Overbeck VR, Maghrebi MF, Gorshkov AV, Weimer H. Multicritical behavior in dissipative Ising models.
PHYSICAL REVIEW. A 2017;
95:10.1103/PhysRevA.95.042133. [PMID:
31093585 PMCID:
PMC6513333 DOI:
10.1103/physreva.95.042133]
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Abstract
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.
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