Space and Time Averaged Quantum Stress Tensor Fluctuations
- URL: http://arxiv.org/abs/2104.04446v2
- Date: Mon, 5 Jul 2021 20:20:52 GMT
- Title: Space and Time Averaged Quantum Stress Tensor Fluctuations
- Authors: Peter Wu, L. H. Ford, Enrico D. Schiappacasse
- Abstract summary: We extend previous work on the numerical diagonalization of quantum stress tensor operators in the Minkowski vacuum state.
We find that the probability of large vacuum fluctuations is reduced when spatial averaging is included, but the tail still decreases more slowly than exponentially as the magnitude of the measured eigenvalues increases.
- Score: 6.876539868141691
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We extend previous work on the numerical diagonalization of quantum stress
tensor operators in the Minkowski vacuum state, which considered operators
averaged in a finite time interval, to operators averaged in a finite spacetime
region. Since real experiments occur over finite volumes and durations,
physically meaningful fluctuations may be obtained from stress tensor operators
averaged by compactly supported sampling functions in space and time. The
direct diagonalization, via a Bogoliubov transformation, gives the eigenvalues
and the probabilities of measuring those eigenvalues in the vacuum state, from
which the underlying probability distribution can be constructed. For the
normal-ordered square of the time derivative of a massless scalar field in a
spherical cavity with finite degrees of freedom, analysis of the tails of these
distributions confirms previous results based on the analytical treatment of
the high moments. We find that the probability of large vacuum fluctuations is
reduced when spatial averaging is included, but the tail still decreases more
slowly than exponentially as the magnitude of the measured eigenvalues
increases, suggesting vacuum fluctuations may not always be subdominant to
thermal fluctuations and opening up the possibility of experimental observation
under the right conditions.
Related papers
- Quantum electrodynamics of lossy magnetodielectric samples in vacuum: modified Langevin noise formalism [55.2480439325792]
We analytically derive the modified Langevin noise formalism from the established canonical quantization of the electromagnetic field in macroscopic media.
We prove that each of the two field parts can be expressed in term of particular bosonic operators, which in turn diagonalize the electromagnetic Hamiltonian.
arXiv Detail & Related papers (2024-04-07T14:37:04Z) - Real-time dynamics of false vacuum decay [49.1574468325115]
We investigate false vacuum decay of a relativistic scalar field in the metastable minimum of an asymmetric double-well potential.
We employ the non-perturbative framework of the two-particle irreducible (2PI) quantum effective action at next-to-leading order in a large-N expansion.
arXiv Detail & Related papers (2023-10-06T12:44:48Z) - Scattering Times of Quantum Particles from the Gravitational Potential,
and Equivalence Principle Violation [0.0]
Universality of motion under gravity, the equivalence principle, is violated for quantum particles.
We study time it takes for a quantum particle to scatter from the gravitational potential, and show that the scattering time acts as an indicator of the equivalence principle violation.
arXiv Detail & Related papers (2022-08-11T01:45:32Z) - Role of boundary conditions in the full counting statistics of
topological defects after crossing a continuous phase transition [62.997667081978825]
We analyze the role of boundary conditions in the statistics of topological defects.
We show that for fast and moderate quenches, the cumulants of the kink number distribution present a universal scaling with the quench rate.
arXiv Detail & Related papers (2022-07-08T09:55:05Z) - Strongly trapped space-inhomogeneous quantum walks in one dimension [0.30458514384586394]
localization is a characteristic phenomenon of space-inhomogeneous quantum walks in one dimension.
In this paper, we introduce the analytical method to calculate eigenvectors using the transfer matrix.
We also extend our results to characterize eigenvalues not only for two-phase quantum walks with one defect but also for a more general space-inhomogeneous model.
arXiv Detail & Related papers (2021-05-23T15:36:54Z) - Multi-time correlations in the positive-P, Q, and doubled phase-space
representations [0.0]
It is shown that expressions for time-ordered normal-ordered quantum observables in the positive-P distribution replace Heisenberg operators with the bare time-dependent variables.
The theory of multi-time observables in phase-space representations is extended, allowing non-perturbative treatment of many cases.
arXiv Detail & Related papers (2020-11-19T21:17:31Z) - Analog cosmological reheating in an ultracold Bose gas [58.720142291102135]
We quantum-simulate the reheating-like dynamics of a generic cosmological single-field model in an ultracold Bose gas.
Expanding spacetime as well as the background oscillating inflaton field are mimicked in the non-relativistic limit.
The proposed experiment has the potential of exploring the evolution up to late times even beyond the weak coupling regime.
arXiv Detail & Related papers (2020-08-05T18:00:26Z) - Probing eigenstate thermalization in quantum simulators via
fluctuation-dissipation relations [77.34726150561087]
The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems.
Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations.
Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
arXiv Detail & Related papers (2020-07-20T18:00:02Z) - The role of boundary conditions in quantum computations of scattering
observables [58.720142291102135]
Quantum computing may offer the opportunity to simulate strongly-interacting field theories, such as quantum chromodynamics, with physical time evolution.
As with present-day calculations, quantum computation strategies still require the restriction to a finite system size.
We quantify the volume effects for various $1+1$D Minkowski-signature quantities and show that these can be a significant source of systematic uncertainty.
arXiv Detail & Related papers (2020-07-01T17:43:11Z) - Vacuum Decay Induced by Quantum Fluctuations [0.0]
We consider two varieties of field fluctuations and their potential effects in a semiclassical description.
We find a contribution to the decay rate which is comparable to the decay rate by quantum tunneling.
We find a contribution to the decay rate which is much larger than those coming from either quantum tunneling or linear field fluctuations.
arXiv Detail & Related papers (2020-05-17T19:49:03Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.