Motion of a mirror under infinitely fluctuating quantum vacuum stress

Wang, Qingdi; Unruh, W. G.

doi:10.1103/physrevd.89.085009

Cited by 37 publications

(70 citation statements)

References 17 publications

(30 reference statements)

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“…Similar to the case of infinite Casimir stress fluctuation (203), this infinite fluctuating force and infinite instantaneous acceleration make sense since they are also only significant at very small scales and will not result in infinite fluctuation of the mirror's position at observable larger scales. In fact, the mirror would oscillate back and forth with very high speeds, but its range of motion is still small [62][63][64][65][66].…”

Section: Effect Of Vacuum Energy On the Motion Of Mirrorsmentioning

confidence: 99%

How the huge energy of quantum vacuum gravitates to drive the slow accelerating expansion of the Universe

2017

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We investigate the gravitational property of the quantum vacuum by treating its large energy density predicted by quantum field theory seriously and assuming that it does gravitate to obey the equivalence principle of general relativity. We find that the quantum vacuum would gravitate differently from what people previously thought. The consequence of this difference is an accelerating universe with a small Hubble expansion rate H ∝ Λe −β √ GΛ → 0 instead of the previous prediction H = 8πGρ vac /3 ∝ √ GΛ 2 → ∞ which was unbounded, as the high energy cutoff Λ is taken to infinity. In this sense, at least the "old" cosmological constant problem would be resolved. Moreover, it gives the observed slow rate of the accelerating expansion as Λ is taken to be some large value of the order of Planck energy or higher. This result suggests that there is no necessity to introduce the cosmological constant, which is required to be fine tuned to an accuracy of 10 −120 , or other forms of dark energy, which are required to have peculiar negative pressure, to explain the observed accelerating expansion of the Universe.

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Section: Effect Of Vacuum Energy On the Motion Of Mirrorsmentioning

confidence: 99%

How the huge energy of quantum vacuum gravitates to drive the slow accelerating expansion of the Universe

2017

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“…This is a simplified version of the light-matter interaction -it can be thought of as a polarizationinsensitive direct coupling to the electric field which is the derivative of the vector potential E = ∂ t A in a 1D cavity such an optical fibre. The derivative coupling has been employed in the past to ameliorate the IR behaviour of the model in many different contexts [12][13][14]. In our case, the use of this model also allows us to minimize the impact of neglecting the zero-mode dynamics in case of the periodic cavity [15].…”

Section: Quantifying the Randomness Extractable From An Atomic Dementioning

confidence: 99%

Certified randomness from a two-level system in a relativistic quantum field

2016

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Randomness is an indispensable resource in modern science and information technology. Fortunately, an experimentally simple procedure exists to generate randomness with well-characterized devices: measuring a quantum system in a basis complementary to its preparation. Towards realizing this goal one may consider using atoms or superconducting qubits, promising candidates for quantum information processing. However, their unavoidable interaction with the electromagnetic field affects their dynamics. At large time scales, this can result in decoherence. Smaller time scales in principle avoid this problem, but may not be well analysed under the usual rotating wave and single-mode approximation (RWA and SMA) which break the relativistic nature of quantum field theory. Here, we use a fully relativistic analysis to quantify the information that an adversary with access to the field could get on the result of an atomic measurement. Surprisingly, we find that the adversary's guessing probability is not minimized for atoms initially prepared in the ground state (an intuition derived from the RWA and SMA model).1 By relativistic, we mean here that the detector is locally coupled to a Lorentz covariant field. This excludes any possibility of superluminal signalling (present within the SMA and RWA) [10] and guarantees a proper description of high frequency modes relevant at short times.arXiv:1601.06166v1 [quant-ph]

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“…Still in 1+1 dimensions, the motion of a mirror with an internal harmonic oscillator coupled to a scalar field was investigated in Ref. [18].…”

Section: Introductionmentioning

confidence: 99%

Vacuum fluctuations of a scalar field near a reflecting boundary and their effects on the motion of a test particle

Camargo

Lorenci

Ribeiro

et al. 2018

J. High Energ. Phys.

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The contribution from quantum vacuum fluctuations of a real massless scalar field to the motion of a test particle that interacts with the field in the presence of a perfectly reflecting flat boundary is here investigated. There is no quantum induced dispersions on the motion of the particle when it is alone in the empty space. However, when a reflecting wall is introduced, dispersions occur with magnitude dependent on how fast the system evolves between the two scenarios. A possible way of implementing this process would be by means of an idealized sudden switching, for which the transition occurs instantaneously. Although the sudden process is a simple and mathematically convenient idealization it brings some divergences to the results, particularly at a time corresponding to a round trip of a light signal between the particle and the wall. It is shown that the use of smooth switching functions, besides regularizing such divergences, enables us to better understand the behavior of the quantum dispersions induced on the motion of the particle. Furthermore, the action of modifying the vacuum state of the system leads to a change in the particle energy that depends on how fast the transition between these states is implemented. Possible implications of these results to the similar case of an electric charge near a perfectly conducting wall are discussed.

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Motion of a mirror under infinitely fluctuating quantum vacuum stress

Cited by 37 publications

References 17 publications

How the huge energy of quantum vacuum gravitates to drive the slow accelerating expansion of the Universe

How the huge energy of quantum vacuum gravitates to drive the slow accelerating expansion of the Universe

Certified randomness from a two-level system in a relativistic quantum field

Vacuum fluctuations of a scalar field near a reflecting boundary and their effects on the motion of a test particle

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