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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…

统计力学 · 物理学 2015-06-25 Sang-Hoon Kim

We investigate the chaoticity parameter $\lambda$ in two-pion interferometry in an expanding boson gas model. The degree of Bose-Einstein condensation of identical pions, density distributions, and Hanbury-Brown-Twiss (HBT) correlation…

核理论 · 物理学 2014-10-17 Jie Liu , Peng Ru , Wei-Ning Zhang , Cheuk-Yin Wong

We explore the localization of a quasi-one-, quasi-two-, and three-dimensional ultra-cold gas by a finite-range defect along the corresponding 'free'-direction/s. The time-independent non-linear Schroedinger equation that describes a…

原子物理 · 物理学 2012-02-23 R. Cabrera-Trujillo , M. W. J. Bromley , B. D. Esry

We provide the first next-to-leading-order (NLO) weak-coupling description of the thermalization process of far-from-equilibrium systems in non-abelian gauge theory. We study isotropic systems starting from either over- or under-occupied…

高能物理 - 唯象学 · 物理学 2022-04-13 Yu Fu , Jacopo Ghiglieri , Shahin Iqbal , Aleksi Kurkela

We analyze the possible transition patterns exhibited by an effective non-relativistic field model describing interacting binary homogeneous dilute Bose gases whose overall potential is repulsive. We evaluate the temperature dependence of…

软凝聚态物质 · 物理学 2007-05-23 Marcus B. Pinto , Rudnei O. Ramos , Frederico F. de Souza Cruz

Guided by the analogy to the Bose-Einstein condensation of the ideal Bose gas (IBG) we propose a new model for the lambda transition of liquid helium. Deviating from the IBG our model uses phase ordered and localized single-particle…

统计力学 · 物理学 2007-05-23 T. Fliessbach

We compute the next-to-leading order (NLO) hard correction to the gluon self-energy tensor with arbitrary soft momenta in a hot and/or dense weakly coupled plasma in Quantum Chromodynamics. Our diagrammatic computations of the two-loop and…

高能物理 - 唯象学 · 物理学 2023-11-14 Tyler Gorda , Risto Paatelainen , Saga Säppi , Kaapo Seppänen

In this paper, we calculate the equation of state of two-flavor finite isospin chiral perturbation theory at next-to-leading order in the pion-condensed phase at zero temperature. We show that the transition from the vacuum phase to a…

高能物理 - 唯象学 · 物理学 2020-01-08 Prabal Adhikari , Jens O. Andersen , Patrick Kneschke

We study the nonperturbative renormalization of the nucleon-nucleon (NN) interaction at next-to-leading order (NLO) and next-to-next-to-leading order (NNLO) of chiral effective field theory. A systematic variation of the cutoff parameter is…

核理论 · 物理学 2013-11-20 E. Marji , A. Canul , Q. MacPherson , R. Winzer , Ch. Zeoli , D. R. Entem , R. Machleidt

We study the anomalous density in an ultra-cold trapped bose gas in a variational framework, for both zero and finite temperature. We show that it is finite in 1D, while it is logarithmically and linearly divergent in 2D and 3D. The…

量子气体 · 物理学 2016-10-05 Benarous Mohamed

We investigate the $\theta$-dependence of 2-dimensional $CP^{N-1}$ models in the large-$N$ limit by lattice simulations. Thanks to a recent algorithm proposed by M. Hasenbusch to improve the critical slowing down of topological modes,…

高能物理 - 格点 · 物理学 2019-12-25 Mario Berni , Claudio Bonanno , Massimo D'Elia

We generalize our previous model to an O(N) symmetric two-dimensional model which possesses chiral symmetry breaking and superconducting (Cooper pair condensates) phases at large-N. At zero temperature and density, the model can be solved…

高能物理 - 唯象学 · 物理学 2009-10-31 Alan Chodos , Fred Cooper , Wenjin Mao , Hisakazu Minakata , Anupam Singh

We show that $SU_q(2)$ invariant systems in one and two dimensions exhibit Bose-Einstein condensation for $q >1$. For these systems there is a $\lambda$-transition at the critical temperature. The critical temperature and the gap in the…

凝聚态物理 · 物理学 2009-10-30 Marcelo R. Ubriaco

High density phase transitions in a 4 dimensional Nambu-Jona-Lasinio model containing a single symmetry breaking order parameter coming from the fermion-antifermion condensates are researched and expounded by means of both the gap equation…

高能物理 - 理论 · 物理学 2008-11-26 Zhou Bang-Rong

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…

统计力学 · 物理学 2007-05-23 Alexander Yu. Cherny , Joachim Brand

We investigate finite-temperature observables in three-dimensional large $N$ critical vector models taking into account the effects suppressed by $1\over N$. Such subleading contributions are captured by the fluctuations of the…

高能物理 - 理论 · 物理学 2024-04-24 Oleksandr Diatlyk , Fedor K. Popov , Yifan Wang

We extend earlier work [Phys.Rev.Lett. 84, 3740 (2000)] on the statistical mechanics of the cubic one-dimensional discrete nonlinear Schrodinger (DNLS) equation to a more general class of models, including higher dimensionalities and…

统计力学 · 物理学 2007-05-23 Magnus Johansson , Kim O. Rasmussen

We investigate the critical temperature of a relativistic Bose-Einstein condensate of charged bosons driven by rotation in a parallel magnetic field [Y. Liu and I. Zahed, Phys. Rev. Lett. 120, 032001 (2018)]. For non-interacting bosons, the…

核理论 · 物理学 2026-04-16 Puyuan Bai , Lianyi He

We compute the full probability distribution of the moment of inertia $I \propto \sum_{i=1}^N \vec{r}_i^{\,2}$ of a gas of $N$ noninteracting bosons trapped in a harmonic potential $V(r) = (1/2)\, m\, \omega^2 r^2$, in all dimensions and at…

统计力学 · 物理学 2025-11-18 Manas Kulkarni , Satya N. Majumdar , Gregory Schehr

We study the $O(N)$ nonlinear $\sigma$ model on a three-dimensional compact space $S^1 \times S^2$ (of radii $L$ and $R$ respectively) by means of large $N$ expansion, focusing on the finite size effects and conformal symmetries of this…

高能物理 - 理论 · 物理学 2009-09-25 Akira Fujii , Takeo Inami