TY - JOUR
T1 - Impact of dephasing on nonequilibrium steady-state transport in fermionic chains with long-range hopping
AU - Sarkar, Subhajit
AU - Agarwalla, Bijay Kumar
AU - Bhakuni, Devendra Singh
N1 - Publisher Copyright:
© 2024 American Physical Society.
PY - 2024/4/15
Y1 - 2024/4/15
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85189347956&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.109.165408
DO - 10.1103/PhysRevB.109.165408
M3 - Article
AN - SCOPUS:85189347956
SN - 2469-9950
VL - 109
JO - Physical Review B
JF - Physical Review B
IS - 16
M1 - 165408
ER -