Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Unraveling Soft Squeezing Transformations in Time-Variant Elastic Fields

Version 1 : Received: 10 April 2023 / Approved: 10 April 2023 / Online: 10 April 2023 (10:27:15 CEST)

A peer-reviewed article of this Preprint also exists.

Fuentes, J. Unraveling Soft Squeezing Transformations in Time-Variant Elastic Fields. Dynamics 2023, 3, 299-314. Fuentes, J. Unraveling Soft Squeezing Transformations in Time-Variant Elastic Fields. Dynamics 2023, 3, 299-314.

Abstract

Quantum squeezing, an intriguing phenomenon that amplifies the uncertainty of one variable while diminishing that of its conjugate, may be studied as a time-dependent process, with exact solutions frequently derived from frameworks grounded in adiabatic invariants. Remarkably, we reveal that exact solutions can be ascertained in the presence of time-variant elastic forces, eschewing dependence on invariants or frozen eigenstates formalism. Delving into these solutions as an inverse problem unveils their direct connection to the design of elastic fields, responsible for inducing squeezing transformations onto canonical variables. Of particular note, the dynamic transformations under investigation belong to a class of gentle quantum operations, distinguished by their delicate manipulation of particles, thereby circumventing the abrupt energy surges commonplace in conventional control protocols.

Keywords

Squeezing; Quantum Dynamics; Integrable Systems; Exact Solutions

Subject

Physical Sciences, Theoretical Physics

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.

Leave a public comment
Send a private comment to the author(s)
* All users must log in before leaving a comment
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.