XL Workshop on Geometric Methods in Physics Białowieża, 2-8.07.2023 XII School on Geometry and Physics Białystok, 26-30.06.2023

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.
Event sponsored by
University of Białystok
University of Białystok
Doskonala Nauka