Berlin 2018 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 47: Nonequilibrium Quantum Many-Body Systems II (joint session TT/DY)

DY 47.10: Vortrag

Mittwoch, 14. März 2018, 17:45–18:00, H 3010

The Lipkin-Meshkov-Glick model with Markovian dissipation — •João S. Ferreira and Pedro Ribeiro — CeFEMA, Instituto Superior Técnico, Universidade de Lisboa Av. Rovisco Pais, 1049-001 Lisboa, Portugal

Motivated by recent prototypes of enginereed atomic spin devices, we study a fully connected system of n spins 1/2, modeled by the Lipkin-Meshkov-Glick (LMG) model of a collective spin s=n/2, in the presence of Markovian dissipation processes. Employing semi-classical and variational methods and a systematic Holdstein-Primakov mapping, we determine the semi-classic equations of motion, the phase diagram and spectral properties of the Liouvillian by studying both the thermodynamic limit and 1/s corrections. Our approach reveals the existence of: dynamical phase transitions for finite s, tri-stable steady state regions and recurrent regions where the system fails to thermalize.