Quantum Correlations in One Parameter Mixed Quantum States

TL;DR

This paper studies the dynamics of quantum correlations in various one-parameter and two-parameter mixed quantum states under the bipartite Ising model with an external magnetic field, focusing on their behavior relative to mixedness.

Contribution

It extends the family of mixed quantum states to include a two-parameter set and analyzes their quantum correlations under specific Hamiltonian dynamics.

Findings

Quantum correlations vary with mixedness and external magnetic field.

Two-parameter states show distinct correlation dynamics compared to one-parameter states.

Quantum correlations are sensitive to the degree of mixedness in the states.

Abstract

Munero et. al. developed one parameter family of mixed states $\rho^{l}$, which are more entangled than bipartite Werner state. The similar family of mixed states $\rho^{n}$ are developed by L. Derkacz et. al. with differed approach. Further the author extend $\rho^{n}$ to two parameter family of quantum states $\rho^{m}$ and characterized these states in terms of Bell inequality violation against their mixedness. In the present article, we investigate the comparative dynamics of all mixed states $(\rho^{l},\rho^{n},\rho^{m})$ under the bipartite Ising Hamiltonian exposed by the external magnetic field and investigate the dynamics of quantum correlations against the mixedness quantified by linear entropy