Nonlinear transport in the presence of a local dissipation

Abstract

We characterize the particle transport, particle loss, and nonequilibrium steady states in a dissipative one-dimensional lattice connected to reservoirs at both ends. The free-fermion reservoirs are fixed at different chemical potentials, giving rise to particle transport. The dissipation is due to a local particle loss acting on the center site. We compute the conserved current and loss current as functions of voltage in the nonlinear regime using a Keldysh description. The currents show step-like features which are affected differently by the local loss: The steps are either smoothened, nearly unaffected, or even enhanced, depending on the spatial symmetry of the single-particle eigenstate giving rise to the step. Additionally, we compute the particle density and momentum distributions in the chain. At a finite voltage, two Fermi momenta can occur, connected to different wavelengths of Friedel oscillations on either side of the lossy site. We find that the wavelengths are determined by the chemical potentials in the reservoirs rather than the average density in the lattice.

19 pages, 19 figures

References in corpus (20)

• An Open-System Quantum Simulator with Trapped Ions
• Strong dissipation inhibits losses and induces correlations in cold molecular gases
• Engineered Dissipation for Quantum Information Science
• Two-terminal transport measurements with cold atoms
• Beyond mean-field dynamics in open Bose-Hubbard chains
• Strong correlations in lossy one-dimensional quantum gases: from the quantum Zeno effect to the generalized Gibbs ensemble
• Periodic energy transport and entropy production in quantum electronics
• Exact description of quantum stochastic models as quantum resistors
• Generic transport formula for a system driven by Markovian reservoirs
• Experimental observation of a dissipative phase transition in a multi-mode many-body quantum system
• Non-equilibrium metastable state in a chain of interacting spinless fermions with localized loss
• Point-contact tunneling involving low-dimensional spin-triplet superconductors
• Keldysh study of point-contact tunneling between superconductors
• Noninteracting fermionic systems with localized losses: Exact results in the hydrodynamic limit
• Symmetry-protected transport through a lattice with a local particle loss
• Current reversals and metastable states in the infinite Bose-Hubbard chain with local particle loss
• Out-of-equilibrium steady states of a locally driven lossy qubit array
• Comparative study for two-terminal transport through a lossy one-dimensional quantum wire
• Floquet-engineered pair and single particle filter in the Fermi Hubbard model
• Time dependent local potential in a Tomonaga-Luttinger liquid

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