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The pion superfluidity phase transition at $T-\mu_I$ and $\mu_q-\mu_I$ planes are studied in the framework of Dyson-Schwinger equations. The rainbow truncation and Gaussian effective gluon propagator are employed to calculate pion…

High Energy Physics - Phenomenology · Physics 2021-11-01 Shu-Sheng Xu

In this paper, we study O(2N)-symmetric $\phi^4$-theory at finite temperature and density using the 2PI-1/N expansion. As specific examples, we consider pion condensation at finite isospin chemical potential and kaon condensation at finite…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jens O. Andersen

Finite isospin chemical potential $\mu_I$ and temperature $T$ have been introduced in the framework of soft-wall AdS/QCD model. By self-consistently solve the equation of motion, we obtain the phase boundary of pion condensation phase,…

High Energy Physics - Phenomenology · Physics 2020-01-08 Meng Lv , Danning Li , Song He

Recent experiments with cold atoms on the impurity motion in one-dimensional liquids of interacting bosons have revealed an interesting interplay between the polaronic impurity mass shift and the renormalization of the optical potential. We…

Quantum Gases · Physics 2015-06-11 Julius Bonart , Leticia F. Cugliandolo

With the integral representation of Bose functions, the Bose-Einstein condensation of non-interacting bosons in a three-dimensional harmonic trap was studied. The relation between the particle number and its phase transition temperature was…

Statistical Mechanics · Physics 2015-06-25 Sang-Hoon Kim

In contrast to the case of non-zero baryon chemical potential, the isospin chemical potential does not introduce a sign problem and can be simulated on the lattice. When the isospin chemical potential is large enough, a phase transition to…

High Energy Physics - Lattice · Physics 2025-02-10 Rocco Francesco Basta , Bastian B. Brandt , Francesca Cuteri , Gergely Endrődi , Owe Philipsen

We derive exact renormalization-group equations for the $n$-point vertices ($n=0,1,2,\cdots$) of interacting single-component Bose-Einstein condensates based on the vertex expansion of the effective action. They have a notable feature of…

Quantum Gases · Physics 2019-04-19 Takafumi Kita

We investigate the interaction effect between atoms and the finite size effect of a Bose-Einstein gas at finite temperature. Using a mean field approach, we derive the thermodynamic potential on finite systems and obtain the condensate…

Statistical Mechanics · Physics 2007-05-23 Makoto Hiramoto

We develop a Bose fluid model in a confined potential to consider the new quantum phase due to the localization of Bose-Einstein condensation and disappearance of superfluidity which is recently observed in liquid 4He in porous glass at…

Disordered Systems and Neural Networks · Physics 2009-11-11 Michikazu Kobayashi , Makoto Tsubota

We calculate the zero-temperature phase diagram of the disordered Bose-Hubbard model in one dimension using the density matrix renormalization group. For integer filling the Mott insulator is always separated from the superfluid by a Bose…

Condensed Matter · Physics 2009-10-31 S. Rapsch , U. Schollwoeck , W. Zwerger

Low temperature properties of harmonically confined two-dimensional assemblies of dipolar bosons are systematically investigated by Monte Carlo simulations. Calculations carried out for different numbers of particles and strengths of the…

Statistical Mechanics · Physics 2013-05-29 Piyush Jain , Fabio Cinti , Massimo Boninsegni

We investigate the finite temperature expectation values of the charge and current densities for a complex scalar field with nonzero chemical potential in background of a flat spacetime with spatial topology $R^{p}\times (S^{1})^{q}$. Along…

High Energy Physics - Theory · Physics 2013-03-26 E. R. Bezerra de Mello , A. A. Saharian

Deriving accurate energy density functional is one of the central problems in condensed matter physics, nuclear physics, and quantum chemistry. We propose a novel method to deduce the energy density functional by combining the idea of the…

Strongly Correlated Electrons · Physics 2018-03-01 Haozhao Liang , Yifei Niu , Tetsuo Hatsuda

We investigate the thermodynamic geometry of the quark-meson model at finite temperature, $T$, and quark number chemical potential, $\mu$. We extend previous works by the inclusion of fluctuations exploiting the functional renormalization…

High Energy Physics - Phenomenology · Physics 2023-12-04 Fabrizio Murgana , Vincenzo Greco , Marco Ruggieri , Dario Zappalà

The influence of a weak random potential on the collective modes of a trapped interacting Bose-Einstein condensate at zero temperature is calculated in the limit when the correlation length of the disorder is smaller than the healing length…

Other Condensed Matter · Physics 2010-02-05 G. M. Falco , A. Pelster , R. Graham

We employ the functional renormalization group flow equations to investigate the phase structure of the two-flavor quark-meson model in the presence of a finite isospin chemical potential, incorporating interactions with omega and rho…

High Energy Physics - Phenomenology · Physics 2025-06-10 Mohammed Osman , Defu Hou , Wentao Wang , Hui Zhang

We analyze the thermodynamic limit - modeled as the open-trap limit of an isotropic harmonic potential - of an ideal, non-relativistic Bose gas with a special emphasis on the phenomenon of Bose-Einstein condensation. This is accomplished by…

Mathematical Physics · Physics 2022-12-07 Daniel Alexander Weiss

We use the Polyakov-loop extended two-flavor quark-meson model as a low-energy effective model for QCD to study the phase diagram in the $\mu_I$--$T$ plane where $\mu_I$ is the isospin chemical potential. In particular, we focus on the Bose…

High Energy Physics - Phenomenology · Physics 2018-10-24 Prabal Adhikari , Jens O. Andersen , Patrick Kneschke

The functional renormalization group method is used to take into account the vacuum polarization around localized bound states generated by external potential. The application to Atomic Physics leads to improved Hartree-Fock and Kohn-Sham…

Strongly Correlated Electrons · Physics 2007-05-23 Janos Polonyi

We study the critical behavior of Bose-Einstein condensation in the second band of a bipartite optical square lattice in a renormalization group framework at one-loop order. Within our field theoretical representation of the system, we…

Quantum Gases · Physics 2018-02-02 Junichi Okamoto , Wen-Min Huang , Robert Höppner , Ludwig Mathey