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We study the condensed phase of a Bose-Fermi mixture with a tunable pairing interaction between bosons and fermions with many-body diagrammatic methods and fixed-node diffusion Quantum Monte Carlo simulations. A universal behavior of the…

Quantum Gases · Physics 2015-02-10 Andrea Guidini , Gianluca Bertaina , Davide Emilio Galli , Pierbiagio Pieri

We study the problem of deterministic approximate counting of matchings and independent sets in graphs of bounded connective constant. More generally, we consider the problem of evaluating the partition functions of the monomer-dimer model…

Data Structures and Algorithms · Computer Science 2014-10-10 Alistair Sinclair , Piyush Srivastava , Daniel Štefankovič , Yitong Yin

We present a comprehensive study shedding light on how thermal fluctuations affect correlations in a Bose gas with contact repulsive interactions in one spatial dimension. The pair correlation function, the static structure factor, and the…

Quantum Gases · Physics 2023-04-10 Giulia De Rosi , Riccardo Rota , Grigori E. Astrakharchik , Jordi Boronat

The pairing of fermionic atoms in a mixture of atomic fermion and boson gases at zero temperature is investigated. The attractive interaction between fermions, that can be induced by density fluctuations of the bosonic background, can give…

Quantum Gases · Physics 2015-05-30 F. Matera , A. Dellafiore

We develop a dynamic mean-field theory for polar active particles that interact through a self-generated field, in particular one generated through emitting a chemical signal. While being a form of chemotactic response, it is different from…

Statistical Mechanics · Physics 2020-01-15 Andreas Fischer , Friederike Schmid , Thomas Speck

We study ground-state properties of interacting two-component boson gases in a one-dimensional harmonic trap by using the exact numerical diagonalization method. Based on numerical solutions of many-body Hamiltonians, we calculate the…

Strongly Correlated Electrons · Physics 2009-02-09 Yajiang Hao , Shu Chen

Due to the vast growth of the many-body level density with excitation energy, its smoothed form is of central relevance for spectral and thermodynamic properties of interacting quantum systems. We compute the cumulative of this level…

Quantum Gases · Physics 2019-06-26 Quirin Hummel , Juan Diego Urbina , Klaus Richter

The necessity of accurately taking into account the existence of nonequivalent operator representations, associated with canonical transformations, is discussed. It is demonstrated that Bose systems in the presence of the Bose-Einstein…

Statistical Mechanics · Physics 2009-11-11 V. I. Yukalov

Recently it has been suggested that relativistic Bose gas of some type can be playing role in issues like dark matter, dark energy, and in some cosmological problems. In the current article we investigate one known exactly solvable model of…

Statistical Mechanics · Physics 2020-08-26 Daniel Dantchev

We clarify basic properties of an effective action (i.e., self-consistent perturbation expansion) for interacting Bose-Einstein condensates, where field $\psi$ itself acquires a finite thermodynamic average $\langle \psi\rangle$ besides…

Quantum Gases · Physics 2014-05-22 Takafumi Kita

We propose a microscopic approach describing the interaction of an ideal gas of hydrogenlike atoms with a weak electromagnetic field. This approach is based on the Green-function formalism and an approximate formulation of the method of…

Statistical Mechanics · Physics 2009-01-19 Yurii Slyusarenko , Andrii Sotnikov

We discuss impurities in a one-dimensional Bose gas with arbitrary boson-boson and boson-impurity interactions. To fully account for quantum effects, we employ numerical simulations based on the density-matrix renormalization group (DMRG)…

Quantum Gases · Physics 2025-02-27 Dennis Breu , Eric Vidal Marcos , Martin Will , Michael Fleischhauer

We discuss the effect of a molecular Bose condensate on the energy of Fermi excitations in a trapped two-component atomic Fermi gas. The single-particle Green's functions can be approximated by the well-known BCS form, in both the BCS…

Soft Condensed Matter · Physics 2016-08-31 Y. Ohashi , A. Griffin

Thermodynamical properties of an interacting boson system at finite temperatures and zero chemical potential are studied within the framework of the Skyrme-like mean-field toy model. It is assumed that the mean field contains both…

Nuclear Theory · Physics 2019-02-20 D. Anchishkin , I. Mishustin , H. Stoecker

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

By using exact Path Integral Monte Carlo methods we calculate the equation of state of an interacting Bose gas as a function of temperature both below and above the superfluid transition. The universal character of the equation of state for…

Other Condensed Matter · Physics 2013-08-09 S. Pilati , K. Sakkos , J. Boronat , J. Casulleras , S. Giorgini

Two basic correlation functions are calculated for a model of $N$ harmonically interacting identical particles in a parabolic potential well. The density and the pair correlation function of the model are investigated for the boson case.…

Statistical Mechanics · Physics 2009-10-30 F. Brosens , J. T. Devreese , L. F. Lemmens

We study the interplay between few- and many-body physics in Bose gases near resonance. The effect of condensates on the two-body running coupling constant is investigated via imposing a boundary condition on a self-consistent…

Quantum Gases · Physics 2013-04-12 Fei Zhou , Mohammad S. Mashayekhi

We study the occurrence of a Bose-Einstein transition in a dilute gas with repulsive interactions, starting from temperatures above the transition temperature. The formalism, based on the use of Ursell operators, allows us to evaluate the…

Statistical Mechanics · Physics 2007-05-23 M. Holzmann , P. Gruter , F. Laloe

We derive an expression for the superfluid density of a uniform two-component Fermi gas through the BCS-BEC crossover in terms of the thermodynamic potential in the presence of an imposed superfluid flow. Treating the pairing fluctuations…

Other Condensed Matter · Physics 2008-12-12 E. Taylor , A. Griffin , N. Fukushima , Y. Ohashi