Holographic Entanglement Entropy in the QCD Phase Diagram with a Critical Point

Abstract

We calculate the holographic entanglement entropy for the holographic QCD phase diagram considered in [Knaute, Yaresko, Kämpfer (2017), arXiv:1702.06731] and explore the resulting qualitative behavior over the temperature-chemical potential plane. In agreement with the thermodynamic result, the phase diagram exhibits the same critical point as the onset of a first-order phase transition curve. We compare the phase diagram of the entanglement entropy to that of the thermodynamic entropy density and find a striking agreement in the vicinity of the critical point. Thus, the holographic entanglement entropy qualifies to characterize different phase structures. The scaling behavior near the critical point is analyzed through the calculation of critical exponents.

updated to consistent scaling in arXiv:1702.06731v2; extended discussions and refs added; to appear in PRD

References in corpus (16)

• The equation of state in (2+1)-flavor QCD
• Entanglement as a Probe of Confinement
• Mimicking the QCD equation of state with a dual black hole
• Thermodynamics and bulk viscosity of approximate black hole duals to finite temperature quantum chromodynamics
• A holographic critical point
• Numerical study of entanglement entropy in SU(2) lattice gauge theory
• Holographic Entanglement Entropy in Insulator/Superconductor Transition
• Confinement, Phase Transitions and non-Locality in the Entanglement Entropy
• Holographic Entanglement Entropy in P-wave Superconductor Phase Transition
• Van der Waals criticality in AdS black holes: a phenomenological study
• Entanglement Entropy and Complexity for One-Dimensional Holographic Superconductors
• Entanglement entropy in d+1 SU(N) gauge theory
• Holographic Entanglement Entropy and Confinement
• Holographic entanglement entropy close to crossover/phase transition in strongly coupled systems
• Very General Holographic Superconductors and Entanglement Thermodynamics
• Entanglement, quantum phase transitions and quantum algorithms

Cited by in corpus (19)

• Thermal entropy of a quark-antiquark pair above and below deconfinement from a dynamical holographic QCD model
• Is entanglement a probe of confinement?
• Mixed state entanglement measures as probe for confinement
• Interplay between the holographic QCD phase diagram and mutual & $n$-partite information
• AdS/QCD, Entanglement Entropy and Critical Temperature
• Holographic entanglement entropy, deformed black branes, and deconfinement in AdS/QCD
• Holographic confining/deconfining gauge theories and entanglement measures with a magnetic field
• Entanglement and confinement in lattice gauge theory tensor networks
• Introducing the concept of the Widom line in the QCD phase diagram
• Non-Conformality, Subregion Complexity and Meson Binding
• Three-dimensional Yang-Mills Chern-Simons theory from D3-brane background with D-instantons
• Holographic ${\mathrm{QCD}}_3$ and Chern-Simons theory from anisotropic supergravity
• A quantum information perspective on meson melting
• Probing Phase Structure of Strongly Coupled Matter with Holographic Entanglement Measures
• Inverted c-functions in thermal states
• Holographic entanglement properties in the QCD phase diagram from EMD models
• Holographic bottomonium formation in a cooling strong-interaction medium at finite baryon density
• Non-perturbative Aspects of Quantum Field Theories from Holography
• An analytic approach for holographic entanglement entropy at (quantum) criticality