Abstract

In this report, we consider cosmological implications of quantum entanglement between two causally disconnected universes in the multiverse. Supposing that our universe was initially entangled with a causally separated universe, we compute the spectrum of vacuum fluctuations of our universe. To clearly see the effect of entanglement, we compare it with the spectrum of an initially non-entangled state. It is found that, due to quantum interference, scale-dependent modulations may enter the spectrum for the case of an initially non-entangled state. We discuss that the existence of causally disconnected universes may be experimentally tested by analyzing correlators in detail.

Highlights

  • It has been suggested that our universe may not be the only universe but is part of a vast complex of universes by inflationary cosmology and string landscape

  • We discussed that cosmological implications of quantum entanglement between two causally disconnected de Sitter spaces in the multiverse

  • We considered that our universe (BD2) and our partner universe (BD1) was nucleated as an entangled state initially, each either with one-particle states or in vacuum

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Summary

Introduction

It has been suggested that our universe may not be the only universe but is part of a vast complex of universes by inflationary cosmology and string landscape. Maldacena and Pimentel calculated the entanglement entropy in a quantum field theory in the Bunch-Davies vacuum in de Sitter space [1] in the course of progress in string theory They showed that quantum entanglement can exist between two causally separated regions in de Sitter space. Assuming that one of them is our universe, we demonstrate how the difference between entangled and non-entangled initial states reflects on the spectrum of vacuum fluctuations. This has been done by us in [6,7] and this contribution is a report of the work.

Entangled States
Initially Entangled State and Its Spectrum
Initially Entangled State
Density Matrix
Spectrum
Initially Non-Entangled State and Its Spectrum
Initially Non-Entangled State
Entangled and Non-Entangled States with Two-Particle Discrepancy
Summary

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