Bcs–bec Crossover in Relativistic Fermi Systems

He, Lianyi; Mao, Shijun; Zhuang, Pengfei

doi:10.1142/s0217751x13300548

Cited by 23 publications

(30 citation statements)

References 189 publications

(249 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We clearly see that no pion condensation occurs for low µ I . [53]. Furthermore, to the right of this line we have µ I > ∆, and the energies for the u andd quarks (72) and (73) are no longer minimized by |p| = 0, but rather by |p| = µ 2 I − ∆ 2 .…”

Section: Pion Condensationmentioning

confidence: 87%

“…Furthermore, to the right of this line we have µ I > ∆, and the energies for the u andd quarks (72) and (73) are no longer minimized by |p| = 0, but rather by |p| = µ 2 I − ∆ 2 . This can been seen as a signal of a transition to a BCS state [51][52][53]. However, we do not have a thermodynamic phase transition, since the same O(2) symmetry is broken on both sides of the dashed line.…”

Section: Pion Condensationmentioning

confidence: 99%

See 1 more Smart Citation

Thermodynamics and phase diagrams of Polyakov-loop extended chiral models

Folkestad

Andersen

2019

Phys. Rev. D

View full text Add to dashboard Cite

We study the thermodynamics and phase diagrams of two-flavor quantum chromodynamics using the Polyakov-loop extended quark-meson (PQM) model and the Pisarski-Skokov chiral matrix (χM ) model [1]. At temperatures up to T ≈ 2Tc and baryon chemical potentials up to µB = 400 MeV, both models show reasonable agreement with the pressure, energy density, and interaction measure as calculated on the lattice. The Polyakov loop is found to rise significantly faster with temperature in models than on the lattice. In the low-temperature and high baryon density regime, the two models predict different states of matter; The PQM model predicts a confined and chirally restored phase, while the χM model predicts a deconfined and chirally restored phase. At finite isospin density and zero baryon density, the onset of pion condensation at T = 0 is at µI = 1 2 mπ, and the transition is second order at all temperatures. The transition temperature for pion condensation coincides with that of the chiral transition for values of the isospin chemical potential larger than approximately 110 MeV. In the χM model they also coincide with the transition temperature for deconfinement. The results are in good overall agreement with recent lattice simulations of the µI -T phase diagram.

show abstract

Section: Pion Condensationmentioning

confidence: 87%

Section: Pion Condensationmentioning

confidence: 99%

Thermodynamics and phase diagrams of Polyakov-loop extended chiral models

Folkestad

Andersen

2019

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…This behavior is very general and it appears in many systems, including nuclear matter and cold atoms, regardless of the microscopic origin of the interactions (see e.g. [39] for a review). The baryon superfluid described by the holographic model resembles such BEC states.…”

Section: Jhep01(2017)139mentioning

confidence: 99%

Baryon superfluids in AdS/CFT with flavor

Hoyos

Ίτσιος

Vasilakis

2017

J. High Energ. Phys.

View full text Add to dashboard Cite

Baryonic matter is notoriously difficult to deal with in the large-N limit, as baryons become operators of very large dimension with N fields in the fundamental representation. This issue is also present in gauge/gravity duals as baryons are described by very heavy localized objects. There are however alternative large-N extrapolations of QCD where small baryonic operators exist and can be treated on an equal footing to mesons. We explore the possibility of turning on a finite density of "light" baryons in a theory with a hadronic mass gap using a gauge/gravity construction based on the D3/D7 intersection. We find a novel phase with spontaneous breaking of baryon symmetry at zero temperature.

show abstract

“…First, an ordinary BCS-BEC crossover may occur, though the critical temperature in the BEC region no longer tends towards an upper bound, due to relativistic effects. Second, the nonrelativistic BEC state undergoes a transition to a relativisitc BEC (RBEC) state, in which the critical temperature increases to the order of the Fermi energy [15] (see also [16][17][18][19][20] for additional work on the BCS-BEC crossover in relativistic matter).…”

Section: Introductionmentioning

confidence: 99%

Bose-Einstein condensate strings

Harkó

Lake

2015

Phys. Rev. D

View full text Add to dashboard Cite

We consider the possible existence of gravitationally bound general relativistic strings consisting of Bose-Einstein condensate (BEC) matter which is described, in the Newtonian limit, by the zero temperature time-dependent nonlinear Schr\"odinger equation (the Gross-Pitaevskii equation), with repulsive interparticle interactions. In the Madelung representation of the wave function, the quantum dynamics of the condensate can be formulated in terms of the classical continuity equation and the hydrodynamic Euler equations. In the case of a condensate with quartic nonlinearity, the condensates can be described as a gas with two pressure terms, the interaction pressure, which is proportional to the square of the matter density, and the quantum pressure, which is without any classical analogue though, when the number of particles in the system is high enough, the latter may be neglected. Assuming cylindrical symmetry, we analyze the physical properties of the BEC strings in both the interaction pressure and quantum pressure dominated limits, by numerically integrating the gravitational field equations. In this way we obtain a large class of stable stringlike astrophysical objects, whose basic parameters (mass density and radius) depend sensitively on the mass and scattering length of the condensate particle, as well as on the quantum pressure of the Bose-Einstein gas.Comment: 22 pages, 24 figures. Published versio

show abstract

Bcs–bec Crossover in Relativistic Fermi Systems

Cited by 23 publications

References 189 publications

Thermodynamics and phase diagrams of Polyakov-loop extended chiral models

Thermodynamics and phase diagrams of Polyakov-loop extended chiral models

Baryon superfluids in AdS/CFT with flavor

Bose-Einstein condensate strings

Contact Info

Product

Resources

About