Tunneling time in attosecond experiments and time-energy uncertainty relation

Abstract

In this work we present a theoretical model supported with a physical reasoning leading to a relation which performs an excellent estimation for the tunneling time in attosecond and strong field experiments, where we address the important case of the He-atom \cite{Eckle:2008s,Eckle:2008}. Our tunneling time estimation is found by utilizing the time-energy uncertainty relation and represents a quantum clock. The tunneling time is also featured as the time of passage (at the exit of the tunnel) similarly to the Einstein's {\it photon box Gedanken experiment}. Our work tackles an important study case for the theory of time in quantum mechanics and is very promising for the search for a (general) time operator in quantum mechanics. The work can be seen as a new fundamental step in dealing with the tunneling time in strong field and ultra-fast science, and is appealing for more elaborate treatments using quantum wave packet dynamics and especially for complex atoms and molecules.

arXiv commentArticle is also submiited to Phys. Rev. A

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Cited by in corpus (3)

• Timelessness strictly inside the Quantum Realm
• Tunneling in attosecond optical ionization and a dynamical time operator
• Statistical Approach to Tunneling Time in Attosecond Experiments