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Based on the Dyson-Schwinger Equations (DSEs) with zero- and finite temperature, the two quark condensate, the four quark condensate and quark gluon mixed condensate in non-perturbative QCD state are investigated by solving the DSEs…

High Energy Physics - Phenomenology · Physics 2015-06-19 Zhou Li-Juan , Zheng Bo , Zhong Hong-wei , Ma Wei-xing

Several lattice models display a condensation transition in real space when the density of a suitable order parameter exceeds a critical value. We consider one of such models with two conservation laws, in a one-dimensional open setup where…

Statistical Mechanics · Physics 2022-12-01 Gabriele Gotti , Stefano Iubini , Paolo Politi

We investigate the vacuum realignment for chiral symmetry breaking and color superconductivity at finite density in Nambu-Jona-Lasinio model in a variational method. The treatment allows us to investigate simultaneous formation of…

High Energy Physics - Phenomenology · Physics 2009-11-10 Amruta Mishra , Hiranmaya Mishra

We consider a system of $N$ particles living on the noncommutative plane in the presence of a confining potential and study its thermodynamics properties. Indeed, after calculating the partition function, we determine the corresponding…

Statistical Mechanics · Physics 2020-01-08 Rachid Houça , Ahmed Jellal

The occurrence of a molecular Bose-Einstein condensate is studied for an atomic system near a zero energy resonance of the binary scattering process, with a large and positive scattering length. The interaction potential is modeled by a…

Statistical Mechanics · Physics 2007-05-23 L. Pricoupenko

We study the dynamics of a Bose-Einstein condensate in a double-well potential in the two-mode approximation. The dissipation of energy from the condensate is described by the coupling to a thermal reservoir of non-condensate modes. As a…

Condensed Matter · Physics 2009-10-31 Janne Ruostekoski , Dan F. Walls

We present a numerical study of the time-dependent and time-independent Gross-Pitaevskii (GP) equation in two space dimensions, which describes the Bose-Einstein condensate of trapped bosons at ultralow temperature with both attractive and…

Soft Condensed Matter · Physics 2009-10-31 Sadhan K. Adhikari

The ground state of a rotating Bose-Einstein condensate trapped in a two-dimensional anharmonic--anisotropic potential is analyzed numerically at the limit of an infinite number of particles. We find that the density breaks up along the $x$…

Quantum Gases · Physics 2024-12-05 Sunayana Dutta , Axel U. J. Lode , Ofir E. Alon

We consider two-flavor chiral perturbation theory ($\chi$PT) at finite isospin chemical potential $\mu_I$ and finite temperature $T$. We calculate the effective potential and the quark and pion condensates as functions of $T$ and $\mu_I$ to…

High Energy Physics - Phenomenology · Physics 2021-02-26 Prabal Adhikari , Jens O. Andersen , Martin A. Mojahed

We study the dynamical formation of disoriented chiral condensates in very high energy nucleus-nucleus collisions using Bjorken hydrodynamics and relativistic nucleation theory. It is the dynamics of the first order confinement phase…

Nuclear Theory · Physics 2007-05-23 Joseph I. Kapusta , Axel P. Vischer

It is hypothesized that, within Bose-Einstein condensates, contaminants will form a potential that effects the energy state of a condensate. While assuming a system governed by the Gross-Pitaevskii equation, contaminants are modelled as…

Other Condensed Matter · Physics 2007-05-23 Alexander Oshmyansky

We investigate the relation between non-local and energetic properties in 2D quantum systems of zero-temperature bosons. By analyzing numerous interaction potentials across densities spanning from perturbative to strongly correlated regime,…

Quantum Gases · Physics 2025-08-28 G. E. Astrakharchik , I. L. Kurbakov , N. A. Asriyan , Yu. E. Lozovik

We briefly review the cases of forced and spontaneous chiral symmetry breaking. In particular the chiral condensate of q anti-q pairs is parametrized with two angles, phi which measures the chiral condensation, and theta which measures the…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. Bicudo , J. Ribeiro

We study the dissipation of the centre of mass oscillation of a harmonically confined condensate in the presence of a disorder potential. An extension of the Generalized Harmonic Theorem allows one to formulate the dynamics from the point…

Quantum Gases · Physics 2014-03-14 Z. Wu , E. Zaremba

A pairing gap and coherence are the two hallmarks of superconductivity. In a classical BCS superconductor they are established simultaneously at Tc. In the cuprates, however, an energy gap (pseudogap) extends above Tc. The origin of this…

Superconductivity · Physics 2009-02-10 Takeshi Kondo , Rustem Khasanov , Tsunehiro Takeuchi , Joerg Schmalian , Adam Kaminski

Recently achieved chiral condensates open intriguing avenues for the study of the chiral properties induced by current-density interactions. An attempt to include these features in a spinor system is presented, which gives rise to a…

We study dimension reduction for the three-dimensional Gross-Pitaevskii equation with a long-range and anisotropic dipole-dipole interaction modeling dipolar Bose-Einstein condensation in a strong interaction regime. The cases of disk…

Analysis of PDEs · Mathematics 2015-04-16 Weizhu Bao , Loïc Le Treust , Florian Méhats

We consider a mixture of bosons and spin-polarized fermions in two dimensions at zero temperature with a tunable Bose-Fermi attraction. By adopting a diagrammatic T-matrix approach, we analyze the behavior of several thermodynamic…

Quantum Gases · Physics 2025-03-04 Leonardo Pisani , Pietro Bovini , Fabrizio Pavan , Pierbiagio Pieri

Arguments are summarized, that neutral matter made of helium, carbon, etc., should form a quantum liquid at the above-atomic but below-nuclear densities for which the charged spin-0 nuclei can condense. The resulting substance has…

High Energy Physics - Theory · Physics 2010-02-16 Gregory Gabadadze

We consider the three-dimensional time-dependent Gross-Pitaevskii equation arising in the description of rotating Bose-Einstein condensates and study the corresponding scaling limit of strongly anisotropic confinement potentials. The…

Analysis of PDEs · Mathematics 2015-07-13 Florian Mehats , Christof Sparber