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Entanglement in Condensates involving strong interactions, arXiv:hepph/0312368
"... We look at two well known examples of interacting systems relating to condensed matter in which we put the strong interacting parameters. At high quark chemical potentials and low temperatures we study the entropy arising from the excitation in the BCS model of superconductivity and the BoseEinste ..."
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We look at two well known examples of interacting systems relating to condensed matter in which we put the strong interacting parameters. At high quark chemical potentials and low temperatures we study the entropy arising from the excitation in the BCS model of superconductivity and the BoseEinstein condensation (BEC) of colored quark pairs. We compare it with the ground state entropy for a system consisting of two colored quarks. In the BCS model we found that the entropy strongly depends on the energy gap. Both for the very small values of the momenta as well as those much greater than the characterizing Fermi momentum p f , the ground state entropy is dominant. For the BEC case we suggest a phenomenological model to build up colored bosonic quark pairs. Here the entropy entirely depends upon the short ranged repulsive interactions between the quark pairs and vanishes for large momenta.
DISPERSION RELATIONS IN ULTRADEGENERATE RELATIVISTIC PLASMAS
, 2000
"... The propagation of excitation modes in a relativistic ultradegenerate plasma is modified by their interactions with the medium. These modifications can be computed by evaluating their onshell selfenergy, which gives (gaugeindependent) dispersion relations. For modes with momentum close to the Ferm ..."
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The propagation of excitation modes in a relativistic ultradegenerate plasma is modified by their interactions with the medium. These modifications can be computed by evaluating their onshell selfenergy, which gives (gaugeindependent) dispersion relations. For modes with momentum close to the Fermi momentum, the oneloop fermion selfenergy is dominated by a diagram with a soft photon in the loop. We find the oneloop dispersion relations for quasiparticles and antiquasiparticles, which behave differently as a consequence of their very different phasespace restrictions when they scatter with the electrons of the Fermi sea. In a relativistic system, the unscreened magnetic interactions spoil the normal Fermi liquid behavior of the plasma. For small values of the Fermi velocity, we recover the nonrelativistic dispersion relations of condensed matter systems.
BITP 2003/18 ENTROPY FOR COLORED QUARK STATES AT FINITE TEMPERATURE
, 2004
"... The quantum entropy at finite temperatures is analyzed by using models for colored quarks making up the physical states of the hadrons. We explicitly work out some special models for the structure of the states of SU(2) and SU(3) relating to the effects of the temperature on the quantum entropy. We ..."
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The quantum entropy at finite temperatures is analyzed by using models for colored quarks making up the physical states of the hadrons. We explicitly work out some special models for the structure of the states of SU(2) and SU(3) relating to the effects of the temperature on the quantum entropy. We show that the entropy of the singlet states monotonically decreases meaning that the mixing of these states continually diminishes with the temperature. It has been found that the structure of the octet states is more complex so that it can be best characterized by two parts. One part is very similar to that of the singlet states. The other one reflects the existence of strong correlations between two of the three color states. Furthermore, we work out the entropy for the classical Ising and the quantum XY spin chains. In Ising model the quantum (ground state) entropy does not directly enter into the canonical partition function. It also does not depend on the number of spatial dimensions, but only on the number of quantum states making up the ground state. Whereas, the XY spin chain has a finite entropy at vanishing temperature. The results from the spin models qualitatively analogous to our models for the states of
hepth/0411048
, 2004
"... Exact solution of the XXZ Gaudin model with generic open boundaries ..."
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Zn elliptic Gaudin model with open boundaries
, 2004
"... The Zn elliptic Gaudin model with integrable boundaries specified by generic nondiagonal Kmatrices with n + 1 free boundary parameters is studied. The commuting families of Gaudin operators are diagonalized by the algebraic Bethe ansatz method. The eigenvalues and the corresponding Bethe ansatz equ ..."
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The Zn elliptic Gaudin model with integrable boundaries specified by generic nondiagonal Kmatrices with n + 1 free boundary parameters is studied. The commuting families of Gaudin operators are diagonalized by the algebraic Bethe ansatz method. The eigenvalues and the corresponding Bethe ansatz equations are obtained. PACS: 03.65.Fd; 04.20.Jb; 05.30.d; 75.10.Jm