Berry phase via quantum Zeno effect

P. Facchi, A.G. Klein, S. Pascazio +1 more

Robert S. Whitney, Massimo Macucci, Giovanni Basso

We briefly review three ways that environmental noise can slow‐down (or speed‐up) quantum transitions; (i) Lamb shifts, (ii) over‐damping and (iii) orthogonality catastrophe. We compare them with the quantum Zeno effect induced by observing the system. These effects are relevant to poor qubits (those strongly coupled to noise). We discuss Berry phases generated by the orthogonality catastrophe, and argue that noise may make it easier to observe Berry phases.

Robert S. Whitney

We briefly review three ways that environmental noise can slow-down (or speed-up) quantum transitions; (i) Lamb shifts, (ii) over-damping and (iii) orthogonality catastrophe. We compare them with the quantum Zeno effect induced by observing the system. These effects are relevant to poor qubits (those strongly coupled to noise). We discuss Berry phases generated by the orthogonality catastrophe, and argue that noise may make it easier to observe Berry phases.

Christopher Moon, Laila S. Mattos, Brian K. Foster +1 more

Holger Lyre

Paolo Facchi A, A. G. Klein, Saverio Pascazio +1 more

We exhibit a specific implementation of the creation of geometrical phase through the state-space evolution generated by the dynamic quantum Zeno effect. That is, a system is guided through a closed loop in Hilbert space by means a sequence of closely spaced projections leading to a phase difference with respect to the original state. Our goal is the proposal of a specific experimental setup in which this phase could be created and observed. To this end we study the case of neutron spin, examine the practical aspects of realizing the “projections, ” and estimate the difference between the idealized projections and the The effect of the observer in quantum mechanics is perhaps nowhere more dramatic than in the collection of phenomena loosely (and casually) known as the “quantum Zeno effect. ” This was first formulated by von Neumann [1, 2], and is deeply rooted in fundamental features of the temporal behavior of quantum systems [3]. During