Superoperator coupled cluster method for nonequilibrium density matrix

Abstract

We develop a superoperator coupled cluster method for nonequilibrium open many-body quantum systems described by the Lindblad master equation. The method is universal and applicable to systems of interacting fermions, bosons or their mixtures. We present a general theory and consider its application to the problem of quantum transport through the system with electron-phonon correlations. The results are assessed against the perturbation theory and nonequilibrium configuration interaction theory calculations.

Minor revision according to referees, one new figure

References in corpus (7)

• Third quantization: a general method to solve master equations for quadratic open Fermi systems
• Coupled cluster approach to nuclear physics
• Super-fermion representation of the Lindblad master equation for the electron transport problem
• Nonequilibrium perturbation theory in Liouville-Fock space for inelastic electron transport
• Stability analysis of multiple nonequilibrium fixed points in self-consistent electron transport calculations
• Nonequilibrium configuration interaction method for transport in correlated quantum systems
• Second-order post-Hartree-Fock perturbation theory for the electron current

Cited by in corpus (16)

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• Distribution of tunnelling times for quantum electron transport
• Real-time density-matrix coupled-cluster approach for closed and open systems at finite temperature
• Finite-temperature coupled cluster: Efficient implementation and application to prototypical systems
• Distribution of residence times as a marker to distinguish different pathways for quantum transport
• Non-Adiabatic Effects of Nuclear Motion in Quantum Transport of Electrons: A Self-Consistent Keldysh-Langevin Study
• Nonequilibrium Green's function theory for nonadiabatic effects in quantum electron transport
• Non-equilibrium Green's function theory for non-adiabatic effects in quantum transport: inclusion of electron-electron interactions
• Dissipative Preparation of Antiferromagnetic Order in the Fermi-Hubbard Model
• Nonadiabatic corrections to electric current in molecular junction due to nuclear motion at the molecule-electrode interfaces
• Master equation based steady-state cluster perturbation theory
• Piecewise Interaction Picture Density Matrix Quantum Monte Carlo
• Electronic specific heat capacities and entropies from density matrix quantum Monte Carlo using Gaussian process regression to find gradients of noisy data
• The normal state of attractive Fermi gases from coupled-cluster theory
• Distribution of waiting times between superoperator quantum jumps in Lindblad dynamics