The Relevance of Berry Phase in Quantum Physics

Yuriy Mokrousov

Tao Liu, Mang Feng, Kelin Wang

With reference to the vacuum-induced Berry phase (VIBP) obtained in the interaction of a spin-1/2 particle with quantized irradiation field under rotating-wave approximation (RWA), we present a completely different treatment for the VIBP by a fully quantum-mechanical treatment beyond the RWA, which gives different definition of the VIBP and indicates the validity of RWA to be relevant not only to the energy conservation and comparison of characteristic parameters, but also to more subtle physics, such as the geometric property of the state evolution. Our result is of conceptual importance and also of significant relevance to quantum-information processing.

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.

Holger Lyre

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.

Charis Anastopoulos, Ntina Savvidou