Impact of dephasing on non-equilibrium steady-state transport in fermionic chains with long-range hopping

• URL: http://arxiv.org/abs/2310.01323v2
• Date: Sun, 22 Oct 2023 15:36:30 GMT
• Title: Impact of dephasing on non-equilibrium steady-state transport in fermionic chains with long-range hopping
• Authors: Subhajit Sarkar, Bijay Kumar Agarwalla, Devendra Singh Bhakuni
• Abstract summary: We investigate the impact of dephasing on the non-equilibrium steady-state transport properties of non-interacting fermions on a one-dimensional lattice. We find a crossover from logarithmic to power-law system-size dependence in the non-equilibrium steady-state resistance when $alpha$ varies from $alpha leq 1$ to $alpha lesssim 1.5$.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum transport in a non-equilibrium setting plays a fundamental role in understanding the properties of systems ranging from quantum devices to biological systems. Dephasing -- a key aspect of out-of-equilibrium systems -- arises from the interactions with the noisy environment and can profoundly modify transport features. Here, we investigate the impact of dephasing on the non-equilibrium steady-state transport properties of non-interacting fermions on a one-dimensional lattice with long-range hopping ($\sim \frac{1}{r^\alpha}$). We show the emergence of distinct transport regimes as the long-range hopping parameter $\alpha$ is tuned. In the short-range limit ($\alpha \gg 1$), transport is diffusive, while for the long-range limit ($\alpha \sim \mathcal{O}(1)$), we observe a super-diffusive transport regime. Using the numerical simulation of the Lindblad master equation, and corroborated with the analysis of the current operator norm, we identify a critical long-range hopping parameter, $\alpha_c \approx 1.5$, below which super-diffusive transport becomes evident that quickly becomes independent of the dephasing strength. Interstingly, within the super-diffusive regime, we find a crossover from logarithmic to power-law system-size dependence in the non-equilibrium steady-state resistance when $\alpha$ varies from $\alpha \leq 1$ to $\alpha \lesssim 1.5$. Our results, thus, elucidate the intricate balance between dephasing and unitary dynamics, revealing novel steady-state transport features.

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