Quantum Field Theory of BECs
We now consider the Bogoliubov theory of a Bose Einstein condensate, which describes the phonon field as a quantum field, and allows to study quantum field phenomena at low energies, including vacuum fluctuations and phonon emission. Mechanisms for phonon pair creation from vacuum are similar to those known for photons in quantum electrodynamics, and will be discussed in this chapter. They include: time refraction, the dynamical Casimir effect and Hawking radiation. This last radiation process also allows us to discuss condensate analogues of a gravitational field and the equivalent space-time metric.
- 12.B.F. Schutz, A First Course in General Relativity (Cambridge University Press, Cambridge, 1985)Google Scholar