micelle formation in a blend of poly(styrene-butadiene) diblocks and homopolystyrene. The micelle core radii, corona thicknesses and critical micelle concentrations are…

Soft Condensed Matter · Physics 2011-06-28 M. J. Greenall , D. M. A. Buzza , T. C. B. McLeish

A systematic diagrammatic expansion for Gutzwiller-wave functions (DE-GWF) proposed very recently is used for the description of superconducting (SC) ground state in the two-dimensional square-lattice $t$-$J$ model with the hopping electron…

Strongly Correlated Electrons · Physics 2014-07-22 J. Kaczmarczyk , J. Bünemann , J. Spałek

Multicomponent quantum gases are ideal platforms to study fundamental phenomena arising from the mutual interaction between different constituents. Particularly, due to the repulsive interactions between two species, the system may exhibit…

The formalism based on Correlated Basis Functions (CBF) and the cluster-expansion technique has been recently employed to derive an effective interaction from a realistic nuclear Hamiltonian. One of the main objectives of the work described…

Nuclear Theory · Physics 2016-03-08 Angela Mecca

We present a mathematical analysis of the spin-constrained Hartree-Fock solutions (CHF) of the 2-site Hubbard model. The analysis sheds light on the spin symmetry breaking process around the Coulson-Fischer point. CHF states are useful as…

Strongly Correlated Electrons · Physics 2023-01-20 Stijn De Baerdemacker , Amir Ayati , Hugh G. A. Burton , Xeno De Vriendt , Patrick Bultinck , Guillaume Acke