Multicritical behavior in dissipative Ising models

TitleMulticritical behavior in dissipative Ising models
Publication TypeJournal Article
Year of Publication2017
AuthorsOverbeck, VR, Maghrebi, MF, Gorshkov, AV, Weimer, H
JournalPhysical Review A
Date Published2017/04/26

We analyze theoretically the many-body dynamics of a dissipative Ising model in a transverse field using a variational approach. We find that the steady state phase diagram is substantially modified compared to its equilibrium counterpart, including the appearance of a multicritical point belonging to a different universality class. Building on our variational analysis, we establish a field-theoretical treatment corresponding to a dissipative variant of a Ginzburg-Landau theory, which allows us to compute the upper critical dimension of the system. Finally, we present a possible experimental realization of the dissipative Ising model using ultracold Rydberg gases.