Analog cosmology with spinor BECs

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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Talk given at the "II Amazonian Symposium on Physics - Analogue Models of Gravity 30 Years Celebration"

Scientific paper

It is well known that both a particle with spin and a quantum field in a Bianchi type IX Universe are related to the quantum mechanical top. In an earlier communication we combined these insights to show that the dynamics of a cold gas of atoms with total momentum $F\neq 0$ may be used to explore the behavior of quantum matter in the Taub space time. However, in that work we did not go beyond the test field approximation. Since then, it has been realized that analog gravitational models need not be confined to the kinematics of gravitation. They may be used to explore certain aspects of space-time dynamics as well as fundamental issues such as the nature of semiclassical approximations. With this in mind we shall reexamine our earlier proposal to show that the same effect occurs due to the magnetic field generated by the condensate itself. This will open the possibility of writing a self-consistent evolution for the model.

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