Relative phase shifts for metaplectic isotopies acting on mixed Gaussian states

Phase estimation for thermal Gaussian states

We give the optimal bounds on the phase-estimation precision for mixed Gaussian states in the single-copy and many-copy regimes. Specifically, we focus on displaced thermal and squeezed thermal states. We find that while for displaced thermal states an increase in temperature reduces the estimation fidelity, for squeezed thermal states a larger temperature can enhance the estimation fidelity. T...

Howe type duality for metaplectic group acting on symplectic spinor valued forms

Let λ : G̃ → G be the non-trivial double covering of the symplectic group G = Sp(V, ω) of the symplectic vector space (V, ω) by the metaplectic group G̃ = Mp(V, ω). In this case, λ is also a representation of G̃ on the vector space V and thus, it gives rise to the representation of G̃ on the space of exterior forms ∧• V by taking wedge products. Let S be the minimal globalization of the Harish-Chan...

Feynman path integrals on phase space and the metaplectic representation

Groups acting on Gaussian graphical models

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Atomic phase shifts in mixed-glass, multi-petawatt laser systems.

The influence of the active gain medium on the spectral amplitude and phase of amplified, femtosecond pulses in a laser system is studied. Results from a case study of a 15-petawatt laser based on Nd-doped mixed glasses show that gain-induced atomic phase shifts will distort the pulses, reducing their peak power. It is also shown that a phase compensation solution is possible and the correspond...