2012/10/23 by A. Thilagam, A Thilagam
Computer Science · Physics and Astronomy · #Hamiltonian (control theory) #Multipartite #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Non-Hermitian Physics #Quantum Zeno effect #Quantum chaos and dynamical systems #Quantum discord #Quantum dynamics #Quantum entanglement #Quantum measurement #Quantum system #quant-ph
paper · pdf · doi:10.1088/1751-8113/45/44/444031
published as J. Phys. A: Math. Theor. 45, 444031 (2012) · 13 pages, misprints fixed
openalex publication_date 2012/10/23 · arxiv created 2012/11/05 · arxiv updated 2015/06/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We examine the physical manifestations of exceptional points and passage times in a two-level system which is subjected to quantum measurements and which admits a non-Hermitian description. Using an effective Hamiltonian acting in the two-dimensional space spanned by the evolving initial and final states, the effects of highly precise quantum measurements in which the monitoring device interferes significantly with the evolution dynamics of the monitored two-level system is analyzed. The dynamics of a multipartite system consisting of the two-level system, a source of external potential and the measurement device is examined using correlation measures such as entanglement and non-classical quantum correlations. Results show that the quantum correlations between the monitored (monitoring) systems is considerably decreased (increased) as the measurement precision nears the exceptional point, at which the passage time is half of the measurement duration. The results indicate that the underlying mechanism by which the non-classical correlations of quantum systems are transferred from one subsystem to another may be better revealed via use of geometric approaches. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to 'Quantum physics with non-Hermitian operators'.