## Gravitational self-interactions of a degenerate quantum scalar field

## Abstract

We develop a formalism to help calculate in quantum field theory the departures from the description of a system by classical field equations. We apply the formalism to a homogeneous condensate with attractive contact interactions and to a homogeneous self-gravitating condensate in critical expansion. In their classical descriptions, such condensates persist forever. We show that in their quantum description, parametric resonance causes quanta to jump in pairs out of the condensate into all modes with wave vector less than some critical value. We calculate, in each case, the time scale over which the homogeneous condensate is depleted and after which a classical description is invalid. We argue that the duration of classicality of inhomogeneous condensates is shorter than that of homogeneous condensates.

- Authors:

- Univ. of Florida, Gainesville, FL (United States)

- Publication Date:

- Research Org.:
- College of William and Mary, Williamsburg, VA (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1422848

- Alternate Identifier(s):
- OSTI ID: 1507733

- Grant/Contract Number:
- FG02-02ER41209; FG02-97ER41209; 2015-109

- Resource Type:
- Published Article

- Journal Name:
- Physical Review D

- Additional Journal Information:
- Journal Volume: 97; Journal Issue: 4; Journal ID: ISSN 2470-0010

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS

### Citation Formats

```
Chakrabarty, Sankha S., Enomoto, Seishi, Han, Yaqi, Sikivie, Pierre, and Todarello, Elisa M. Gravitational self-interactions of a degenerate quantum scalar field. United States: N. p., 2018.
Web. doi:10.1103/physrevd.97.043531.
```

```
Chakrabarty, Sankha S., Enomoto, Seishi, Han, Yaqi, Sikivie, Pierre, & Todarello, Elisa M. Gravitational self-interactions of a degenerate quantum scalar field. United States. doi:10.1103/physrevd.97.043531.
```

```
Chakrabarty, Sankha S., Enomoto, Seishi, Han, Yaqi, Sikivie, Pierre, and Todarello, Elisa M. Tue .
"Gravitational self-interactions of a degenerate quantum scalar field". United States. doi:10.1103/physrevd.97.043531.
```

```
@article{osti_1422848,
```

title = {Gravitational self-interactions of a degenerate quantum scalar field},

author = {Chakrabarty, Sankha S. and Enomoto, Seishi and Han, Yaqi and Sikivie, Pierre and Todarello, Elisa M.},

abstractNote = {We develop a formalism to help calculate in quantum field theory the departures from the description of a system by classical field equations. We apply the formalism to a homogeneous condensate with attractive contact interactions and to a homogeneous self-gravitating condensate in critical expansion. In their classical descriptions, such condensates persist forever. We show that in their quantum description, parametric resonance causes quanta to jump in pairs out of the condensate into all modes with wave vector less than some critical value. We calculate, in each case, the time scale over which the homogeneous condensate is depleted and after which a classical description is invalid. We argue that the duration of classicality of inhomogeneous condensates is shorter than that of homogeneous condensates.},

doi = {10.1103/physrevd.97.043531},

journal = {Physical Review D},

number = 4,

volume = 97,

place = {United States},

year = {2018},

month = {2}

}

DOI: 10.1103/physrevd.97.043531

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