Light propagation through one-dimensional interacting open quantum systems

Abstract

We apply the quantum Langevin equations approach to study nonlinear light propagation through one-dimensional interacting open quantum lattice models. We write a large set of quantum Langevin equations of lattice operators obtained after integrating out the light fields and use them to derive nonequilibrium features of the lattice models. We first consider a Heisenberg like interacting spin-1/2 chain with nearest-neighbor coupling. The transient and steady-state transport properties of an incoming monochromatic laser light are calculated for this model. We find how the local features of the spin chain and the chain length dependence of light transport coefficient evolve with an increasing power of the incident light. The steady-state light transmission coefficient at a higher power depends non-monotonically on the interaction in a finite chain. While the nonlinear light transmission in our studied model seems to be ballistic in the absence of interaction and for a high interaction, it shows an apparent system-size dependence at intermediate interactions. Later, we extend this method to the long-range interaction between spins of the driven-dissipative lattice model and to incorporate various losses typical in many atomic and solid-state systems.

18 pages, 11 figures

References in corpus (22)

• An Open-System Quantum Simulator with Trapped Ions
• Quantum trajectories and open many-body quantum systems
• Driven quantum transport on the nanoscale
• Photon-mediated interactions between distant artificial atoms
• Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
• Third quantization: a general method to solve master equations for quadratic open Fermi systems
• Strongly Correlated Two-Photon Transport in One-Dimensional Waveguide Coupled to A Two-Level System
• The iTEBD algorithm beyond unitary evolution
• Real-time path integral approach to nonequilibrium many-body quantum system
• Spin transport in a one-dimensional anisotropic Heisenberg model
• Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
• Diagrammatic Monte Carlo simulation of non-equilibrium systems
• Modeling heat transport through completely positive maps
• On steady-state currents through nano-devices: a scattering-states numerical renormalization group approach to open quantum systems
• Iterative real-time path integral approach to nonequilibrium quantum transport
• Heat transport in harmonic lattices
• Applying matrix product operators to model systems with long-range interactions
• Twofold advance in the theoretical understanding of far-from-equilibrium properties of interacting nanostructures
• Waveguide QED: Power Spectra and Correlations of Two Photons Scattered Off Multiple Distant Qubits and a Mirror
• Time-dependent DMRG Study on Quantum Dot under a Finite Bias Voltage
• Majorana fermions in an out-of-equilibrium topological superconducting wire: an exact microscopic transport analysis of a p-wave open chain coupled to normal leads
• Emergent transport in a many-body open system driven by interacting quantum baths

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• A modified quasi-classical analysis to capture the effects of strong interaction in open QED lattices
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