1012.1337 (Ran Cheng)

Quantum Geometric Tensor (Fubini-Study Metric) in Simple Quantum System:
A pedagogical Introduction    [PDF]

Ran Cheng

Geometric Quantum Mechanics is a novel and prospecting approach motivated by the belief that our world is ultimately geometrical. At the heart of that is a quantity called Quantum Geometric Tensor (or Fubini-Study metric), which is a complex tensor with the real part serving as the Riemannian metric that measures the `quantum distance', and the imaginary part being the Berry curvature. Following a physical introduction of the basic formalism, we illustrate its physical significance in both the adiabatic and non-adiabatic systems.

View original: http://arxiv.org/abs/1012.1337