A Comparison Between Models of Gravity Induced Decoherence

Bera, Sayantani; Donadi, Sandro; Lochan, Kinjalk; Singh, Tejinder P.

doi:10.1007/s10701-015-9933-2

Cited by 15 publications

(20 citation statements)

References 67 publications

(97 reference statements)

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“…Here we show explicitly that the spacetime averaged potential in the D-model also implies the K-model spacetime bound, provided the white noise correlation is assumed [21]. We calculate the stochastic world line length similar to s β in K-model but now with a spacetime averaged potential:…”

Section: Equivalence Of K-model and D-model Boundsmentioning

confidence: 91%

“…Using the white noise correlation, φ 2 is calculated which has been described in [21]. Using the result, we get the uncertainty in measuring the length s = cT as…”

Section: Equivalence Of K-model and D-model Boundsmentioning

confidence: 99%

“…When this becomes ∼ π 2 , we get an estimate for the decoherence time. Calculations show [21] that the decoherence time becomes,…”

Section: Phase Variance and Master Equationmentioning

confidence: 99%

“…Using the Fourier expansion (3) we compute γ β (x, t)γ β (x , t ) (see [21] for the detailed calculations) and show that in the limit l → ∞, this becomes,…”

Section: Noise Two-point Correlation In K-modelmentioning

confidence: 99%

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A comparison between models of gravity induced decoherence of the wavefunction

Bera

Donadi

Lochan

et al. 2015

J. Phys.: Conf. Ser.

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Abstract. It has already been suggested that quantum theory needs to be reformulated or modified in order to explain the measurement process and the successive collapse of the wavefunction. However, there are also models of another type which keep quantum theory intact and instead modify the classical gravity by introducing stochasticity to it. These models suggest that there is a fluctuation in the background gravitational field which eventually results in the decoherence of the wavefunction. These fluctuations limit the precision with which one can measure the properties of a spacetime geometry with a quantum probe. Two similar models along this line have been suggested by Karolyhazy (K-model) and Diósi (D-model). They are based upon apparently different spacetime bounds. The results obtained for the coherence length are also somewhat different. In this article, we show that, given certain conditions apply, the minimal spacetime bounds in these two models are equivalent. We also derive the two-point correlation for the fluctuation potential in K-model which turns out to be non-white, unlike in D-model, where the corresponding correlation is white noise in time. In our opinion, this is the origin of discrepancy in the predictions of the two models. We argue that the noise correlation cannot be determined uniquely from a given spacetime bound.

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Section: Equivalence Of K-model and D-model Boundsmentioning

confidence: 91%

“…Using the white noise correlation, φ 2 is calculated which has been described in [21]. Using the result, we get the uncertainty in measuring the length s = cT as…”

Section: Equivalence Of K-model and D-model Boundsmentioning

confidence: 99%

“…When this becomes ∼ π 2 , we get an estimate for the decoherence time. Calculations show [21] that the decoherence time becomes,…”

Section: Phase Variance and Master Equationmentioning

confidence: 99%

“…Using the Fourier expansion (3) we compute γ β (x, t)γ β (x , t ) (see [21] for the detailed calculations) and show that in the limit l → ∞, this becomes,…”

Section: Noise Two-point Correlation In K-modelmentioning

confidence: 99%

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A comparison between models of gravity induced decoherence of the wavefunction

Bera

Donadi

Lochan

et al. 2015

J. Phys.: Conf. Ser.

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show abstract

“…Integral I 4 : Using the form of the correlation function given by (5) and the gaussian probability density given by (14) the spatial part of the integral (21) can be written as…”

mentioning

confidence: 99%

Spacetime Fluctuations and a Stochastic Schrödinger–Newton Equation

2017

Self Cite

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We propose a stochastic modification of the Schrödinger-Newton equation which takes into account the effect of extrinsic spacetime fluctuations. We use this equation to demonstrate gravitationally induced decoherence of two gaussian wave-packets, and obtain a decoherence criterion similar to those obtained in the earlier literature in the context of effects of gravity on the Schrödinger equation.

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Testing Fundamental Physics by Using Levitated Mechanical Systems

Ulbricht

2021

Molecular Beams in Physics and Chemistry

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We will describe recent progress of experiments towards realising large-mass single particle experiments to test fundamental physics theories such as quantum mechanics and gravity, but also specific candidates of Dark Matter and Dark Energy. We will highlight the connection to the work started by Otto Stern as levitated mechanics experiments are about controlling the centre of mass motion of massive particles and using the same to investigate physical effects. This chapter originated from the foundations of physics session of the Otto Stern Fest at Frankfurt am Main in 2019, so we will also share a view on the Stern Gerlach experiment and how it related to tests of the principle of quantum superposition.

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A Comparison Between Models of Gravity Induced Decoherence

Cited by 15 publications

References 67 publications

A comparison between models of gravity induced decoherence of the wavefunction

A comparison between models of gravity induced decoherence of the wavefunction

Spacetime Fluctuations and a Stochastic Schrödinger–Newton Equation

Testing Fundamental Physics by Using Levitated Mechanical Systems

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