Jesús Fuentes
Unraveling Soft Squeezing Transformations
Quantum squeezing, a captivating phenomenon that increases one variable's uncertainty while decreasing its conjugate's, can be examined as a time-dependent process, with precise solutions often found using adiabatic invariants-based frameworks. Impressively, Mielnik demonstrated that exact solutions can be identified with time-varying elastic forces, bypassing reliance on invariant formalism. Analyzing these solutions as an inverse problem reveals their direct association with designing elastic fields that generate squeezing transformations on canonical variables. The dynamic transformations explored belong to a gentle quantum operations class, characterized by refined particle manipulation, which avoids the sudden energy spikes typically found in conventional control protocols.
