Excitation of time-dependent quantum systems:an application of time-energy uncertainty relations

TL;DR

This paper investigates how time-energy uncertainty relations influence the minimal time required to excite quantum systems from their ground state, applying generalized inequalities to specific fermionic and bosonic models.

Contribution

It extends the application of time-energy uncertainty relations to time-dependent quantum systems, providing explicit formulations for fermionic and bosonic cases.

Findings

Generalized inequalities are derived for specific quantum systems.

Conditions for minimizing excitation time are identified.

Applications to fermionic and bosonic models are demonstrated.

Abstract

The conditions under which time-energy uncertainty relations derived by Deffner and Lutz [10] for time-dependent quantum systems minimize the time necessary to excite such systems from their ground state to excited states are examined. The generalized Margolus-Levitin and Mandelstam-Tamm inequalities are worked out for specific fermionic and bosonic systems.