Engineering quasi-steady-state correlations in uncorrelated thermal states using stochastic driving

• URL: http://arxiv.org/abs/2205.06092v3
• Date: Mon, 19 Sep 2022 18:33:18 GMT
• Title: Engineering quasi-steady-state correlations in uncorrelated thermal states using stochastic driving
• Authors: Armin Rahmani
• Abstract summary: Nonequilibrium quantum dynamics can give rise to the emergence of novel steady states. We propose a scheme for driving an initially uncorrelated thermal state to generate customized correlation functions. We find that the power-law patterns emerge at much shorter times than the convergence to the steady state, at which point the disorder in the two-point correlations disappears.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Nonequilibrium quantum dynamics can give rise to the emergence of novel steady states. We propose a scheme for driving an initially uncorrelated thermal state to generate customized correlation functions by determining and reverse engineering the steady-state two-point functions for a class of Markov processes. We also extend the formalism to the calculation of four-point functions. We then apply our method to generating power-law correlated fermionic Green's functions. Furthermore, we find that the power-law patterns emerge at much shorter times than the convergence to the steady state, at which point the disorder in the two-point correlations disappears. On the other hand, the density-density correlations exhibit steady-state disorder while following a power-law trendline. These ideal steady states appear as intermediate-time quasi-steady states in the presence of perturbations.

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