Gravity and geometric phases

Geometric Phases

Phases of massive gravity

We systematically study the most general Lorentz-violating graviton mass invariant under three-dimensional Eucledian group. We find that at general values of mass parameters the massive graviton has six propagating degrees of freedom, and some of them are ghosts or lead to rapid classical instabilities. However, there is a number of different regions in the mass parameter space where massive gr...

Geometric Phases and Related Structures +

The phase of a single state is not an observable quantity. In particular, the phase commutes with the observables which define the system. Nevertheless the change of states is generally accompanied by a change of the phase that can be called phase transport. If a state w is changed in two different ways to become another state w’, the transport of the phases may yield different phases. Then the...

Geometric Phases and Gravitational Anomalies

An analysis is made of the motion of a quantum particle in a gravitational field. and it is shown that a geometric phase arises under certain conditions. The connection of this result with the emergence of gravitational anomalies is described.

Off-diagonal geometric phases.

We investigate the adiabatic evolution of a set of nondegenerate eigenstates of a parametrized Hamiltonian. Their relative phase change can be related to geometric measurable quantities that extend the familiar concept of Berry phase to the evolution of more than one state. We present several physical systems where these concepts can be applied, including an experiment on microwave cavities for...