2014/06/30 by Viktor Eisler, Zoltán Zimborás, Zoltan Zimboras · 149 citations
Computer Science · Physics and Astronomy · #Chain (unit) #Conformal map #Field (mathematics) #Harmonic #Logarithm #Negativity effect #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum entanglement #Quantum many-body systems #cond-mat.stat-mech #quant-ph
paper · pdf · open access · doi:10.1088/1367-2630/16/12/123020
published in New Journal of Physics 16(12), 123020 (IOP Publishing) · 19 pages, 7 figures, small changes, references added, published version
openalex publication_date 2014/12/08 · arxiv created 2014/12/10 · arxiv updated 2014/12/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the entanglement in a chain of harmonic oscillators driven out of equilibrium by preparing the two sides of the system at different temperatures, and subsequently joining them together. The steady state is constructed explicitly and the logarithmic negativity is calculated between two adjacent segments of the chain. We find that, for low temperatures, the steady-state entanglement is a sum of contributions pertaining to left- and right-moving excitations emitted from the two reservoirs. In turn, the steady-state entanglement is a simple average of the Gibbs-state values and thus its scaling can be obtained from conformal field theory. A similar averaging behaviour is observed during the entire time evolution. As a particular case, we also discuss a local quench where both sides of the chain are initialized in their respective ground states.