Quantum wires with local particle loss: Transport manifestations of fluctuation-induced effects
arXiv:2312.12656 · doi:10.1103/PhysRevB.110.205419
Abstract
We investigate the transport properties of a quantum wire of weakly interacting fermions in the presence of local particle loss. We calculate current and conductance in this system due to applied external chemical potential bias that can be measured in experimental realizations of ultracold fermions in quasi one-dimensional traps. Using a Keldysh field theory approach based on the Lindblad equation, we establish a perturbative scheme to study the effect of imbalanced reservoirs. Logarithmically divergent terms are resummed using a renormalization group method, and a novel powerlaw behavior for the conductance as a function of the potential bias across the wire is found. In contrast to the equilibrium case of a potential barrier in a Luttinger liquid, the conductance exhibits a scaling behavior, which depends on the interaction strength and on the loss probability. Repulsive interactions reduce the conductance of the wire while attractive interactions enhance it. However, perfect reflectivity and transparency are only reached in the absence of particle loss.
arXiv comment22 pages, 13 figures
References in corpus (77)
- Non-Abelian statistics and topological quantum information processing in 1D wire networks
- Luttinger Liquid Behavior in Carbon Nanotubes
- Bosonization and Strongly Correlated Systems
- Keldysh Field Theory for Driven Open Quantum Systems
- Landauer Conductance of Luttinger Liquids with Leads
- Transport in an inhomogeneous interacting one--dimensional system
- Experiments on Ladders Reveal a Complex Interplay between a Spin-Gapped Normal State and Superconductivity
- Quantum criticality and universal scaling of a quantum antiferromagnet
- Dynamics of Inhomogeneous Tomonaga-Luttinger Liquid Wire
- Is there a renormalization of the 1D conductance in Luttinger Liquid model?
- Controlling the dynamics of an open many-body quantum system with localized dissipation
- Conduction of Ultracold Fermions Through a Mesoscopic Channel
- Electron Transport in Very Clean, As-Grown Suspended Carbon Nanotubes
- Observation of Quantized Conductance in Neutral Matter
- Tunneling in One-Dimensional non-Luttinger Electron Liquid
- Non-equilibrium steady-states in a driven-dissipative superfluid
- Controlling Luttinger liquid physics in spin ladders under a magnetic field
- Two-terminal transport measurements with cold atoms
- Exact Liouvillian Spectrum of a One-Dimensional Dissipative Hubbard Model
- Beyond mean-field dynamics in open Bose-Hubbard chains
- Coherent perfect absorption of nonlinear matter waves
- Dissipation-induced coherent structures in Bose-Einstein condensates
- Fluctuation-Induced Quantum Zeno Effect
- Quantum Phase Transition in a Resonant Level Coupled to Interacting Leads
- Observation of Quantum Criticality and Luttinger Liquid in One-dimensional Bose Gases
- Quantized conductance through a spin-selective atomic point contact
- Band and correlated insulators of cold fermions in a mesoscopic lattice
- Engineering tunable local loss in a synthetic lattice of momentum states
- Ultracold quantum wires with localized losses: many-body quantum Zeno effect
- Observation of Majorana Quantum Critical Behavior in a Resonant Level Coupled to a Dissipative Environment
- Quantized conductance through a dissipative atomic point contact
- Mapping out spin and particle conductances in a quantum point contact
- Non-Gaussian correlations imprinted by local dephasing in fermionic wires
- Controllable manipulation and detection of local densities and bipartite entanglement in a quantum gas by a dissipative defect
- Macroscopic Zeno effect and stationary flows in nonlinear waveguides with localized dissipation
- Unification of electromagnetic noise and Luttinger liquid via a quantum dot
- Orthogonality catastrophe in dissipative quantum many body systems
- Control of the Bose-Einstein condensate by dissipation. Nonlinear Zeno effect
- Measurement of the Dynamical Structure Factor of a 1D Interacting Fermi Gas
- Breakdown of the Wiedemann-Franz law in a unitary Fermi gas
- Circuit Quantum Simulation of a Tomonaga-Luttinger Liquid with an Impurity
- Decay and fragmentation in an open Bose-Hubbard chain
- Non-Hermitian scattering on a tight-binding lattice
- Unbounded entanglement production via a dissipative impurity
- Universal Dynamics of Stochastically Driven Quantum Impurities
- The three-site Bose-Hubbard model subject to atom losses: the boson-pair dissipation channel and failure of the mean-field approach
- Superfluid signatures in a dissipative quantum point contact
- Non-Hermitian quantum impurity systems in and out of equilibrium: noninteracting case
- Symmetry-protected transport through a lattice with a local particle loss
- Noninteracting fermionic systems with localized losses: Exact results in the hydrodynamic limit
- Long-Range Coherence and Multiple Steady States in a Lossy Qubit Array
- The Bose-Hubbard model with localized particle losses
- Free Fermions with a Localized Source
- Exact description of transport and non-reciprocity in monitored quantum devices
- Reservoir engineering of bosonic lattices using chiral symmetry and localized dissipation
- Nonlinear transport in the presence of a local dissipation
- Current reversals and metastable states in the infinite Bose-Hubbard chain with local particle loss
- Reservoir engineering with localized dissipation: dynamics and pre-thermalization
- Resonant Tunneling in a Dissipative Environment
- Thermal radiation and dissipative phase transition in a BEC with local 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
- High-temperature nonequilibrium Bose condensation induced by a hot needle
- Tunable Quantum Phase Transitions in a Resonant Level Coupled to Two Dissipative Baths
- Free Bosons with a Localized Source
- Quantum-Zeno Fermi polaron in the strong dissipation limit
- Ramsey interferometry of non-Hermitian quantum impurities
- DC transport in a dissipative superconducting quantum point contact
- Probing Quantum Chaos in many-body quantum systems by the induced dissipation
- Transport properties of a two-lead Luttinger liquid junction out of equilibrium: fermionic representation
- Y-junction of Luttinger-liquid wires out of equilibrium
- Irreversible entropy transport enhanced by fermionic superfluidity
- Nonequilibrium steady states of Bose-Einstein condensates with a local particle loss in double potential barriers
- Nonequilibrium Quantum Critical Steady State: Transport Through a Dissipative Resonant Level
- Conductance scaling of junctions of Luttinger-liquid wires out of equilibrium
- Tunneling into a Luttinger-liquid coupled to acoustic phonons out of equilibrium
- Emergent chirality in multi-lead Luttinger-liquid junctions out of equilibrium