Speaker
Description
Here, we explored the Berry’s geometric phases through the Lewis phases. Considering a gravitational wave carrying only plus polarization and interacting with an isotropic two dimensional quantum harmonic oscillator, we showed how the geometric phase which is completely dependent on the gravitational perturbation due to the incoming gravitational wave, can be revealed from the adiabatically approximated form of Lewis phase which essentially connects the eigenstate of Lewis invariant to the Hamiltonian eigenstate. We not only present an elegant method for finding the Berry phase but also clarify the underlying nature of Berry's geometric phase by obtaining explicit expressions for the non-trivial Berry phase in the case of a plane-polarized gravitational wave, with different choices for the harmonic oscillator frequency. Finally, we consider a gravitational wave, with cross polarization only, interacting with an isotropic two-dimensional harmonic oscillator. By rotating the coordinate system, we show that the cross polarization is effectively similar to plus polarization in this new basis. For this, we again obtain the Lewis phase and the total Berry phase of the system. Our study suggests that the non-trivial Berry phase in this setup could serve as an effective tool for detecting gravitational waves.
| Field of contribution | Theory |
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