How often does the Unruh-DeWitt detector click? Regularisation by a spatial profile
arXiv:gr-qc/0606067 · doi:10.1088/0264-9381/23/22/015
Abstract
We analyse within first-order perturbation theory the instantaneous transition rate of an accelerated Unruh-DeWitt particle detector whose coupling to a massless scalar field on four-dimensional Minkowski space is regularised by a spatial profile. For the Lorentzian profile introduced by Schlicht, the zero size limit is computed explicitly and expressed as a manifestly finite integral formula that no longer involves regulators or limits. The same transition rate is obtained for an arbitrary profile of compact support under a modified definition of spatial smearing. Consequences for the asymptotic behaviour of the transition rate are discussed. A number of stationary and nonstationary trajectories are analysed, recovering in particular the Planckian spectrum for uniform acceleration.
30 pages, 1 figure. v3: Added references and minor clarifications
References in corpus (15)
- The motion of point particles in curved spacetime
- Self-force via a Green's function decomposition
- Considerations on the Unruh Effect: Causality and Regularization
- Thermal radiation of various gravitational backgrounds
- The Rotating Quantum Vacuum
- Response of finite-time particle detectors in non-inertial frames and curved spacetime
- Adiabatic vacuum states on general spacetime manifolds: Definition, construction, and physical properties
- Causal particle detectors and topology
- Probes of the vacuum structure of quantum fields in classical backgrounds
- The Fulling-Unruh effect in general stationary accelerated frames
- A matched expansion approach to practical self-force calculations
- Imprints of Spacetime Topology in the Hawking-Unruh Effect
- Particle detectors, geodesic motion, and the equivalence principle
- A Semi-Analytical Method for the Evaluation of the Power Spectrum of a Rotating Observer
- Noninertial quantum mechanical fluctuations
Cited by in corpus (145)
- The Unruh effect and its applications
- Transition rate of the Unruh-DeWitt detector in curved spacetime
- Wavepacket detection with the Unruh-DeWitt model
- Thermal radiation of various gravitational backgrounds
- Detectors for probing relativistic quantum physics beyond perturbation theory
- Entanglement between the future and past in the quantum vacuum
- Then again, how often does the Unruh-DeWitt detector click if we switch it carefully?
- Causality issues of particle detector models in QFT and Quantum Optics
- Relativistic Quantum Information in Detectors-Field Interactions
- Time evolution techniques for detectors in relativistic quantum information
- Voyage to Alpha Centauri: Entanglement degradation of cavity modes due to motion
- Quantum delocalization, gauge and quantum optics: The light-matter interaction in relativistic quantum information
- On the relation between Unruh and Sokolov--Ternov effects
- Information transmission without energy exchange
- General Relativistic Quantum Optics: Finite-size particle detector models in curved spacetimes
- Harvesting correlations in Schwarzschild and collapsing shell spacetimes
- A detector-based measurement theory for quantum field theory
- Onset and decay of the 1+1 Hawking-Unruh effect: what the derivative-coupling detector saw
- Broken covariance of particle detector models in relativistic quantum information
- Static, stationary and inertial Unruh-DeWitt detectors on the BTZ black hole
- Static detectors and circular-geodesic detectors on the Schwarzschild black hole
- Relativistic Quantum Optics: On the relativistic invariance of the light-matter interaction models
- Unruh-DeWitt detector event rate for trajectories with time-dependent acceleration
- Unruh Effect under Non-equilibrium conditions: Oscillatory motion of an Unruh-DeWitt detector
- Entanglement harvesting and divergences in quadratic Unruh-DeWitt detectors pairs
- Unruh-deWitt detectors in quantum superpositions of trajectories
- Unruh and analogue Unruh temperatures for circular motion in 3+1 and 2+1 dimensions
- Berry Phase Quantum Thermometer
- Entanglement Dynamics between Inertial and Non-uniformly Accelerated Detectors
- Particle detectors and the zero mode of a quantum field
- How often does the Unruh-DeWitt detector click beyond four dimensions?
- Hot Accelerated Qubits: Decoherence, Thermalization, Secular Growth and Reliable Late-time Predictions
- Unruh effect for detectors in superposition of accelerations
- Timelike information broadcasting in cosmology
- Gravitational waves affect vacuum entanglement
- Unruh Effect for General Trajectories
- Localized qubits in curved spacetimes
- Unruh-like effects: Effective temperatures along stationary worldlines
- Harvesting entanglement from the gravitational vacuum
- Asymptotic states for stationary Unruh-DeWitt detectors
- Precise space-time positioning for entanglement harvesting
- Fully Relativistic Entanglement Harvesting
- Effective master equations for two accelerated qubits
- Quantum Field Theory based Quantum Information: Measurements and Correlations
- Relativistic Kinematics and Stationary Motions
- Particle Detectors from Localized Quantum Field Theories
- Simulating accelerated atoms coupled to a quantum field
- Cavities in curved spacetimes: the response of particle detectors
- Conformal mapping of Unruh temperature
- All coherent field states entangle equally
- Thermality, causality and the quantum-controlled Unruh-deWitt detector
- The equivalence principle and QFT: Can a particle detector tell if we live inside a hollow shell?
- Scalar and fermionic Unruh Otto engines
- Relativistic quantum communication between harmonic oscillator detectors
- Ambient temperature versus ambient acceleration in the circular motion Unruh effect
- (1+1)D Calculation provides evidence that quantum entanglement survives a firewall
- What makes a particle detector click
- Coherences of accelerated detectors and the local character of the Unruh effect
- WKB analysis of relativistic Stern-Gerlach measurements
- Causality and signalling in non-compact detector-field interactions
- Unruh--DeWitt detectors in spherically symmetric dynamical space-times
- Comments on the anti-Hawking effect on a BTZ black hole spacetime
- Accelerated detectors in Dirac vacuum: the effects of horizon fluctuations
- Clausius entropy for arbitrary bifurcate null surfaces
- General features of the thermalization of particle detectors and the Unruh effect
- Generating multi-partite entanglement from the quantum vacuum with a finite-lifetime mirror
- The Berry phase from the entanglement of future and past light cones: detecting the timelike Unruh effect
- Unruh phenomena and thermalization for qudit detectors
- Ground and thermal states for the Klein-Gordon field on a massless hyperbolic black hole with applications to the anti-Hawking effect
- Direct measurement of the two-point function in quantum fields
- Field assisted extraction and swelling of quantum coherence for moving Unruh-DeWitt detectors
- Gravitational memory for uniformly accelerated observers
- Inertial non-vacuum states viewed from the Rindler frame
- Relativistic Unruh-DeWitt detectors with quantized center of mass
- Assisted harvesting and catalysis of coherence from scalar fields
- Absolutely covert quantum communication
- Velocity Effects on an Accelerated Unruh-DeWitt Detector
- Response of the Unruh-DeWitt detector in flat spacetime with a compact dimension
- Response of an Unruh-DeWitt detector near an extremal black hole
- Decoding Quantum Field Theory with Machine Learning
- On the Unruh effect, trajectories and information
- Unruh-DeWitt detectors in cosmological spacetimes
- An exactly solvable relativistic quantum Otto engine
- Unruh deWitt probe of late time revival of quantum correlations in Friedmann spacetimes
- Derivative coupling in horizon brightened acceleration radiation: a quantum optics approach
- Particle detector models from path integrals of localized quantum fields
- Unruh effect and information flow
- Non-perturbative method for particle detectors with continuous interactions
- On the thermodynamics of moving bodies
- Cohering and decohering power of massive scalar fields under instantaneous interactions
- Purification in Rapid Repeated Interaction Systems
- Quantum detectors in generic non flat FLRW space-times
- Automorphic scalar fields in two-dimensional de Sitter space
- Response of the Unruh-DeWitt detector in a gravitational wave background
- Gravitational wave signals in an Unruh-DeWitt detector
- Real-time particle-detection probabilities in accelerated macroscopic detectors
- Certified Randomness from a Two-Level System in a Relativistic Quantum Field
- Interference of communication and field correlations in entanglement harvesting
- Stationary Worldline Power Distributions
- Casimir forces and quantum friction of finite-size atoms in relativistic trajectories
- Unruh effect without Rindler horizon
- Connecting the circular and drifted Rindler Unruh effects
- Probing geometric information using the Unruh effect in the vacuum
- Radiation from a receding mirror: Unruh-DeWitt detector distinguishes a Dirac fermion from a scalar boson
- General quantum measurements in relativistic quantum field theory
- Harvesting quantum coherence from axion dark matter
- A novel approach to perturbative calculations for a large class of interacting boson theories
- On a Uniformly Accelerated Point Charge moving along a Cusp
- A new study of the Unruh effect
- Is life a thermal horizon ?
- Entropy production and correlation spreading in the interaction between particle detector and thermal baths
- Finite time measurements by Unruh-DeWitt detector and Landauer's principle
- A time-frequency approach to relativistic correlations in quantum field theory
- The Sound of an Orbit: A Quantum Spectrum at the ISCO
- Reliable quantum master equation of the Unruh-DeWitt detector
- Quasinormal Mode Spectroscopy via Horizon-Brightened Quantum Optics
- How cosmological expansion affects communication between distant quantum systems
- Uniformly accelerated Brownian oscillator in (2+1)D: temperature-dependent dissipation and frequency shift
- Detector-based measurements for QFT: two issues and an AQFT proposal
- Excitation of an inertial Unruh detector in the Minkowski vacuum: a numerical calculation using spherical modes
- On Some Information-geometric aspects of Hawking radiation
- Relativistic quantum information theory and quantum reference frames
- Are accelerated detectors sensitive to Planck scale changes?
- Particle detectors under chronological hazard
- Vacua in locally de Sitter cosmologies, and how to distinguish them
- Dimensional reduction of cavities with axial symmetry: A complete analysis of when an optical fiber is approximately one-dimensional
- Unruh-DeWitt detector on the BTZ black hole
- Repeated measurements on non-replicable systems and their consequences for Unruh-DeWitt detectors
- On the (Non)Hadamard Property of the SJ State in a D Causal Diamond
- Decay of Qubits under arbitrary space-time trajectories: The Zeno & Anti-Zeno Effects
- Memory Effects and Entanglement Dynamics of Finite time Acceleration
- Losing information outside the horizon
- Localizing quantum fields with time-dependent potentials
- Entangled states dynamics of moving two-level atoms in a thermal field bath
- Quantum Field Theory in Successive Rindler Spacetimes
- Expansion-sensitive coupling of a local quantum system in de Sitter cosmology
- The Stationary Worldlines and Power Distributions of a Point Charge
- Quantum Parameter Estimation for Detectors in Constantly Accelerated Motion
- Hawking and Unruh radiation perception by different observers: applications of the effective temperature function (in Spanish)
- Dynamical Maps for Accelerating Detectors
- Quantum kicks near a Cauchy horizon
- Unruh-DeWitt detector's response to a non-relativistic particle
- Probing non-equilibrium steady states of the Klein-Gordon field with Unruh-DeWitt detectors
- Measurements in QFT: Weakly coupled local particle detectors and entanglement harvesting
- Cosmological Expansion Induces Interference Between Communication and Entanglement Harvesting