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.

arXiv comment29 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 (90)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Separability Criterion for Density Matrices
• A computable measure of entanglement
• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Gaussian Quantum Information
• Separability of Mixed States: Necessary and Sufficient Conditions
• BICEP2 I: Detection Of B-mode Polarization at Degree Angular Scales
• Loop Quantum Cosmology: A Status Report
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
• Analogue Gravity
• The Unruh effect and its applications
• Alice falls into a black hole: Entanglement in non-inertial frames
• Cosmological Constraints from the Clustering of the Sloan Digital Sky Survey DR7 Luminous Red Galaxies
• Search for squarks and gluinos using final states with jets and missing transverse momentum with the ATLAS detector in sqrt(s) = 7 TeV proton-proton collisions
• Quantum tensor product structures are observable-induced
• Teleportation with a uniformly accelerated partner
• Entanglement from the vacuum
• The Unruh effect in quantum information beyond the single-mode approximation
• Violating Bell's inequalities in the vacuum
• Continuous Matrix Product States for Quantum Fields
• Entangling Power of an Expanding Universe
• Entanglement renormalization for quantum fields
• Search for Supersymmetry in pp Collisions at 7 TeV in Events with Jets and Missing Transverse Energy
• Acceleration-assisted entanglement harvesting and rangefinding
• Strong constraints on the rare decays Bs -> mu+ mu- and B0 -> mu+ mu-
• Unveiling quantum entanglement degradation near a Schwarzschild black hole
• Graphical calculus for Gaussian pure states
• Switchable ultrastrong coupling in circuit QED
• Search for supersymmetry using final states with one lepton, jets, and missing transverse momentum with the ATLAS detector in sqrt{s} = 7 TeV pp
• Transition rate of the Unruh-DeWitt detector in curved spacetime
• Entanglement in an expanding spacetime
• Wavepacket detection with the Unruh-DeWitt model
• Fermionic mode entanglement in quantum information
• Quantum Brownian Motion in a Bath of Parametric Oscillators: A model for system-field interactions
• Introduction to Loop Quantum Cosmology
• Analogue Hawking Radiation in a dc-SQUID Array Transmission Line
• Entanglement of Dirac fields in an expanding spacetime
• Using Berry's phase to detect the Unruh effect at lower accelerations
• Detectors for probing relativistic quantum physics beyond perturbation theory
• Search for Microscopic Black Hole Signatures at the Large Hadron Collider
• Asymptotic violation of Bell inequalities and distillability
• Sudden death of entanglement and teleportation fidelity loss via the Unruh effect
• Redistribution of particle and anti-particle entanglement in non-inertial frames
• Casimir forces on atoms in optical cavities
• Strong Upper Limits on Sterile Neutrino Warm Dark Matter
• Spin and occupation number entanglement of Dirac fields for non-inertial observers
• Backreaction and Unruh effect: New insights from exact solutions of uniformly accelerated detectors
• Sustainable entanglement production from a quantum field
• Time evolution techniques for detectors in relativistic quantum information
• Quantum correlations through event horizons: Fermionic versus bosonic entanglement
• Fermionic entanglement that survives a black hole
• Entanglement creation between two causally-disconnected objects
• Extracting past-future vacuum correlations using circuit QED
• Near-Thermal Radiation in Detectors, Mirrors and Black Holes: A Stochastic Approach
• Fermionic entanglement ambiguity in non-inertial frames
• Processing quantum information with relativistic motion of atoms
• Disentanglement of two harmonic oscillators in relativistic motion
• Quantum entanglement produced in the formation of a black hole
• Residual entanglement of accelerated fermions is not nonlocal
• Unruh-DeWitt detector event rate for trajectories with time-dependent acceleration
• Quantum signalling in cavity QED
• Unruh Effect under Non-equilibrium conditions: Oscillatory motion of an Unruh-DeWitt detector
• Detection of negative energy: 4-dimensional examples
• Berry Phase Quantum Thermometer
• The entangling side of the Unruh-Hawking effect
• Uniqueness of the Fock quantization of scalar fields in spatially flat cosmological spacetimes
• Entanglement Dynamics between Inertial and Non-uniformly Accelerated Detectors
• Particle detectors and the zero mode of a quantum field
• Entanglement Structure in Expanding Universes
• Einstein-Podolsky-Rosen correlations between two uniformly accelerated oscillators
• Fermionic entanglement extinction in non-inertial frames
• Entanglement of arbitrary spin fields in non-inertial frames
• Thermal amplification of field-correlation harvesting
• Simulating quantum effects of cosmological expansion using a static ion trap
• Universality and thermalization in the Unruh Effect
• Dynamics of entanglement via propagating microwave photons
• Comment on "Fermionic entanglement ambiguity in noninertial frames"
• Quantum Seismology
• Comment on "On two misconceptions in current relativistic quantum information"
• Quantum accelerometer: distinguishing inertial Bob from his accelerated twin Rob by a local measurement
• Unruh effect without trans-horizon entanglement
• Influence of detector motion in entanglement measurements with photons
• Quantum gates via relativistic remote control
• Probing the spacetime structure of vacuum entanglement
• The fate of non-trivial entanglement under gravitational collapse
• Mode Invisibility and Single Photon Detection
• Mode invisibility as a quantum non-demolition measurement of coherent light
• Quantum Thermometry
• Unitary evolution and uniqueness of the Fock quantization in flat cosmologies with compact spatial sections

Cited by in corpus (66)

• Harvesting correlations from the quantum vacuum
• Violation of the strong Huygen's principle and timelike signals from the early Universe
• Unruh-deWitt detectors in quantum superpositions of trajectories
• Entanglement harvesting and divergences in quadratic Unruh-DeWitt detectors pairs
• Uncertainty relation in Schwarzschild spacetime
• Analog cosmological particle generation in a superconducting circuit
• Entanglement harvesting in the presence of a reflecting boundary
• Gravitational waves affect vacuum entanglement
• Radiative processes of two entangled atoms outside a Schwarzschild black hole
• Timelike information broadcasting in cosmology
• Bandlimited Entanglement Harvesting
• Low energy Lorentz violation from modified dispersion at high energies
• Entanglement harvesting with coherently delocalized matter
• Harvesting entanglement from the gravitational vacuum
• Quantum Signaling in Relativistic Motion and Across Acceleration Horizons
• Entanglement dynamics in de Sitter spacetime
• Entanglement harvesting in cosmic string spacetime
• Realizing an Unruh-DeWitt detector through electro-optic sampling of the electromagnetic vacuum
• Information travels in massless fields in 1+1 dimensions where energy cannot
• Entanglement dynamics in $\kappa$-deformed spacetime
• Entanglement harvesting in quantum superposed spacetime
• Entanglement statistics in Markovian open quantum systems: a matter of mutation and selection
• 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
• Motion and gravity effects in the precision of quantum clocks
• Continuous-variable quantum teleportation with vacuum-entangled Rindler modes
• Information carrying capacity of a cosmological constant
• Radiative Processes of Entangled Detectors in Rotating Frames
• Spacetime anisotropy affects cosmological entanglement
• Low energy Lorentz violation from high energy modified dispersion in inertial and circular motion
• Momentum correlations of scattered particles in quantum field theory: one-loop entanglement generation
• Holographic Dark Energy and Quantum Entanglement
• Entanglement of self interacting scalar fields in an expanding spacetime
• Quantum Thermodynamics and Quantum Entanglement Entropies in an Expanding Universe
• Dynamical Response of an Unruh-DeWitt Detector in a Quantum Field over the History of the Universe
• Interacting fermions in an expanding spacetime
• Multiple uncertainty relation for accelerated quantum information
• Cosmological quantum entanglement : A possible testbed for the existence of Kalb-Ramond field
• Harvesting Fermionic Field Entanglement in Schwarzschild Spacetime
• Accelerated paths and Unruh effect I: scalars and fermions in Anti De Sitter spacetime
• Locality and entanglement harvesting in covariantly bandlimited scalar fields
• Making two particle detectors in flat spacetime communicate quantumly
• Unruh-DeWitt detector in presence of multiple scalar fields : A Toy Model
• Atom-field dynamics in curved spacetime
• Entanglement entropy of Primordial Black Holes after inflation
• Page Curve and Entanglement Dynamics in an Interacting Fermionic Chain
• Quantifying Causal Influence in Quantum Mechanics
• Photonic entanglement with accelerated light
• Particle creation in left-handed metamaterial transmission lines
• Decoherence and disentanglement of qubits detecting scalar fields in an expanded universe
• The Quantum Echo of the Early Universe
• Equilibrium and Nonequilibrium Quantum Correlations Between Two Accelerated Detectors
• Constructing an entangled state in Heisenberg picture for inflationary cosmology
• 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
• Schrödinger field theory in curved spacetime: In-In formalism and three-point function for inflationary background
• Harvesting entanglement from the Lorentz-violating quantum field vacuum in a dipolar Bose-Einstein condensate
• Entangled vacuum state for accelerated observers
• Intrinsic Entropy of Squeezed Quantum Fields and Nonequilibrium Quantum Dynamics of Cosmological Perturbations
• Cosmological Expansion Induces Interference Between Communication and Entanglement Harvesting
• Quantum teleportation in expanding FRW universe
• Unruh-DeWitt detector's response to a non-relativistic particle
• Quantum Entanglement in Time