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Berlin 2015 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 26: Quantum Dynamics, Decoherence and Quantum Information (jointly with DY)

TT 26.6: Talk

Monday, March 16, 2015, 16:15–16:30, BH-N 334

Entanglement content of non-equilibrium steady states — •Zoltán Zimborás1 and Viktor Eisler21University College London, UK — 2Eötvös University, Budapest, Hungary

We study the nonequilibrium steady state of a chain of harmonic oscillators and a chain of free fermions, resulting from an initial state where the two sides of the system are prepared at different temperatures. The steady state is constructed explicitly and the logarithmic negativity and mutual information is calculated between two adjacent segments of the chain. We find that, for the fermion chain the mutual information diverges logarithmically, while for the harmonic chain the steady-state negativity follows an area law and is a sum of contributions pertaining to left- and right-moving excitations emitted from the two reservoirs. As a particular case, we also discuss a local quench where both sides of the chain are initialized in their respective ground states.

[1] V. Eisler, Z. Zimborás, Phys. Rev. A 89, 032321 (2014)

[2] V. Eisler, Z. Zimborás, arXiv:1406.5474

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