Real-Time Dynamics in Quantum Impurity Models with Diagrammatic Monte Carlo

Abstract

We extend the recently developed real-time Diagrammatic Monte Carlo method, in its hybridization expansion formulation, to the full Kadanoff-Baym-Keldysh contour. This allows us to study real-time dynamics in correlated impurity models starting from an arbitrary, even interacting, initial density matrix. As a proof of concept we apply the algorithm to study the non equilibrium dynamics after a local quantum quench in the Anderson Impurity Model. Being a completely general approach to real-time dynamics in quantum impurity models it can be used as a solver for Non Equilibrium Dynamical Mean Field Theory.

19 pages, 13 figures, published version

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• Quantum Monte Carlo in the steady-state
• Competition between the Pseudogap and Superconducting States of Bi${}_2$Sr${}_2$Ca${}_{0.92}$Y${}_{0.08}$Cu${}_2$O${}_{8+\delta }$ Single Crystals Revealed by Ultrafast Broadband Optical Reflectivity
• Improved Dyson series expansion for steady-state quantum transport beyond the weak coupling limit - divergences and resolution
• Inclusion-Exclusion Principle for Many-Body Diagrammatics
• Numerically exact counting statistics of energy current in the Kondo regime
• Lead Geometry and Transport Statistics in Molecular Junctions
• A time and spatially resolved quench of the fermionic Hubbard model showing restricted equilibration
• Quantum Impurity Models coupled to Markovian and Non Markovian Baths
• Numerical Renormalization Group calculations of the magnetization of isotropic and anisotropic Kondo impurities
• Inclusion-Exclusion Principle for Open Quantum Systems with Bosonic Bath
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• A multi-fragment real-time extension of projected density matrix embedding theory: Non-equilibrium electron dynamics in extended systems
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• Universal conductance of a PT-symmetric Luttinger liquid after a quantum quench
• Nonequilibrium Dynamics Across an Impurity Quantum Critical Point
• Quasi-universal transient behavior of a nonequilibrium Mott insulator driven by an electric field
• Hierarchical equations of motion approach to transport through an Anderson impurity coupled to interacting Luttinger liquid leads
• Differential Equation Based Path Integral for System-Bath Dynamics
• Semi-group influence matrices for non-equilibrium quantum impurity models
• Transient dynamical phase diagram of the spin-boson model
• Exact real-time dynamics of single-impurity Anderson model from a single-spin hybridization-expansion
• Transient phases and dynamical transitions in the post quench evolution of the generalized Bose-Anderson model
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• Numerical analysis for inchworm Monte Carlo method: Sign problem and error growth
• Restoring the continuum limit in the time-dependent numerical renormalization group approach
• Parameter-free analytic continuation for quantum many-body calculations
• On the validity of complex Langevin method for path integral computations
• Transient Dynamical Phase Diagram of the Spin-Boson Model at Finite Temperature
• Mean Field Decoupling of Single Impurity Anderson Model through Auxiliary Majorana Fermions
• Fermionic-propagator and alternating-basis quantum Monte Carlo methods for correlated electrons on a lattice
• Dissipative Kondo physics in the Anderson Impurity Model with two-body losses