Overbeck Vincent R, Maghrebi Mohammad F, Gorshkov Alexey V, Weimer Hendrik
Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstraße 2, 30167 Hannover, Germany.
Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, NIST/University of Maryland, College Park, Maryland 20742, USA.
Phys Rev A (Coll Park). 2017;95. doi: 10.1103/PhysRevA.95.042133.
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.
我们使用变分方法从理论上分析了横向场中耗散伊辛模型的多体动力学。我们发现，与平衡态相比，稳态相图有显著改变，包括出现了一个属于不同普适类的多临界点。基于我们的变分分析，我们建立了一种与金兹堡 - 朗道理论的耗散变体相对应的场论处理方法，这使我们能够计算该系统的上临界维度。最后，我们提出了一种使用超冷里德堡气体实现耗散伊辛模型的可能实验方案。
