Exact analysis of a δ-function spin-1/2 attractive Fermi gas with arbitrary polarization

DOI10.1088/1742-5468/2007/06/P06011zbMath1456.82273OpenAlexW2003076063MaRDI QIDQ5239364

Toshiaki Iida, Miki Wadati

Publication date: 22 October 2019

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1742-5468/2007/06/p06011

zbMATH Keywords

quantum integrability (Bethe ansatz)

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Quantum equilibrium statistical mechanics (general) (82B10) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (6)

Complex Langevin and other approaches to the sign problem in quantum many-body physics ⋮ Love--Lieb Integral Equations: Applications, Theory, Approximations, and Computations ⋮ On the Ground State Energy of the Delta-function Fermi Gas II: Further Asymptotics ⋮ Ground state energy of the δ-Bose and Fermi gas at weak coupling from double extrapolation ⋮ On the ground state energy of the delta-function Fermi gas ⋮ Resurgence for superconductors

Cites Work

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• BCS-BEC crossover in one-dimensional integrable model
• Asymptotics of the capacity of a condenser with plates of an arbitrary shape
• Ground State Energy of the One-Dimensional Electron System with Short-Range Interaction. I
• Relationship between Systems of Impenetrable Bosons and Fermions in One Dimension
• Thermodynamics of One-Dimensional Solvable Models
• Solutions of the Yang–Yang Integral Equation at Zero-Temperature
• Thermodynamics of a One-Dimensional System of Bosons with Repulsive Delta-Function Interaction
• Solutions of the Lieb–Liniger Integral Equation
• Exact Analysis of δ-Function Attractive Fermions and Repulsive Bosons in One-Dimension
• Interacting Fermions in One Dimension. I. Repulsive Potential
• Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
• Exact Analysis of an Interacting Bose Gas. II. The Excitation Spectrum
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
• Theory of Ferromagnetism and the Ordering of Electronic Energy Levels
• THE ELECTROSTATIC FIELD OF TWO EQUAL CIRCULAR CO-AXIAL CONDUCTING DISKS

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