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We consider a system of three particles, either three identical bosons or two identical fermions plus an impurity, within a three-dimensional isotropic trap interacting via a contact interaction. Using two approaches, one using an infinite…

Quantum Gases · Physics 2024-05-03 A. D. Kerin , A. M. Martin

We investigate the zero-temperature BCS to Bose-Einstein crossover at the mean-field level, by driving it with the attractive potential and the particle density.We emphasize specifically the role played by the particle density in this…

Superconductivity · Physics 2009-10-31 N. Andrenacci , A. Perali , P. Pieri , G. C. Strinati

Using perturbative methods we derive new results for the spectrum and correlation functions of the general Z_3-chiral Potts quantum chain in the massive low-temperature phase. Explicit calculations of the ground state energy and the first…

High Energy Physics - Theory · Physics 2009-10-22 N. S. Han , A. Honecker

We investigate the elementary excitations of charge and spin degrees for the 1D interacting two-component Bose and Fermi gases by means of the discrete Bethe ansatz equations. Analytic results in the limiting cases of strong and weak…

Statistical Mechanics · Physics 2007-05-23 M. T. Batchelor , M. Bortz , X. W. Guan , N. Oelkers

The temperature dependence of Tan's contact parameter $C$ and its derivatives for spin gapped quantum magnets are investigated. We use the paradigm of Bose-Einstein condensation (BEC) to describe the low temperature properties of…

Quantum Gases · Physics 2021-11-02 Abdulla Rakhimov , Tolib Abdurakhmonov , Bilal Tanatar

The Quantum Heisenberg Ferromagnet can be naturally reformulated in terms of interacting bosons (called spin waves or magnons) as an expansion in the inverse spin size. We calculate the first order interaction correction to the free energy,…

Mathematical Physics · Physics 2017-03-08 Niels Benedikter

We develop finite temperature strong coupling expansions for the SU(N) Hubbard Model in powers of $\beta t$, $w=\exp{(-\beta U)}$ and ${1\over \beta U}$ for arbitrary filling. The expansions are done in the grand canonical ensemble and are…

Strongly Correlated Electrons · Physics 2022-08-04 Rajiv R. P. Singh , Jaan Oitmaa

We investigate the low temperature thermodynamics and correlation functions of one-dimensional spin-1/2 fermions with strong repulsion in an external magnetic field via the thermodynamic Bethe ansatz method. The exact thermodynamics of the…

Quantum Gases · Physics 2013-05-16 J. Y. Lee , X. W. Guan , K. Sakai , M. T. Batchelor

By the Bethe ansatz method we study the energy dispersion of a particle interacting by a local interaction with fermions (or hard core bosons) of equal mass in a one dimensional lattice. We focus on the period of the Bloch oscillations…

Strongly Correlated Electrons · Physics 2010-12-09 X. Zotos

We study a dilute and ultracold Bose gas of interacting atoms by using an effective field theory which takes account finite-range effects of the inter-atomic potential. Within the formalism of functional integration from the grand canonical…

Quantum Gases · Physics 2017-04-06 A. Cappellaro , L. Salasnich

We study Gaussian fluctuations of the zero-temperature attractive Fermi gas in the 2D BCS-BEC crossover showing that they are crucial to get a reliable equation of state in the BEC regime of composite bosons, bound states of fermionic…

Quantum Gases · Physics 2015-01-27 L. Salasnich , F. Toigo

We consider one dimensional interacting bose-fermi mixture with equal masses of bosons and fermions, and with equal and repulsive interactions between bose-fermi and bose-bose particles. Such a system can be realized in current experiments…

Strongly Correlated Electrons · Physics 2007-05-23 Adilet Imambekov , Eugene Demler

Recently, G\"ohmann, Kl\"umper and Seel have derived novel integral formulas for the correlation functions of the spin-1/2 Heisenberg chain at finite temperature. We have found that the high temperature expansion (HTE) technique can be…

Statistical Mechanics · Physics 2007-05-23 Zengo Tsuboi , Masahiro Shiroishi

We study the thermodynamics of ideal Bose gas as well as the transport properties of non interacting bosons and fermions in a one dimensional quasi-periodic potential, namely Aubry-Andr\'e (AA) model at finite temperature. For bosons in…

Quantum Gases · Physics 2018-05-08 Nilanjan Roy , S. Sinha

The high-temperature series expansion for quantum spin models is a well-established tool to compute thermodynamic quantities and equal-time spin correlations, in particular for frustrated interactions. We extend the scope of this expansion…

Strongly Correlated Electrons · Physics 2026-02-06 Ruben Burkard , Benedikt Schneider , Björn Sbierski

Our goal is to understand the phenomena arising in optical lattice fermions at low temperature in an external magnetic field. Varying the field, the attraction between any two fermions can be made arbitrarily strong, where composite bosons…

Quantum Gases · Physics 2018-10-17 Hagen Kleinert , She-Sheng Xue

We consider the problem of the crossover from BCS superconductivity to Bose-Einstein condensation in three dimensions for a system of fermions with an attractive interaction, for which we adopt the simplifying assumption of a suitably…

Superconductivity · Physics 2009-10-31 P. Pieri , G. C. Strinati

We investigate the zero-temperature quasiparticle properties of a mobile impurity immersed in a strongly interacting Fermi superfluid at the crossover from a Bose-Einstein condensate (BEC) to a Bardeen--Cooper--Schrieffer (BCS) superfluid,…

Quantum Gases · Physics 2022-02-18 Hui Hu , Jia Wang , Jing Zhou , Xia-Ji Liu

We study two-body correlations in a spin-balanced ultracold harmonically trapped Fermi gas of $^6$Li atoms in the crossover from the Bardeen-Cooper-Schrieffer (BCS) to the Bose-Einstein-Condensate (BEC) regime. For this, we precisely…

Quantum Gases · Physics 2023-10-02 Manuel Jäger , Johannes Hecker Denschlag

We investigate Bose-Einstein condensation for interacting bosons at zero and nonzero temperature. Functional renormalization provides us with a consistent method to compute the effect of fluctuations beyond the Bogoliubov approximation. For…

Superconductivity · Physics 2009-01-28 S. Floerchinger , C. Wetterich