Stuttgart 2012 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 27: Quantengase: Optische Gitter 2

Q 27.6: Talk

Tuesday, March 13, 2012, 15:15–15:30, V53.01

Critical exponents of flux-equilibrium phase transitions in fermionic lattice models — •Michael Höning, Matthias Moos, and Michael Fleischhauer — Fachbereich Physik und Forschungszentrum OPTIMAS, Technische Universität Kaiserslautern, D-67663 Kaiserslautern, Germany

We discuss reservoir induced phase transitions in a flux-equilibrium state of fermionic lattice models coupled to local reservoirs. The interaction with the environment can induce correlations in the system, which - under certain conditions - may become critical in the sense of a divergent correlation length and time. In analogy to phase transitions in unitary systems the spectrum of decay rates of the corresponding Liouvillian becomes gapless when the critical state is approached.

We derive the static and dynamical critical exponents for a class of couplings and show that their possible values, defining classes of flux-equilibrium phase transitions are determined by the range of the independent local reservoirs.