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Quantum-to-classical transition and imprints of continuous spontaneous localization in classical bouncing universes

Department of Physics, Indian Institute of Technology Madras, Chennai 600036, India

Current address: Indian Institute of Science Education and Research Mohali, Knowledge City, SAS Nagar, Punjab 140306, India.

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V. Sreenath

Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803, USA

E-mail Address: [email protected]

Current address: Department of Physics, National Institute of Technology Karnataka, Surathkal, Mangalore 575025, India.

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, and

L. Sriramkumar

Department of Physics, Indian Institute of Technology Madras, Chennai 600036, India

E-mail Address: [email protected]

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https://doi.org/10.1142/S0218271821500498Cited by:0

Abstract

The perturbations in the early universe are generated as a result of the interplay between quantum field theory and gravitation. Since these primordial perturbations lead to the anisotropies in the cosmic microwave background and eventually to the inhomogeneities in the Large Scale Structure (LSS), they provide a unique opportunity to probe issues which are fundamental to our understanding of quantum physics and gravitation. One such fundamental issue that remains to be satisfactorily addressed is the transition of the primordial perturbations from their quantum origins to the LSS which can be characterized completely in terms of classical quantities. Classical bouncing universes provide an alternative to the more conventional inflationary paradigm as they can help overcome the horizon problem in a fashion very similar to inflation. While the problem of the quantum-to-classical transition of the primordial perturbations has been investigated extensively in the context of inflation, we find that there has been a rather limited effort toward studying the issue in classical bouncing universes. In this work, we analyze certain aspects of this problem with the example of tensor perturbations produced in classical matter and near-matter bouncing universes. We investigate the issue mainly from two perspectives. First, we approach the problem by examining the extent of squeezing of a quantum state associated with the tensor perturbations with the help of the Wigner function. Second, we analyze the issue from the perspective of the quantum measurement problem. In particular, we study the effects of wave function collapse, using a phenomenological model known as continuous spontaneous localization, on the tensor power spectra. We conclude with a discussion of results.

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Vol. 30, No. 07

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Received 17 June 2020

Revised 16 February 2021

Accepted 26 February 2021

Published: 30 April 2021

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Quantum-to-classical transition and imprints of continuous spontaneous localization in classical bouncing universes

Abstract

References

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