Entanglement in curved spacetimes and cosmology

Abstract

We review recent results regarding entanglement in quantum fields in cosmological spacetimes and related phenomena in flat spacetime such as the Unruh effect. We being with a summary of important results about field entanglement and the mathematics of Bogoliubov transformations that is very often used to describe it. We then discuss the Unruh-DeWitt detector model, which is a useful model of a generic local particle detector. This detector model has been successfully used as a tool to obtain many important results. In this context we discuss two specific types of these detectors: a qubit and a harmonic oscillator. The latter has recently been shown to have important applications when one wants to probe nonperturbative physics of detectors interacting with quantum fields. We then detail several recent advances in the study and application of these ideas, including echoes of the early universe, entanglement harvesting, and a nascent proposal for quantum seismology.

29 pages, 7 figures. Accepted in Classical and Quantum Gravity. Currently in press. (Special Issue focused on the topic of "Entanglement and Quantum Gravity")

References in corpus (26)

• The Unruh effect and its applications
• Continuous Matrix Product States for Quantum Fields
• Entangling Power of an Expanding Universe
• Strong constraints on the rare decays Bs -> mu+ mu- and B0 -> mu+ mu-
• Graphical calculus for Gaussian pure states
• Entanglement in an expanding spacetime
• Wavepacket detection with the Unruh-DeWitt model
• Fermionic mode entanglement in quantum information
• Analogue Hawking Radiation in a dc-SQUID Array Transmission Line
• Redistribution of particle and anti-particle entanglement in non-inertial frames
• Strong Upper Limits on Sterile Neutrino Warm Dark Matter
• Backreaction and Unruh effect: New insights from exact solutions of uniformly accelerated detectors
• Fermionic entanglement that survives a black hole
• Fermionic entanglement ambiguity in non-inertial frames
• Processing quantum information with relativistic motion of atoms
• Disentanglement of two harmonic oscillators in relativistic motion
• Unruh-DeWitt detector event rate for trajectories with time-dependent acceleration
• Uniqueness of the Fock quantization of scalar fields in spatially flat cosmological spacetimes
• Particle detectors and the zero mode of a quantum field
• Einstein-Podolsky-Rosen correlations between two uniformly accelerated oscillators
• Quantum Seismology
• Quantum accelerometer: distinguishing inertial Bob from his accelerated twin Rob by a local measurement
• Quantum gates via relativistic remote control
• Probing the spacetime structure of vacuum entanglement
• Mode invisibility as a quantum non-demolition measurement of coherent light
• Quantum Thermometry

Cited by in corpus (47)

• Violation of the strong Huygen's principle and timelike signals from the early Universe
• Unruh-deWitt detectors in quantum superpositions of trajectories
• Uncertainty relation in Schwarzschild spacetime
• Entanglement harvesting in the presence of a reflecting boundary
• Gravitational waves affect vacuum entanglement
• Bandlimited Entanglement Harvesting
• Entanglement harvesting with coherently delocalized matter
• Harvesting entanglement from the gravitational vacuum
• Entanglement harvesting in cosmic string spacetime
• Entanglement dynamics in de Sitter spacetime
• Realizing an Unruh-DeWitt detector through electro-optic sampling of the electromagnetic vacuum
• Entanglement dynamics in $\kappa$-deformed spacetime
• Entanglement statistics in Markovian open quantum systems: a matter of mutation and selection
• Entanglement harvesting in quantum superposed spacetime
• The Berry phase from the entanglement of future and past light cones: detecting the timelike Unruh effect
• Superconducting circuit boundary conditions beyond the Dynamical Casimir Effect
• Information carrying capacity of a cosmological constant
• Continuous-variable quantum teleportation with vacuum-entangled Rindler modes
• Radiative Processes of Entangled Detectors in Rotating Frames
• Holographic Dark Energy and Quantum Entanglement
• Entanglement of self interacting scalar fields in an expanding spacetime
• Interacting fermions in an expanding spacetime
• Dynamical Response of an Unruh-DeWitt Detector in a Quantum Field over the History of the Universe
• Multiple uncertainty relation for accelerated quantum information
• Cosmological quantum entanglement : A possible testbed for the existence of Kalb-Ramond field
• Accelerated paths and Unruh effect I: scalars and fermions in Anti De Sitter spacetime
• Harvesting Fermionic Field Entanglement in Schwarzschild Spacetime
• Locality and entanglement harvesting in covariantly bandlimited scalar fields
• Making two particle detectors in flat spacetime communicate quantumly
• Atom-field dynamics in curved spacetime
• Page Curve and Entanglement Dynamics in an Interacting Fermionic Chain
• Quantifying Causal Influence in Quantum Mechanics
• Equilibrium and Nonequilibrium Quantum Correlations Between Two Accelerated Detectors
• Photonic entanglement with accelerated light
• Particle creation in left-handed metamaterial transmission lines
• Harvesting stabilizer entropy and non-locality from a quantum field
• Unveiling quantum complementarity tradeoffs in relativistic scenarios
• Equilibrium and nonequilibrium quantum correlations between two detectors in curved space time
• Entanglement on curved hypersurfaces: A field-discretizer approach
• Memory Effects and Entanglement Dynamics of Finite time Acceleration
• Harvesting entanglement from the Lorentz-violating quantum field vacuum in a dipolar Bose-Einstein condensate
• Entangled vacuum state for accelerated observers
• Unruh-DeWitt detector's response to a non-relativistic particle
• Quantum Entanglement in Time
• Quantum teleportation in expanding FRW universe
• Cosmological Expansion Induces Interference Between Communication and Entanglement Harvesting
• Intrinsic Entropy of Squeezed Quantum Fields and Nonequilibrium Quantum Dynamics of Cosmological Perturbations