LA - UR - 96 - 4789 Displaced and Squeezed Number States

A ug 1 99 7 LA - UR - 97 - 2760 THE DISCOVERY OF SQUEEZED STATES — IN 1927

I first review a) the flowering of coherent states in the 1960’s, yet b) the discovery of coherent states in 1926, and c) the flowering of squeezed states in the 1970’s and 1980’s. Then, with the background of the excitement over the then new quantum mechanics, I describe d) the discovery of squeezed states in 1927.

Towards Even and Odd Squeezed Number States

The time evolution of even and odd squeezed states, as well as that of squeezed number states, has been given in simple, analytic form. This follows experimental work on trapped ions which has demonstrated even and odd coherent states, number states, and squeezed (but not displaced) ground states. We review this situation and consider the extension to even and odd squeezed number states. Questi...

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...

Temporal second-order coherence function for displaced-squeezed thermal states

We calculate the quantum mechanical, temporal second-order coherence function for a single-mode, degenerate parametric amplifier for a system in the Gaussian state, viz. a displaced– squeezed thermal state. The calculation involves first dynamical generation at time t of the Gaussian state from an initial thermal state and subsequent measurements of two photons a time τ ≥ 0 apart. The generatio...

Displaced squeezed number states: Position space representation, inner product, and some applications.