Abstract

If frequent measurements ascertain whether a quantum system is still in a given subspace, it remains in that subspace and a quantum Zeno effect takes place. The limiting time evolution within the projected subspace is called quantum Zeno dynamics. This phenomenon is related to the limit of a product formula obtained by intertwining the time evolution group with an orthogonal projection. By introducing a novel product formula, we will give a characterization of the quantum Zeno effect for finite-rank projections in terms of a spectral decay property of the Hamiltonian in the range of the projections. Moreover, we will also characterize its limiting quantum Zeno dynamics and exhibit its -- not necessarily bounded from below -- generator as a generalized mean value Hamiltonian.

Autore Pugliese

• Ligabo' Marilena , Facchi Paolo

Tutti gli autori

• LIGABO' M.;FACCHI P.

Titolo volume/Rivista

Non Disponibile

Anno di pubblicazione

2010

ISSN

0022-2488

ISBN

Non Disponibile

Numero di citazioni Wos

15

Ultimo Aggiornamento Citazioni

Non Disponibile

Numero di citazioni Scopus

14

Ultimo Aggiornamento Citazioni

Non Disponibile

Settori ERC

Non Disponibile

Codici ASJC

Non Disponibile