2011/06/27 by S. Camalet · 11 citations
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Bipartite graph #Coupling (piping) #Ground state #Product (mathematics) #Quantum Information and Cryptography #Quantum many-body systems #State (computer science) #Steady state (chemistry) #Uncorrelated #cond-mat.mes-hall #quant-ph
paper · pdf · doi:10.1140/epjb/e2011-20520-4
published in The European Physical Journal B 84(3), 467-474 (Springer Science+Business Media)
arxiv created 2011/06/27 · openalex publication_date 2011/11/30 · arxiv updated 2015/05/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We determine and study the steady state of two independent two-level systems weakly coupled to a stationary non-equilibrium environment. Whereas this bipartite state is necessarily uncorrelated if the splitting energies of the two-level systems are different from each other, it can be entangled if they are equal. For identical two-level systems interacting with two bosonic heat baths at different temperatures, we discuss the influence of the baths temperatures and coupling parameters on their entanglement. Geometric properties, such as the baths dimensionalities and the distance between the two-level systems, are relevant. A regime is found where the steady state is a statistical mixture of the product ground state and of the entangled singlet state with respective weights 2/3 and 1/3.