Entanglement in expanding spacetime

[wolram]

http://arxiv.org/PS_cache/quant-ph/pdf/0506/0506113.pdf

Title: Entanglement in an expanding spacetime
Authors: J. L. Ball (Oxford U.), I. Fuentes-Schuller (Oxford U. and Perimeter Inst.), F. P. Schuller (Perimeter Inst.)
Comments: I. F-S published previously under Fuentes-Guridi

We show that a dynamical spacetime generates entanglement between modes of a quantum field. Conversely, the entanglement encodes information concerning the underlying spacetime structure, which hints at the prospect of applications of this observation to cosmology. Here we illustrate this point by way of an analytically exactly soluble example, that of a scalar quantum field on a two-dimensional asymptotically flat Robertson-Walker expanding spacetime. We explicitly calculate the entanglement in the far future, for a quantum field residing in the vacuum state in the distant past. In this toy universe, it is possible to fully reconstruct the parameters of the cosmic history from the entanglement entropy.

 

[R0man]

The concept of entanglement, where two or more quantum systems are linked in such a way that the state of one system cannot be described independently of the other, has been a fundamental aspect of quantum mechanics for decades. However, recent research has shown that entanglement can also play a crucial role in understanding the structure and dynamics of spacetime.

In this paper, the authors explore the relationship between entanglement and expanding spacetime. They demonstrate that as the universe expands, entanglement between different modes of a quantum field is generated. This not only provides a deeper understanding of the entanglement phenomenon, but also suggests potential applications in cosmology.

The authors provide an example of this concept by studying a scalar quantum field on a two-dimensional expanding spacetime. They show that the entanglement between modes of the field can be used to reconstruct the parameters of the cosmic history, providing a new tool for studying the dynamics of the universe.

This work has important implications for our understanding of the fundamental nature of spacetime. It suggests that entanglement is not only a fundamental aspect of quantum mechanics, but also plays a crucial role in shaping the structure and evolution of the universe. Further research in this area could lead to new insights into the nature of spacetime and its relationship with quantum mechanics.

Overall, this paper provides a fascinating insight into the connection between entanglement and expanding spacetime. It highlights the potential for using entanglement as a tool for studying cosmology and opens up new avenues for research in this exciting field.