• Statistical features of quantum evolution

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/073/02/0251-0257

• # Keywords

$\mathcal{PT}$ symmetry; random matrix theory; time correlation functions.

• # Abstract

It is shown that the integral of the uncertainty of energy with respect to time is independent of the particular Hamiltonian of the quantum system for an arbitrary pseudo-unitary (and hence $\mathcal{PT}$ -) quantum evolution. The result generalizes the time– energy uncertainty principle for pseudo-unitary quantum evolutions. Further, employing random matrix theory developed for pseudo-Hermitian systems, time correlation functions are studied in the framework of linear response theory. The results given here provide a quantum brachistochrone problem where the system will evolve in a thermodynamic environment with spectral complexity that can be modelled by random matrix theory.

• # Author Affiliations

1. Nuclear Physics Division, Bhabha Atomic Research Centre, Mumbai 400 085, India

• # Pramana – Journal of Physics

Current Issue
Volume 93 | Issue 5
November 2019

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019