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We generalize our recently developed super-field functional renormalization group (RG) method involving both Fermi and Bose fields [F. Schuetz, L. Bartosch, and P. Kopietz, Phys. Rev. B 72, 035105 (2005)] to include the possibility that…

Strongly Correlated Electrons · Physics 2007-05-23 Florian Schuetz , Peter Kopietz

We improve the recently developed functional renormalization group (fRG) for impurities and boundaries in Luttinger liquids by including renormalization of the two-particle interaction, in addition to renormalization of the impurity…

Strongly Correlated Electrons · Physics 2007-05-23 S. Andergassen , T. Enss , V. Meden , W. Metzner , U. Schollwoeck , K. Schoenhammer

We calculate the density profiles and density correlation functions of the one-dimensional Bose gas in a harmonic trap, using the exact finite-temperature solutions for the uniform case, and applying a local density approximation. The…

Statistical Mechanics · Physics 2009-11-11 K. V. Kheruntsyan , D. M. Gangardt , P. D. Drummond , G. V. Shlyapnikov

We develop a semi-classical field method for the study of the weakly interacting Bose gas at finite temperature, which, contrarily to the usual classical field model, does not suffer from an ultraviolet cut-off dependence. We apply the…

Other Condensed Matter · Physics 2009-11-13 Luca Giorgetti , Iacopo Carusotto , Yvan Castin

Motivated by recent surprising experimental findings, we develop a strong-coupling theory for Bose-Fermi mixtures capable of treating resonant inter-species interactions while satisfying the compressibility sum rule. We show that the…

Quantum Gases · Physics 2024-02-13 Xin Shen , Nir Davidson , Georg M. Bruun , Mingyuan Sun , Zhigang Wu

We investigate magnetic properties of strongly interacting bosonic mixtures confined in one dimensional geometries, focusing on recently realized Rb-K gases with tunable interspecies interactions. By combining analytical perturbation theory…

Quantum Gases · Physics 2013-03-26 M. Dalmonte , E. Ercolessi , M. Mattioli , F. Ortolani , D. Vodola

The emergence of a Bose-glass region in a quasi one-dimensional Bose-Einstein-condensed gas in a harmonic trapping potential with an additional delta-correlated disorder potential at zero temperature is studied using three approaches. At…

Quantum Gases · Physics 2016-06-03 Tama Khellil , Antun Balaz , Axel Pelster

We consider a three-dimensional weakly interacting Bose gas in the fluctuation region (and its vicinity) of the normal-superfluid phase transition point. We establish relations between basic thermodynamic functions: density, $n(T,\mu)$,…

Superconductivity · Physics 2007-05-23 Nikolay Prokof'ev , Oliver Ruebenacker , Boris Svistunov

The weak coupling many-polaron formalism is applied to the case of the polaronic system consisting of impurities in a Bose-Einstein condensate. This allows to investigate the groundstate properties and the response of the system to Bragg…

Quantum Gases · Physics 2012-10-02 W. Casteels , J. Tempere , J. T. Devreese

We investigate the effects of finite-range interatomic interactions on the equation of state (EoS) of a weakly interacting Bose gas. Within the Cornwall-Jackiw-Tomboulis effective action approach, we show that finite-range effects influence…

Quantum Physics · Physics 2026-05-22 Pham Duy Thanh , Nguyen Van Thu

We rigorously discuss the large-$N$ thermodynamics of a Bose gas with a short-range two-body potential. Considering the system as a mixture of $N$ identical components with symmetrical interaction we calculated numerically the temperature…

Quantum Gases · Physics 2018-12-26 Orest Hryhorchak , Volodymyr Pastukhov

An impurity in a Bose gas is commonly referred to as Bose polaron. For a dilute Bose gas its properties are expected to be universal, that is dependent only on a few parameters characterizing the boson-impurity interactions. When…

Quantum Gases · Physics 2022-09-12 Nikolay Yegovtsev , Pietro Massignan , Victor Gurarie

Correlation functions related to the dynamic density response of the one-dimensional Bose gas in the model of Lieb and Liniger are calculated. An exact Bose-Fermi mapping is used to work in a fermionic representation with a pseudopotential…

Statistical Mechanics · Physics 2007-05-23 Alexander Yu. Cherny , Joachim Brand

We consider a system of interacting bosons in one dimension at a two-body resonance. This system, which is weakly interacting, is known to give rise to effective three-particle interactions, whose dynamics is similar to that of a…

Quantum Gases · Physics 2019-05-22 Manuel Valiente , Volodymyr Pastukhov

We employ the functional renormalization group to study dynamical properties of the two-dimensional Bose gas. Our approach is free of infrared divergences, which plague the usual diagrammatic approaches, and is consistent with the exact…

Other Condensed Matter · Physics 2011-12-05 Andreas Sinner , Nils Hasselmann , Peter Kopietz

We study the low-temperature thermodynamics of weakly-interacting uniform liquids in one-dimensional attractive Bose-Bose mixtures.~The Bogoliubov approach is used to simultaneously describe quantum and thermal fluctuations. First, we…

Quantum Gases · Physics 2021-04-13 Giulia De Rosi , Grigori E. Astrakharchik , Pietro Massignan

We investigate the formation of self-bound states in a one-dimensional dipolar Bose gas under the influence of both strong short-range repulsive and strong non-local attractive interactions. While conventional methods like the Bogoliubov…

Quantum Gases · Physics 2025-06-30 B. Tüzemen , M. Marciniak , K. Pawłowski

We rigorously analyze the low-temperature properties of homogeneous three-dimensional two-component Bose mixture with dipole-dipole interaction. For such a system the effective hydrodynamic action that governs the behavior of low-energy…

Quantum Gases · Physics 2017-02-22 Volodymyr Pastukhov

We discuss an equilibrium mean-field properties of mixtures consisting of bosons and spin-polarized fermionic atoms with a point-like interaction in an arbitrary dimension $2<d<4$. Particularly, we discuss except the standard weak-coupling…

Quantum Gases · Physics 2023-05-10 O. Hryhorchak , V. Pastukhov

Highly unconventional behavior of the thermodynamic response functions has been experimentally observed in a narrow gap semiconductor samarium hexaboride. Motivated by these observations, we use renormalization group technique to…

Strongly Correlated Electrons · Physics 2021-07-21 Suman Raj Panday , Maxim Dzero