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

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 $\alpha \le 1$ to $\alpha \lesssim 1.5$. Our results, thus, elucidate the intricate balance between dephasing and unitary dynamics, revealing novel steady-state transport features.

arXiv commentComments are welcome

References in corpus (61)

• Quantum Computation with Quantum Dots
• Relaxation and Pre-thermalization in an Isolated Quantum System
• Observation of entanglement propagation in a quantum many-body system
• Environment-Assisted Quantum Transport
• Non-local propagation of correlations in long-range interacting quantum systems
• Finite-temperature transport in one-dimensional quantum lattice models
• Absence of diffusion in an interacting system of spinless fermions on a one-dimensional disordered lattice
• The Ergodic Side of the Many-Body Localization Transition
• Entanglement entropy for the long range Ising chain
• Kitaev chains with long-range pairing
• Observation of a prethermal discrete time crystal
• Entanglement growth in quench dynamics with variable range interactions
• Heat transport in harmonic lattices
• Environment-assisted quantum transport in a 10-qubit network
• Measurement-induced dark state phase transitions in long-ranged fermion systems
• Exact solution for a diffusive nonequilibrium steady state of an open quantum chain
• Long-range Ising and Kitaev Models: Phases, Correlations and Edge Modes
• Fate of measurement-induced phase transition in long-range interactions
• Continuous symmetry breaking and a new universality class in 1D long-range interacting quantum systems
• Observing emergent hydrodynamics in a long-range quantum magnet
• Finite speed of quantum scrambling with long range interactions
• Diverging equilibration times in long-range quantum spin models
• Strictly linear light cones in long-range interacting systems of arbitrary dimensions
• Crossover between ballistic and diffusive transport: The Quantum Exclusion Process
• Many body localization with long range interactions
• Quantum simulation of Fermi-Hubbard models in semiconductor quantum dot arrays
• Dephasing-induced diffusive transport in anisotropic Heisenberg model
• Hierarchy of linear light cones with long-range interactions
• Cooperative shielding in many-body systems with long-range interaction
• Shielding and localization in presence of long range hopping
• Transport in a disordered tight-binding chain with dephasing
• Origin of the slow growth of entanglement entropy in long-range interacting spin systems
• Noise-induced subdiffusion in strongly localized quantum systems
• Metastability and discrete spectrum of long-range systems
• Fractality in nonequilibrium steady states of quasiperiodic systems
• Absence of fast scrambling in thermodynamically stable long-range interacting systems
• Non-local emergent hydrodynamics in a long-range quantum spin system
• The operator Lévy flight: light cones in chaotic long-range interacting systems
• Real-time broadening of non-equilibrium density profiles and the role of the specific initial-state realization
• Area law of non-critical ground states in 1D long-range interacting systems
• Universal threshold for the dynamical behavior of lattice systems with long-range interactions
• Exact description of quantum stochastic models as quantum resistors
• Do photosynthetic complexes use quantum coherence to increase their efficiency? Probably not
• Interplay of Soundcone and Supersonic Propagation in Lattice Models with Power Law Interactions
• Master Equations for Electron Transport: The Limits of the Markovian Limit
• Density dynamics from current auto-correlations at finite time- and length-scales
• Dephasing enhanced spin transport in the ergodic phase of a many-body localizable system
• When can quantum decoherence be mimicked by classical noise?
• Open System Tensor Networks and Kramers' Crossover for Quantum Transport
• Exactly solvable model of quantum diffusion
• Signatures of discrete time-crystallinity in transport through an open Fermionic chain
• Landauer Current and Mutual Information
• Logarithmic, noise-induced dynamics in the Anderson insulator
• Suppression of heating by long-range interactions in periodically driven spin chains
• Emergence and Dynamical Stability of Charge Time-Crystal in a Current-Carrying Quantum Dot Simulator
• Analytic expressions for the steady-state current with finite extended reservoirs
• Environment assisted and environment hampered efficiency at maximum power in a molecular photo cell
• Accumulative reservoir construction: Bridging continuously relaxed and periodically refreshed extended reservoirs
• $N$-Scaling of Timescales in Long-Range $N$-Body Quantum Systems
• Quantum entanglement and transport in non-equilibrium interacting double-dot setup: The curious role of degeneracy
• Landauer current and mutual information in a bosonic quantum dot

Cited by in corpus (4)

• Dephasing-assisted transport in a tight-binding chain with a linear potential
• Quantum transport under oscillatory drive with disordered amplitude
• Approaching the scaling limit of transport through lattices with dephasing
• Phase Structure and Machine Learning Identification in One Dimensional Systems with Power Law Correlated Disorder and Long Range Hopping