Anomalous transport in long-ranged open quantum systems
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909214848319488 |
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| author | Dhawan, Abhinav Ganguly, Katha Kulkarni, Manas Agarwalla, Bijay Kumar |
| author_facet | Dhawan, Abhinav Ganguly, Katha Kulkarni, Manas Agarwalla, Bijay Kumar |
| contents | We consider a one-dimensional fermionic lattice system with long-ranged power-law decaying hopping with exponent $α$. The system is further subjected to dephasing noise in the bulk. We investigate two variants of the problem: (i) an open quantum system where the setup is further subjected to boundary reservoirs enabling the scenario of a non-equilibrium steady state charge transport, and (ii) time dynamics of an initially localized single particle excitation in the absence of boundary reservoirs. In both variants, anomalous super-diffusive behavior is observed for $1< α< 1.5$, and for $α> 1.5$ the setup is effectively short-ranged and exhibits conventional diffusive transport. Our findings are supported by analytical calculations based on the multiple-scale analysis technique that leads to the emergence of a fractional diffusion equation for the density profile. Our study unravels an interesting interplay between long-range interaction and dephasing mechanism that could result in the emergence of unconventional behaviour in open quantum systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_00768 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Anomalous transport in long-ranged open quantum systems Dhawan, Abhinav Ganguly, Katha Kulkarni, Manas Agarwalla, Bijay Kumar Statistical Mechanics Mesoscale and Nanoscale Physics We consider a one-dimensional fermionic lattice system with long-ranged power-law decaying hopping with exponent $α$. The system is further subjected to dephasing noise in the bulk. We investigate two variants of the problem: (i) an open quantum system where the setup is further subjected to boundary reservoirs enabling the scenario of a non-equilibrium steady state charge transport, and (ii) time dynamics of an initially localized single particle excitation in the absence of boundary reservoirs. In both variants, anomalous super-diffusive behavior is observed for $1< α< 1.5$, and for $α> 1.5$ the setup is effectively short-ranged and exhibits conventional diffusive transport. Our findings are supported by analytical calculations based on the multiple-scale analysis technique that leads to the emergence of a fractional diffusion equation for the density profile. Our study unravels an interesting interplay between long-range interaction and dephasing mechanism that could result in the emergence of unconventional behaviour in open quantum systems. |
| title | Anomalous transport in long-ranged open quantum systems |
| topic | Statistical Mechanics Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2406.00768 |