Squeezed states from Kähler structures

Quantum Gravity Seminar, Perimeter Institute for Theoretical Physics

Squeezed states have a wide range of applications in physics, ranging from Hawking radiation, adiabatic vacua in Cosmology to integrable condensed matter systems. In loop quantum gravity, they can be used to describe semi-classical states with prescribed correlations. In my talk, I will introduce the underlying mathematical framework of a Kähler structure on phase space, which we can use to parametrize squeezed vacua in terms of linear complex structures. Our methods apply to both, fermionic and bosonic systems, and I will discuss key advantages for the study of entanglement and time evolution.

[Notes] | [Handout]