Quantum Statistical Complexity Measure as a Signalling of Correlation Transitions

Autor:	Cesário, André T., Ferreira, Diego L. B., Debarba, Tiago, Iemini, Fernando, Maciel, Thiago O., Vianna, Reinaldo O.
Rok vydání:	2020
Předmět:	Quantum Physics Physics - Applied Physics Physics - Computational Physics Physics - Data Analysis Statistics and Probability
Druh dokumentu:	Working Paper
Popis:	We introduce a quantum version for the statistical complexity measure, in the context of quantum information theory, and use it as a signalling function of quantum order-disorder transitions. We discuss the possibility for such transitions to characterize interesting physical phenomena, as quantum phase transitions, or abrupt variations in the correlation distributions. We apply our measure to two exactly solvable Hamiltonian models, namely: the $1D$-Quantum Ising Model and the Heisenberg XXZ spin-$1/2$ chain. We also compute this measure for one-qubit and two-qubit reduced states for the considered models, and analyse its behaviour across its quantum phase transitions for finite system sizes as well as in the thermodynamic limit by using Bethe ansatz. Comment: 12 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2002.01590 Zobrazit plný text záznamu View this record from Arxiv