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arXiv · 1512.00412

Real-Time Evolution of Strongly Coupled Fermions driven by Dissipation

Emilie Huffman·Debasish Banerjee·Shailesh Chandrasekharan·Uwe-Jens Wiese
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Abstract

We consider the real-time evolution of a strongly coupled system of lattice fermions whose dynamics is driven entirely by dissipative Lindblad processes, with linear or quadratic quantum jump operators. The fermion 2-point functions obey a closed set of differential equations, which can be solved with linear algebra methods. The staggered occupation order parameter of the t-V model decreases exponentially during the dissipative time evolution. The structure factor associated with the various Fourier modes shows the slowing down of low-momentum modes, which is due to particle number conservation. The processes with nearest-neighbor-dependent Lindblad operators have a decay rate that is proportional to the coordination number of the spatial lattice.

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Emilie Huffman, Debasish Banerjee, Shailesh Chandrasekharan, Uwe-Jens Wiese. 2016-11-03. Real-Time Evolution of Strongly Coupled Fermions driven by Dissipation. https://doi.org/10.1016/j.aop.2016.05.019

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