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We study the thermostatistics of q-deformed bosons and fermions obeying the symmetric algebra and show that it can be built on the formalism of q-calculus. The entire structure of thermodynamics is preserved if ordinary derivatives are…

Statistical Mechanics · Physics 2009-11-07 A. Lavagno , P. Narayana Swamy

Using numerical methods, we study the formation of self-bound quantum Bose-Fermi droplets at nonzero temperatures. We describe an attractive atomic Bose-Fermi mixture using quantum hydrodynamics enriched by beyond-mean-field corrections and…

Quantum Gases · Physics 2026-02-24 Maciej Lewkowicz , Mirosław Brewczyk , Mariusz Gajda , Tomasz Karpiuk

Bose-Fermion pair correlations in a mixture are considered at zero temperature in the T-matrix approximation. Special attention is paid to the Luttinger theorem. In a strict RPA variant of the Nozieres-Schmitt-Rink approach, it is shown…

Quantum Gases · Physics 2013-09-04 T. Sogo , P. Schuck , M. Urban

We consider atomistic geometry relaxation in the context of linear tight binding models for point defects. A limiting model as Fermi-temperature is sent to zero is formulated, and an exponential rate of convergence for the nuclei…

Mathematical Physics · Physics 2020-04-14 Christoph Ortner , Jack Thomas

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 present a detailed study of the low-lying collective excitations of a spherically trapped Bose-Fermi mixture at finite temperature in the collisionless regime. The excitation frequencies of the condensate are calculated self-consistently…

Soft Condensed Matter · Physics 2007-05-23 Xia-Ji Liu , Hui Hu

A two component model of negative U centers coupled with the Fermi sea of itinerant fermions is discussed in connection with high-temperature superconductivity of cuprates, and superfluidity of atomic fermions. We examine the phase…

Superconductivity · Physics 2009-11-10 A. S. Alexandrov

Equations are obtained for the quantum distribution functions over discrete states in systems of non-interacting fermions and bosons with an arbitrary, including small, number of particles. The case of systems with two levels is considered…

Quantum Physics · Physics 2024-05-07 Yu. M. Poluektov , A. A. Soroka

We study both Bose and Fermi gases at finite temperature and density in an approximation that sums an infinite number of many body processes that are reducible to 2-body scatterings. This is done for arbitrary negative scattering length,…

Quantum Gases · Physics 2013-05-30 Andre LeClair , Edgar Marcelino , Andre Nicolai , Itzhak Roditi

We present a quantitative finite temperature analysis of a recent experiment with Bose-Fermi mixtures in optical lattices, in which the dependence of the coherence of bosons on the inter-species interaction was analyzed. Our theory…

Quantum Gases · Physics 2013-05-29 M. Cramer

We investigate the mechanical instability toward density collapse and the transition temperature of Bose-Einstein condensation in the weakly coupled boson-fermion many-body mixture of single-component boson and fermion gases, in the case of…

Quantum Gases · Physics 2015-06-23 Kyoko Shirasaki , Eiji Nakano , Hiroyuki Yabu

The main features of a generic boson-fermion scenario for electron pairing in a many-body correlated fermionic system are: i) a cross-over from a poor metal to an insulator and finally a superconductor as the temperature decreases, ii) the…

Superconductivity · Physics 2009-11-10 M. Cuoco , C. Noce , J. Ranninger , A. Romano

The exact solution of the 1D interacting mixed Bose-Fermi gas is used to calculate ground-state properties both for finite systems and in the thermodynamic limit. The quasimomentum distribution, ground-state energy and generalized…

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

We examine the role of thermal fluctuations in uniform two-dimensional binary Bose mixtures of dilute ultracold atomic gases. We use a mean-field Hartree-Fock theory to derive analytical predictions for the miscible-immiscible transition. A…

Quantum Gases · Physics 2021-02-19 Arko Roy , Miki Ota , Alessio Recati , Franco Dalfovo

We introduce the boson and the fermion point processes from the elementary quantum mechanical point of view. That is, we consider quantum statistical mechanics of canonical ensemble for a fixed number of particles which obey Bose-Einstein,…

Mathematical Physics · Physics 2007-05-23 H. Tamura , K. R. Ito

In the mean-field approximation, a trapped Bose-Einstein condensate at zero temperature is described by the Gross-Pitaevskii equation for the condensate, or equivalently, by the hydrodynamic equations for the number density and the current…

Condensed Matter · Physics 2009-10-31 Jens O. Andersen , Eric Braaten

We show that an ansatz based on independent composite bosons [Phys. Rep. 463, 215 (2008)] accurately describes the condensate fraction of molecular Bose-Einstein condensates in ultracold Fermi gases. The entanglement between the fermionic…

Quantum Gases · Physics 2017-02-22 P. Alexander Bouvrie , Malte C. Tichy , Itzhak Roditi

We study the finite temperature phases and collective excitations of hardcore as well as softcore bosons on a square lattice with nearest and next nearest neighbor interactions, focusing on the formation of various types of supersolid (SS)…

Quantum Gases · Physics 2023-05-09 Manali Malakar , Sudip Sinha , S. Sinha

We investigate collective excitations of density fluctuations and a dynamic density structure factor in a mixture of Bose and Fermi gases in a normal phase. With decreasing temperature, we find that the frequency of the collective…

Quantum Gases · Physics 2019-05-07 Y. Asano , M. Narushima , S. Watabe , T. Nikuni

A remarkable thermodynamic fermion-boson symmetry is found for the canonical ensemble of ideal quantum gases in harmonic oscillator potentials of odd dimensions. The bosonic partition function is related to the fermionic one extended to…

Statistical Mechanics · Physics 2015-06-25 H. -J. Schmidt , J. Schnack
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