Nonequilibrium phase transition in a driven-dissipative quantum antiferromagnet

Abstract

Now we have found the quadruples in momentum space, but in order to compute the time evolution using the energy grid in Fig. S4 we need to turn the quadruple list into an energy list with ω 1 , ω 2 , ω 3 and ω 4 and then average for each given e1 over the multiple entries. This gives a consolidated list of energy quadruples and their weights. 5) Convert Momentum Quadruples into Energy Quadruples1: for ω ∈ energybins do 2:for k ∈ kweight@energybin [#ω] do 3:Find energy bins associated with k 1 , k 2 , k 3 and k 4 → {ω 1 , ω 2 , ω 3 , ω 4 } 6:Safe energyquadruples [#ω] [#equadruple] [{ω 1 , ω 2 , ω 3 , ω 4 }]

Memory truncated Kadanoff-Baym equations

“…As a paradigmatic example, we illustrate the use of the truncated KBE for the dynamics of superconducting fluctuations after an interaction quench in the attractive three-dimensional Hubbard model in the vicinity of the superconducting phase transition. While the late-time dynamics of the order parameter should follow a phenemenological description within time-dependent Ginzburg-Landau theory [5], the consistent microscopic description of spatial order parameter fluctuations and the electron dynamics is challenging [5,[73][74][75][76]. Microscopic simulations of the Hubbard model could demonstrate how early nonthermal electron distributions can leave a signature in the order parameter fluctuations at later times [11].…”