Configuration Entropy for Quarkonium in a Finite Density Plasma

Abstract

In the recent years many examples appeared in the literature where the configuration entropy (CE), introduced by Gleiser and Stamatopoulos, plays the role of an indicator of stability of physical systems. It was observed that, comparing states of the same system, the lower is the value of the CE, the more stable is the state. In this letter we investigate the behaviour of the CE in a new context. We consider quasi-states of quarkonium (a vector meson made of a heavy quark anti-quark pair) inside a plasma at finite density. It is known that the density increases the dissociation effect for quasi-particles inside a plasma. So, increasing the density of a thermal medium corresponds to reducing the stability of the quasi-particles. In order to investigate how this situation is translated in the Configutation Entropy context, we use a recently developed holographic AdS/QCD model for heavy vector mesons. The quasi-normal modes describing the quasi-states are obtained and the corresponding CE is calculated. We find, for bottomonium and charmonium 1S quasi-states, that the CE increases with the quark density, or quark chemical potential, of the medium. This result shows that the CE works again as an indicator of stability, represented in this case by the dissociation effect associated with the density.

Fluctuation and dissipation within a deformed holographic model with backreaction

“…Making use of this correspondence many works were done in order to study hot dense QGP [19][20][21][22][23][24], considering finite chemical potentials (or some related topics as for instance, QCD phase transition, chiral symmetry breaking, critical exponents, etc. [25][26][27][28][29][30][31][32][33][34][35][36][37][38][39]) and quantum or thermal fluctuations such as the Brownian motion [40][41][42][43][44][45][46], fluctuation and dissipation [47][48][49][50][51][52][53][54][55], drag forces [56][57][58][59][60], or related topics [61][62][63][64][65][66].…”

Gravitational collapse in AdS: instabilities, turbulence, and information

“…Ref. [11] demonstrated that the DCE regulates the stability of heavy vector mesonic states against dissociation, in a thermal medium. Additionally, new aspects of AdS black holes have been paved, including the way information is stored in AdS black holes, in the context of the Hawking-Page phase transition and the DCE [12].…”

Nuclear configurational entropy and high energy hadron-hadron scattering reactions

“…[33][34][35][36][37][38][39]. We can also mention other works, where the critical points of the CE have been used to explain the phenomena of AdS black holes and their quantum portrait as Bose-Einstein graviton condensates, also emulating magnetic structures [40][41][42][43][44][45]. The measure of the minimum values of CE, or the critical points, carries all information content about the stability of the complex nuclear systems.…”