# Entangled scalar and tensor fluctuations during inflation

## Abstract

We show how the choice of an inflationary state that entangles scalar and tensor fluctuations affects the angular two-point correlation functions of the T, E, and B modes of the cosmic microwave background. The propagators for a state starting with some general quadratic entanglement are solved exactly, leading to predictions for the primordial scalar-scalar, tensor-tensor, and scalar-tensor power spectra. These power spectra are expressed in terms of general functions that describe the entangling structure of the initial state relative to the standard Bunch-Davies vacuum. We illustrate how such a state would modify the angular correlations in the CMB with a simple example where the initial state is a small perturbation away from the Bunch-Davies state. Because the state breaks some of the rotational symmetries, the angular power spectra no longer need be strictly diagonal.

- Authors:

- Department of Physics, Carnegie Mellon University,5000 Forbes Avenue, Pittsburgh, Pennsylvania (United States)

- Publication Date:

- Sponsoring Org.:
- SCOAP3, CERN, Geneva (Switzerland)

- OSTI Identifier:
- 22572195

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2016; Journal Issue: 11; Other Information: PUBLISHER-ID: JCAP11(2016)059; OAI: oai:repo.scoap3.org:18120; cc-by Article funded by SCOAP3. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 License. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CORRELATION FUNCTIONS; COSMOLOGICAL INFLATION; ENERGY SPECTRA; EXACT SOLUTIONS; FLUCTUATIONS; INFLATIONARY UNIVERSE; PERTURBATION THEORY; PROPAGATOR; QUANTUM ENTANGLEMENT; RELICT RADIATION; SCALARS; TENSORS; UNIVERSE; VACUUM STATES

### Citation Formats

```
Collins, Hael, and Vardanyan, Tereza.
```*Entangled scalar and tensor fluctuations during inflation*. United States: N. p., 2016.
Web. doi:10.1088/1475-7516/2016/11/059.

```
Collins, Hael, & Vardanyan, Tereza.
```*Entangled scalar and tensor fluctuations during inflation*. United States. doi:10.1088/1475-7516/2016/11/059.

```
Collins, Hael, and Vardanyan, Tereza. Tue .
"Entangled scalar and tensor fluctuations during inflation". United States.
doi:10.1088/1475-7516/2016/11/059.
```

```
@article{osti_22572195,
```

title = {Entangled scalar and tensor fluctuations during inflation},

author = {Collins, Hael and Vardanyan, Tereza},

abstractNote = {We show how the choice of an inflationary state that entangles scalar and tensor fluctuations affects the angular two-point correlation functions of the T, E, and B modes of the cosmic microwave background. The propagators for a state starting with some general quadratic entanglement are solved exactly, leading to predictions for the primordial scalar-scalar, tensor-tensor, and scalar-tensor power spectra. These power spectra are expressed in terms of general functions that describe the entangling structure of the initial state relative to the standard Bunch-Davies vacuum. We illustrate how such a state would modify the angular correlations in the CMB with a simple example where the initial state is a small perturbation away from the Bunch-Davies state. Because the state breaks some of the rotational symmetries, the angular power spectra no longer need be strictly diagonal.},

doi = {10.1088/1475-7516/2016/11/059},

journal = {Journal of Cosmology and Astroparticle Physics},

number = 11,

volume = 2016,

place = {United States},

year = {Tue Nov 29 00:00:00 EST 2016},

month = {Tue Nov 29 00:00:00 EST 2016}

}