Holographic Entanglement of Purification near a Critical Point

Abstract

In the presence of finite chemical potential $\mu$, we holographically compute the entanglement of purification in a $2+1$- and $3+1$-dimensional field theory and also in a $3+1$-dimensional field theory with a critical point. We observe that compared to $2+1$- and $3+1$-dimensional field theories, the behavior of entanglement of purification near critical point is different and it is not a monotonic function of $\frac{\mu }{T}$ where $T$ is the temperature of the field theory. Therefore, the entanglement of purification distinguishes the critical point in the field theory. We also discuss the dependence of the holographic entanglement of purification on the various parameters of the theories. Moreover, the critical exponent is calculated.

arXiv comment10 pages, 10 figures

References in corpus (20)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Aspects of Holographic Entanglement Entropy
• A Covariant Holographic Entanglement Entropy Proposal
• Holographic Entanglement of Purification
• Entanglement of purification: from spin chains to holography
• Entanglement negativity and minimal entanglement wedge cross sections in holographic theories
• Holographic Hydrodynamics with a Chemical Potential
• Entanglement Wedge Cross Section from the Dual Density Matrix
• Thermalization with a chemical potential from AdS spaces
• Dynamic critical phenomena at a holographic critical point
• Holographic Mutual Information at Finite Temperature
• Entanglement Wedge Reconstruction and Entanglement of Purification
• Geometric Aspects of Holographic Bit Threads
• Entanglement of Purification for Multipartite States and its Holographic Dual
• Some Aspects of Entanglement Wedge Cross-Section
• Entanglement of Purification in Free Scalar Field Theories
• Holographic entanglement of purification for thermofield double states and thermal quench
• Critical behavior of non-hydrodynamic quasinormal modes in a strongly coupled plasma
• Evolution of Holographic Complexity Near Critical Point
• Dynamically probing strongly-coupled field theories with critical point

Cited by in corpus (12)

• Holographic Study of Reflected Entropy in Anisotropic Theories
• Entanglement Wedge Cross Section in Holographic Excited States
• Temperature Dependence of Entanglement of Purification in Presence of Chemical Potential
• Entanglement and chaos near critical point in strongly coupled gauge theory
• Quantum information probes of charge fractionalization in large-$N$ gauge theories
• Critical behaviour of hydrodynamic series
• Entanglement Wedge Cross Section Growth During Thermalization
• Complexity and uncomplexity during energy injection
• Meson Excitation Time as a Probe of Holographic Critical Point
• Probing Phase Structure of Strongly Coupled Matter with Holographic Entanglement Measures
• Non-Conformal Behavior of Holographic Entanglement Measures
• Resource and stability near a critical point from the quantum information perspective