Superoperator nonequilibrium Green's function theory of many-body systems; Applications to charge transfer and transport in open junctions
arXiv:0805.4260 · doi:10.1016/j.physrep.2008.05.003
Abstract
Nonequilibrium Green's functions provide a powerful tool for computing the dynamical response and particle exchange statistics of coupled quantum systems. We formulate the theory in terms of the density matrix in Liouville space and introduce superoperator algebra that greatly simplifies the derivation and the physical interpretation of all quantities. Expressions for various observables are derived directly in real time in terms of superoperator nonequilibrium Green's functions (SNGF), rather than the artificial time-loop required in Schwinger's Hilbert-space formulation. Applications for computing interaction energies, charge densities, average currents, current induced fluorescence, electroluminescence and current fluctuation (electron counting) statistics are discussed.
36 pages, 3 figures. to be published in Physics Reports
References in corpus (20)
- The GW method
- Electron Counting Statistics and Coherent States of Electric Current
- Full Counting Statistics of Charge Transfer in Coulomb Blockade Systems
- Camparison of the Hanbury Brown-Twiss effect for bosons and fermions
- Inelastic electron tunneling spectroscopy in molecular junctions: Peaks and dips
- Quantum master equation for electron transport through quantum dots and single molecules
- Current measurement by real-time counting of single electrons
- Electron shot noise beyond the second moment
- Full Counting Statistics in Strongly Interacting Systems: Non-Markovian Effects
- A Generalized Fluctuation-Dissipation Theorem for Nonlinear Response Functions
- Fluctuation theorem for counting-statistics in electron transport through quantum junctions
- Effect of incoherent scattering on shot noise correlations in the quantum Hall regime
- Nonlinear optical spectroscopy of single, few, and many molecules; nonequilibrium Green's function QED approach
- Transformations of real-time finite-temperature Feynman rules
- Photon Statistics; Nonlinear Spectroscopy of Single Quantum Systems
- Charge transfer counting statistics revisited
- Superoperator Representation of Nonlinear Response; Unifying Quantum Field and Mode Coupling Theories
- Distribution of voltage fluctuations in a current-biased conductor
- Quantum measurement in the charge representation
- Partially-Time-Ordered Schwinger-Keldysh Loop Expansion of Coherent Nonlinear Optical Susceptibilities
Cited by in corpus (47)
- Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
- Nonlinear optical signals and spectroscopy with quantum light
- Nonequilibrium Dynamical Mean Field Theory: an auxiliary Quantum Master Equation approach
- Super-fermion representation of the Lindblad master equation for the electron transport problem
- Auxiliary master equation approach to non-equilibrium correlated impurities
- Interfacial thermal transport in atomic junctions
- Many-body theory of electronic transport in single-molecule heterojunctions
- Solving quasi-free and quadratic Lindblad master equations for open fermionic and bosonic systems
- Fermionic superoperators for zero-temperature non-linear transport: real-time perturbation theory and renormalization group for Anderson quantum dots
- Time-resolved broadband Raman spectroscopies; A unified six-wave-mixing representation
- Optimized auxiliary representation of a non-Markovian environment by a Lindblad equation
- Photonics and Spectroscopy in Nanojunctions: A Theoretical Insight
- Time-dependent quantum transport: causal superfermions, exact fermion-parity protected decay mode, and Pauli exclusion principle for mixed quantum states
- Nonequilibrium perturbation theory in Liouville-Fock space for inelastic electron transport
- Five approaches to exact open-system dynamics: Complete positivity, divisibility and time-dependent observables
- Many-Body Open Quantum Systems
- Distribution of tunnelling times for quantum electron transport
- Transport Through a Correlated Interface: Auxiliary Master Equation Approach
- Second-order post-Hartree-Fock perturbation theory for the electron current
- Distribution of residence times as a marker to distinguish different pathways for quantum transport
- Nonequilibrium density matrix for quantum transport: Hershfield approach as a McLennan-Zubarev form of the statistical operator
- Interferometric-Spectroscopy With Quantum-Light; Revealing Out-of-Time-Ordering Correlators
- Tunable photonic cavity coupled to a voltage-biased double quantum dot system: Diagrammatic NEGF approach
- Multidimensional spectroscopy with entangled light; loop vs ladder delay scanning protocols
- Effective Field Theory of Interacting π-Electrons
- Out-of-equilibrium properties and non-linear effects for interacting quantum impurity systems in their strong coupling regime
- PsiQuaSP -- A library for efficient computation of symmetric open quantum systems
- Kardar-Parisi-Zhang scaling in the Hubbard model
- Tensor network influence functionals in the continuous-time limit: connections to quantum embedding, bath discretization, and higher-order time propagation
- Diagrammatic Monte Carlo for Dissipative Quantum Impurity Models
- Geometric effects in non-equilibrium electron transfer statistics in adiabatically driven quantum junctions
- Cascading and Local-Field Effects in Non-Linear Optics Revisited; A Quantum-Field Picture Based on Exchange of Photons
- Super-operator structures and no-go theorems for dissipative quantum phase transitions
- Time-and-frequency gated photon coincidence counting; a novel multidimensional spectroscopy tool
- Regimes of radiative and nonradiative transitions in transport through an electronic system in a photon cavity reaching a steady state
- Nonlinear light scattering in molecules triggered by an impulsive X-ray Raman process
- Second quantization of open quantum systems in Liouville space
- Kondo-Zeno crossover in the dynamics of a monitored quantum dot
- Probing the Jaynes-Cummings Ladder with Spin Circuit Quantum Electrodynamics
- Two-dimensional spectroscopy of Rydberg gases
- On optical spectroscopy of molecular junctions
- Multidimensional spectroscopy with a single broadband phase-shaped laser pulse
- Pump-intensity-scaling of Two-Photon-Absorption and Photon Statistics of Entangled-Photon Fields
- Loss-induced quantum information jet in an infinite temperature Hubbard chain
- Markovian Embeddings of Non-Markovian Open System Dynamics
- Self-consistent approach to the dynamics of excitation energy transfer in multichromophoric systems
- Dissipative Kondo physics in the Anderson Impurity Model with two-body losses