Holographic study of entanglement and complexity for mixed states
arXiv:2101.00887 · doi:10.1103/PhysRevD.103.086002
Abstract
In this paper, we holographically quantify the entanglement and complexity for mixed states by following the prescription of purification. The bulk theory we consider in this work is a hyperscaling violating solution, characterized by two parameters, hyperscaling violating exponent and dynamical exponent . This geometry is dual to a non-relativistic strongly coupled theory with hidden Fermi surfaces. We first compute the holographic analogy of entanglement of purification (EoP), denoted as the minimal area of the entanglement wedge cross section and observe the effects of and . Then in order to probe the mixed state complexity we compute the mutual complexity for the BTZ black hole and the hyperscaling violating geometry by incorporating the holographic subregion complexity conjecture. We carry this out for two disjoint subsystems separated by a distance and also when the subsystems are adjacent with subsystems making up the full system. Furthermore, various aspects of holographic entanglement entropy such as entanglement Smarr relation, Fisher information metric and the butterfly velocity has also been discussed.
arXiv commentv1: 16 pages and 4 figures; v2: 21 pages and 6 figures (accepted for publication in Physical Review D)
References in corpus (72)
- The Large N Limit of Superconformal Field Theories and Supergravity
- Large N Field Theories, String Theory and Gravity
- A computable measure of entanglement
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- The Black Hole in Three Dimensional Space Time
- A bound on chaos
- Aspects of Holographic Entanglement Entropy
- Entropy and Area
- A Covariant Holographic Entanglement Entropy Proposal
- Black holes and the butterfly effect
- Black holes as mirrors: quantum information in random subsystems
- Fast Scramblers
- Complexity Equals Action
- Holographic Entanglement Entropy: An Overview
- Complexity, action, and black holes
- The Gravity Dual of a Density Matrix
- Quantum phase transitions of metals in two spatial dimensions: I. Ising-nematic order
- Circuit complexity in quantum field theory
- Hidden Fermi surfaces in compressible states of gauge-gravity duality
- Towards Complexity for Quantum Field Theory States
- Holographic Entanglement of Purification
- Lieb-Robinson and the butterfly effect
- Comments on Holographic Complexity
- Thermodynamical Property of Entanglement Entropy for Excited States
- The entanglement of purification
- Holographic Complexity
- Noether charge, black hole volume, and complexity
- Universal Charge Diffusion and the Butterfly Effect
- Holographic Fermi Surfaces and Entanglement Entropy
- Circuit Complexity in Fermionic Field Theory
- On entanglement spreading in chaotic systems
- Entanglement negativity and minimal entanglement wedge cross sections in holographic theories
- Entanglement Wedge Cross Section from the Dual Density Matrix
- Subsystem Complexity and Holography
- On Volumes of Subregions in Holography and Complexity
- Complexity of Mixed States in QFT and Holography
- Complexity Growth with Lifshitz Scaling and Hyperscaling Violation
- Holographic Complexity Equals Which Action?
- Canonical Energy is Quantum Fisher Information
- Entanglement Wedge Reconstruction and Entanglement of Purification
- Geometric Aspects of Holographic Bit Threads
- Entanglement of Purification for Multipartite States and its Holographic Dual
- Entanglement Wedge Cross Section from CFT: Dynamics of Local Operator Quench
- Light-sheets and AdS/CFT
- Some Aspects of Entanglement Wedge Cross-Section
- Subregion Action and Complexity
- Bit threads and holographic entanglement of purification
- Reflected Entropy and Entanglement Wedge Cross Section with the First Order Correction
- Connecting Fisher information to bulk entanglement in holography
- Generalizations of Reflected Entropy and the Holographic Dual
- Towards Entanglement of Purification for Conformal Field Theories
- Complexity for Charged Thermofield Double States
- Holographic Entanglement Entropy of Multiple Strips
- The connection between holographic entanglement and complexity of purification
- Quantum and Classical Correlations Inside the Entanglement Wedge
- Notes on entanglement wedge cross sections
- Holographic entanglement of purification for thermofield double states and thermal quench
- Entanglement and Complexity of Purification in (1+1)-dimensional free Conformal Field Theories
- Towards a Bit Threads Derivation of Holographic Entanglement of Purification
- Thoughts on Holographic Complexity and its Basis-dependence
- Holographic Purification Complexity
- Evolution of Entanglement Wedge Cross Section Following a Global Quench
- On subregion action complexity in AdS and in the BTZ black hole
- Effect of back reaction on entanglement and subregion volume complexity in strongly coupled plasma
- Bulk geometry from entanglement entropy of CFT
- Holographic subregion complexity of boosted black brane and Fisher information
- Holographic complexity for Lifshitz system
- Entanglement wedge cross-section in shock wave geometries
- Holographic entanglement entropy and generalized entanglement temperature
- Universal Pieces of Holographic Entanglement Entropy and Holographic Subregion Complexity
- Generalized entanglement temperature and entanglement Smarr relation
- Holographic information theoretic quantities for Lifshitz black hole
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- Entanglement Wedge Cross Section in Holographic Excited States
- Holographic confining/deconfining gauge theories and entanglement measures with a magnetic field
- Entanglement Wedge Minimum Cross-section in Holographic Massive Gravity Theory
- Entanglement Wedge Cross Section Growth During Thermalization
- Quantum information probes of charge fractionalization in large- gauge theories
- Entanglement wedge cross section for noncommutative Yang-Mills theory
- Mixed state information theoretic measures in boosted black brane
- Probing Phase Structure of Strongly Coupled Matter with Holographic Entanglement Measures
- Non-Conformal Behavior of Holographic Entanglement Measures
- Information theoretic measures for Lifshitz system
- Estimating time in quantum chaotic systems and black holes
- A holographic realization of correlation and mutual information
- Entanglement Entropy and Complexity of Multicomponent Universe from Holography