ELFT HÍRADÓ

[StatFizSzeminar <statfiz AT glu.elte.hu>]

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             ELTE TTK Fizikai Intézet
         STATISZTIKUS FIZIKAI SZEMINÁRIUM


                  2018. október 24.
                    szerda, 11.00 

                  Zoltán Zimborás

                    Wigner RMI

"Generalized quantum Zeno dynamics and ergodic means"

We prove the existence of uniform limits for certain
sequences of products of contractions and elements of
uniformly continuous propagators acting on a Hilbert
or a Banach space. From the point of view of Quantum
Physics, the considered sequences can represent the 
evolution of a system whose dynamics, described by a 
continuous propagator, is disturbed by a sequence of 
generic quantum operations (e.g., projective measure-
ments or unitary pulses). This includes and also gener-
alizes  the so-called quantum Zeno dynamics. The time-
evolution obtained from the limits of the considered
sequences are described by propagators generated by 
ergodic mean operators. The notion of such ergodic mean
operators is generalized in this paper to also include
propagators of time-dependent generators, and thus our
results can be used to develop new forms of active de-
coherence suppression. For time independent, hamiltonian
generators of finitely many spectral points, we prove 
exponentially improved error bounds on the convergence
of the aforementioned products.

Joint work with Norbert Barankai (MTA-ELTE Theoretical
Physics Research Group)

1117, Budapest, Pázmány P. sétány 1/A, Északi tömb 2.54
        honlap: http://glu.elte.hu/~statfiz

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