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**From**: StatFizSzeminar <statfiz AT glu.elte.hu>**To**: fizinfo AT lists.kfki.hu**Subject**: [Fizinfo] Stat Fiz Szeminarium**Date**: Mon, 22 Oct 2018 12:47:23 +0200

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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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**[Fizinfo] Stat Fiz Szeminarium**,*StatFizSzeminar, 10/02/2018*- <Possible follow-up(s)>
**[Fizinfo] Stat Fiz Szeminarium**,*StatFizSzeminar, 10/22/2018***[Fizinfo] Stat Fiz Szeminarium**,*StatFizSzeminar, 10/27/2018*

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