Efficient steady state solver for the hierarchical equations of motion approach: Formulation and application to charge transport through nanosystems
arXiv:2103.16529 · doi:10.1021/acs.jpca.1c02863
Abstract
An iterative approach is introduced, which allows the efficient solution of the hierarchical equations of motion (HEOM) for the steady state of open quantum systems. The approach combines the method of matrix equations with an efficient preconditioning technique to reduce the numerical effort of solving the HEOM. Illustrative applications to simulate nonequilibrium charge transport in single-molecule junctions demonstrate the performance of the method.
References in corpus (31)
- Molecular Transport Junctions: Vibrational Effects
- Perspective: Numerically "exact" approach to open quantum dynamics: The hierarchical equations of motion (HEOM)
- Exact dynamics of dissipative electronic systems and quantum transport: Hierarchical equations of motion approach
- Exact quantum master equation via the calculus on path integrals
- Long-Lived Electronic Coherence in Dissipative Exciton-Dynamics of Light-Harvesting Complexes
- Hierarchical Liouville-space approach for accurate and universal characterization of quantum impurity systems
- High-performance solution of hierarchical equations of motions for studying energy-transfer in light-harvesting complexes
- Decoherence and lead induced inter-dot coupling in nonequilibrium electron transport through interacting quantum dots: A hierarchical quantum master equation approach
- Modified-scaled hierarchical equation of motion approach for the study of quantum coherence in photosynthetic complexes
- Vibrational Heat Transport in Molecular Junctions
- Hierarchical Quantum Master Equation Approach to Electronic-Vibrational Coupling in Nonequilibrium Transport through Nanosystems
- Theory of Vibrationally Inelastic Electron Transport through Molecular Bridges
- Modelling of Oscillations in Two-Dimensional Echo-Spectra of the Fenna-Matthews-Olson Complex
- Current noise in a vibrating quantum dot array
- Kondo memory in driven strongly-correlated quantum dots
- Transport through an Anderson impurity: Current ringing, non-linear magnetization and a direct comparison of continuous-time quantum Monte Carlo and hierarchical quantum master equations
- Hierarchical quantum master equation approach to electronic-vibrational coupling in nonequilibrium transport through nanosystems: Reservoir formulation and application to vibrational instabilities
- Steering of a Bosonic Mode with a Double Quantum Dot
- Delocalization and conductance quantization in one-dimensional systems
- Efficient calculation of open quantum system dynamics and time-resolved spectroscopy with Distributed Memory HEOM (DM-HEOM)
- Vibrational cooling and thermoelectric response of nanoelectromechanical systems
- The formation of nonequilibrium steady states in interacting double quantum dots: When coherences dominate the charge distribution
- Extending the hierarchical quantum master equation approach to low temperatures and realistic band structures
- Quantum Interference in Single Molecule Electronic Systems
- Even-odd parity effects in conductance and shot noise of metal-atomic wire-metal(superconducting) junctions
- Sharp peaks in the conductance of double quantum dot and quantum dot spin-valve systems at high temperatures: A hierarchical quantum master equation approach
- Vibrational effects in charge transport through a molecular double quantum dot
- Phononic heat transport in molecular junctions: quantum effects and vibrational mismatch
- Ground-state cooling the vibrations of suspended carbon-nanotubes with constant electron current
- Vibrationally-mediated molecular transistors
- Reappearance of Kondo Effect in Serially Coupled Symmetric Triple Quantum Dots
Cited by in corpus (4)
- Non-equilibrium quantum impurity problems via matrix-product states in the temporal domain
- Efficient low temperature simulations for fermionic reservoirs with the hierarchical equations of motion method: Application to the Anderson impurity model
- Nonequilibrium reaction rate theory: Formulation and implementation within the hierarchical equations of motion approach
- Exact steady state of perturbed open quantum systems