Quantum information measures and their applications in quantum field theory
arXiv:1702.07384
Abstract
In the last decades, it has been understood that a wide variety of phenomena in quantum field theory (QFT) can be characterised using quantum information measures, such as the entanglement entropy of a state and the relative entropy between quantum states in the same Hilbert space. In this thesis, we use these and other tools from quantum information theory to study several interesting problems in quantum field theory. The topics analysed range from the study of the Aharonov-Bohm effect in QFT using entanglement entropy, to the consistence of the Ryu-Takayanagi formula (proposed in the context of the AdS/CFT duality) using properties of relative entropy. We show that relative entropy can also be used to obtain new interesting quantum energy inequalities, that constrain the spatial distribution of negative energy density.
arXiv commentIn Spanish. This is a thesis submitted to UNCuyo in January 2016, for the PhD Degree in Physics
References in corpus (54)
- Large N Field Theories, String Theory and Gravity
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Entanglement Entropy and Quantum Field Theory
- Entanglement in quantum critical phenomena
- Detecting topological order in a ground state wave function
- Entropy and Area
- Geometric and Renormalized Entropy in Conformal Field Theory
- Lecture Notes on Holographic Renormalization
- Towards a derivation of holographic entanglement entropy
- Generalized gravitational entropy
- Building up spacetime with quantum entanglement
- AdS3 Black Holes and a Stringy Exclusion Principle
- Holographic Entanglement Entropy: An Overview
- Holographic c-theorems in arbitrary dimensions
- Entanglement Renyi entropies in holographic theories
- Bulk vs. Boundary Dynamics in Anti-de Sitter Spacetime
- Entanglement as a Probe of Confinement
- On the RG running of the entanglement entropy of a circle
- Seeing a c-theorem with holography
- Universality of Entropy Scaling in 1D Gap-less Models
- Entanglement and alpha entropies for a massive Dirac field in two dimensions
- Entanglement Entropy at Large Central Charge
- Relative entropy and the Bekenstein bound
- Ground state entanglement and geometric entropy in the Kitaev's model
- Holographic Calculations of Renyi Entropy
- A proof of the generalized second law for rapidly changing fields and arbitrary horizon slices
- Stress Tensors and Casimir Energies in the AdS/CFT Correspondence
- Holographic Hydrodynamics with a Chemical Potential
- Entanglement Entropy, Trace Anomalies and Holography
- Momentum-space entanglement and renormalization in quantum field theory
- Comments on quantum gravity and entanglement
- The Entanglement Renyi Entropies of Disjoint Intervals in AdS/CFT
- Bounds on negative energy densities in flat spacetime
- A general worldline quantum inequality
- Some Calculable Contributions to Entanglement Entropy
- Numerical study of entanglement entropy in SU(2) lattice gauge theory
- Diamonds's Temperature: Unruh effect for bounded trajectories and thermal time hypothesis
- Holographic Mutual Information at Finite Temperature
- Notes on Spacetime Thermodynamics and the Observer-dependence of Entropy
- Local temperatures and local terms in modular Hamiltonians
- Modular Groups of Quantum Fields in Thermal States
- Light-sheets and Bekenstein's bound
- Entanglement Entropy in Scalar Field Theory
- Localization of Negative Energy and the Bekenstein Bound
- Lectures on quantum energy inequalities
- Restoration of the magnetic hc/e-periodicity in unconventional superconductors
- Constraints on Spatial distributions of Negative Energy
- Emergence of -period oscillations in the critical temperature of small superconducting rings threaded by magnetic flux
- Comment on entropy bounds and the generalized second law
- Flux Periodicities and Quantum Hair on Holographic Superconductors
- Low-energy subgap states and the magnetic flux periodicity in d-wave superconducting rings
- Entropy localization and extensivity in the semiclassical black hole evaporation
- Entanglement entropy for non-coplanar regions in quantum field theory
- A few words on Entropy, Thermodynamics, and Horizons