Impact of dephasing on non-equilibrium steady-state transport in fermionic chains with long-range hopping
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866909167194734592 |
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| author | Sarkar, Subhajit Agarwalla, Bijay Kumar Bhakuni, Devendra Singh |
| author_facet | Sarkar, Subhajit Agarwalla, Bijay Kumar Bhakuni, Devendra Singh |
| contents | 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 ($\sim \frac{1}{r^α}$). We show the emergence of distinct transport regimes as the long-range hopping parameter $α$ is tuned. In the short-range limit ($α\gg 1$), transport is diffusive, while for the long-range limit ($α\sim \mathcal{O}(1)$), 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, $α_c \approx 1.5$, 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 $α$ varies from $α\leq 1$ to $α\lesssim 1.5$. Our results, thus, elucidate the intricate balance between dephasing and unitary dynamics, revealing novel steady-state transport features. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_01323 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Impact of dephasing on non-equilibrium steady-state transport in fermionic chains with long-range hopping Sarkar, Subhajit Agarwalla, Bijay Kumar Bhakuni, Devendra Singh Quantum Physics Mesoscale and Nanoscale Physics Statistical Mechanics Strongly Correlated Electrons 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 ($\sim \frac{1}{r^α}$). We show the emergence of distinct transport regimes as the long-range hopping parameter $α$ is tuned. In the short-range limit ($α\gg 1$), transport is diffusive, while for the long-range limit ($α\sim \mathcal{O}(1)$), 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, $α_c \approx 1.5$, 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 $α$ varies from $α\leq 1$ to $α\lesssim 1.5$. Our results, thus, elucidate the intricate balance between dephasing and unitary dynamics, revealing novel steady-state transport features. |
| title | Impact of dephasing on non-equilibrium steady-state transport in fermionic chains with long-range hopping |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Statistical Mechanics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2310.01323 |