Frequency Spectra Analysis of Space and Time Averaged Quantum Stress Tensor Fluctuations
arXiv:2211.12001 · doi:10.1103/PhysRevD.107.036013
Abstract
Observing physical effects of large quantum stress tensor fluctuations requires knowledge of the interactions between the probe and the particles of the underlying quantum fields. The quantum stress tensor operators must first be averaged in time alone or space and time to confer meaningful results, the details of which may correspond to the physical measurement process. We build on prior results to characterize the particle frequencies associated with quantum fluctuations of different magnitudes. For the square of time derivatives of the massless scalar field in a spherical cavity, we find that these frequencies are bounded above in a power law behavior. Our findings provide a way identify the largest quantum fluctuation that may be probed in experiments relying on frequency-dependent interactions.
arXiv comment25 pages, 4 figures, 1 table. V2: updated to version published in Physical Review D
References in corpus (22)
- Stochastic Gravity: Theory and Applications
- Gravitational Particle Production in Oscillating Background and Its Cosmological Implications
- Quantum Energy Inequalities in two-dimensional conformal field theory
- Cosmological Particle Production: A Review
- The Effects of Stress Tensor Fluctuations upon Focusing
- Probability distributions of smeared quantum stress tensors
- Probability distributions for quantum stress tensors in four dimensions
- Vacuum Fluctuations and the Small Scale Structure of Spacetime
- Probability Distributions for Quantum Stress Tensors Measured in a Finite Time Interval
- Quantum Stress Tensor Fluctuations of a Conformal Field and Inflationary Cosmology
- Graviton Creation by Small Scale Factor Oscillations in an Expanding Universe
- Probability distributions for the stress tensor in conformal field theories
- Vacuum Radiation Pressure Fluctuations and Barrier Penetration
- Probability Distributions for Space and Time Averaged Quantum Stress Tensors
- Vacuum Quantum Stress Tensor Fluctuations: A Diagonalization Approach
- Vacuum Decay Induced by Quantum Fluctuations
- Quantum Fields, Geometric Fluctuations, and the Structure of Spacetime
- Large Zero Point Density Fluctuations in Fluids
- Space and Time Averaged Quantum Stress Tensor Fluctuations
- Vacuum Radiation Pressure Fluctuations on Atoms
- Explicit examples of probability distributions for the energy density in two-dimensional conformal field theory
- Quantum Stress Tensor Fluctuations and Primordial Gravity Waves