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

Subhajit Sarkar, Bijay Kumar Agarwalla, Devendra Singh Bhakuni

Research output: Contribution to journalArticlepeer-review

Abstract

Quantum transport in nonequilibrium settings 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 interactions with a noisy environment and can profoundly modify transport properties. Here we investigate the impact of dephasing on the nonequilibrium steady-state transport properties of noninteracting fermions on a one-dimensional lattice with long-range hopping (proportional to 1/rα), where α>1. We demonstrate the emergence of distinct transport regimes as the long-range hopping parameter, α, is tuned. In the short-range limit (α≫1), transport is diffusive. Conversely, in the long-range limit [α∼O(1)], we observe a superdiffusive transport regime. Using numerical simulations of the Lindblad master equation and corroborating these with an analysis of the current-operator norm, we identify a critical long-range hopping parameter, αc≈1.5, below which superdiffusive transport becomes pronounced and rapidly becomes independent of the dephasing strength. Our results elucidate the intricate balance between dephasing and unitary dynamics, revealing steady-state transport features.

Original languageEnglish
Article number165408
JournalPhysical Review B
Volume109
Issue number16
DOIs
StatePublished - 15 Apr 2024

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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