Decoherence from isocurvature perturbations in inflation

Prokopec, Tomislav; Rigopoulos, Gerasimos

doi:10.1088/1475-7516/2007/11/029

Cited by 51 publications

(96 citation statements)

References 34 publications

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“…In the literature, there are various arguments and calculations suggesting that a form of such environment decoherence can indeed occur for inflationary perturbations [20][21][22][23][24][25][26][27][28][29][30]. The coherence length decreases exponentially for wavelengths greater than Hubble radius.…”

Section: Introductionmentioning

confidence: 99%

Decoherence problem in an ekpyrotic phase

Tseng

2013

Phys. Rev. D

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Quantum decoherence and the transition to semiclassical behavior during inflation have been extensively considered in the literature. In this paper, we use a simple model to analyze the same process in ekpyrosis. Our result is that the quantum to classical transition would not happen during an ekpyrotic phase even for superhorizon modes, and therefore the fluctuations cannot be interpreted as classical. This implies the prediction of a scale-free power spectrum in an ekpyrotic/cyclic universe model requires more inspection.

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Section: Introductionmentioning

confidence: 99%

Decoherence problem in an ekpyrotic phase

Tseng

2013

Phys. Rev. D

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“…We remark that the problem we are addressing, is related to, but different from the problem of the quantum-to-classical transition [33,34,35,36,37,38], that deals with the way how quantum fluctuations acquire classical properties by decoherence, and with the production of entropy. In this paper we are not investigating how a quantum system evolves to a classical system; we are considering a quantum system and a classical system separately from each other and investigate how well the classical system can reproduce correlation functions of the quantum system.…”

Section: Introductionmentioning

confidence: 99%

Classical approximation to quantum cosmological correlations

Meulen¹,

Smit²

2007

J. Cosmol. Astropart. Phys.

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Abstract:We investigate up to which order quantum effects can be neglected in calculating cosmological correlation functions after horizon exit. As a toy model, we study φ 3 theory on a de Sitter background for a massless minimally coupled scalar field φ. We find that for tree level and one loop contributions in the quantum theory, a good classical approximation can be constructed, but for higher loop corrections this is in general not expected to be possible. The reason is that loop corrections get non-negligible contributions from loop momenta with magnitude up to the Hubble scale H, at which scale classical physics is not expected to be a good approximation to the quantum theory. An explicit calculation of the one loop correction to the two point function, supports the argument that contributions from loop momenta of scale H are not negligible. Generalization of the arguments for the toy model to derivative interactions and the curvature perturbation leads to the conclusion that the leading orders of non-Gaussian effects generated after horizon exit, can be approximated quite well by classical methods. Furthermore we compare with a theorem by Weinberg. We find that growing loop corrections after horizon exit are not excluded, even in single field inflation.

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“…This directly implies that due to this serious drawback in the underlying structural setup it is not at all possible to set up a Bell inequality violating experimental setup in the context of cosmology. But to make a further strong conclusive statement regarding this issue one needs to investigate the decoherence effect and its impact in cosmological observation [10][11][12][13][14][15][16][17][18][19]. If the cosmological observables satisfy the basic requirements of the decoherence effect then it is possible to perform measurements from two exactly commuting cosmological observables and this can enable one to design a Bell inequality violating cosmological experimental setup.…”

Section: Is To Me So Great An Absurdity That I Believe No Man Who mentioning

confidence: 99%

“…Gravitational waves [7][8][9][10][12][13][14][15][16][17][18][19][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58] More generically, such interactions with the additional environment can be expressed in FLRW background as…”

Section: Setup For the Cosmological Bell Violating Experimentsmentioning

confidence: 99%

Bell violation in the sky

2017

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In this work, we have studied the possibility of setting up Bell's inequality violating experiment in the context of cosmology, based on the basic principles of quantum mechanics. First we start with the physical motivation of implementing the Bell inequality violation in the context of cosmology. Then to set up the cosmological Bell violating test experiment we introduce a model independent theoretical framework using which we have studied the creation of new massive particles by implementing the WKB approximation method for the scalar fluctuations in the presence of additional time-dependent mass contribution in the cosmological perturbation theory. Here for completeness we compute the total number density and the energy density of the newly created particles in terms of the Bogoliubov coefficients using the WKB approximation method. Next using the background scalar fluctuation in the presence of a new time-dependent mass contribution, we explicitly compute the expression for the one point and two point correlation functions. Furthermore, using the results for a one point function we introduce a new theoretical cosmological parameter which can be expressed in terms of the other known inflationary observables and can also be treated as a future theoretical probe to break the degeneracy amongst various models of inflation. Additionally, we also fix the scale of inflation in a model-independent way without any prior knowledge of primordial gravitational waves. Also using the input from a newly introduced cosmological parameter, we finally give a theoretical estimate for the tensor-to-scalar ratio in a modelindependent way. Next, we also comment on the technicalities of measurements from isospin breaking interactions and the future prospects of newly introduced massive particles in a cosmological Bell violating test experiment. Further, we a

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Decoherence from isocurvature perturbations in inflation

Cited by 51 publications

References 34 publications

Decoherence problem in an ekpyrotic phase

Decoherence problem in an ekpyrotic phase

Classical approximation to quantum cosmological correlations

Bell violation in the sky

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