Time propagation and spectroscopy of Fermionic systems using a stochastic technique

Abstract

We present a stochastic method for solving the time-dependent Schrödinger equation, generalizing a ground-state full configuration interaction Quantum Monte Carlo method. By performing the time-integration in the complex plane close to the real time axis, the numerical effort is kept manageable and the analytic continuation to real frequencies is efficient. This allows us to perform {\it ab initio} calculation of electron spectra for strongly correlated systems. The method can be used as cluster solver for embedding schemes.

14 pages, 12 figures

References in corpus (6)

• Continuous-time Monte Carlo methods for quantum impurity models
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• Unbiased Reduced Density Matrices and Electronic Properties from Full Configuration Interaction Quantum Monte Carlo
• An excited-state approach within full configuration interaction quantum Monte Carlo
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• Combined unitary and symmetric group approach applied to low-dimensional spin systems
• Eliminating the wave function singularity for ultracold atoms by similarity transformation
• Simulation of adiabatic quantum computing for molecular ground states
• Complex Time Evolution in Tensor Networks
• Improved walker population control for full configuration interaction quantum Monte Carlo
• Benchmark study of Nagaoka ferromagnetism by spin-adapted full configuration interaction quantum Monte Carlo
• Frequency-dependent and algebraic bath states for a Dynamical Mean-Field Theory with compact support
• Dynamical correlation functions from complex time evolution
• Full configuration interaction quantum Monte Carlo for coupled electron--boson systems and infinite spaces
• Real-time Sign-Problem-Suppressed Quantum Monte Carlo Algorithm For Noisy Quantum Circuit Simulations
• Dynamical Triplet Unravelling: A quantum Monte Carlo algorithm for reversible dynamics
• Multi-orbital dynamical mean-field theory with a complex-time solver
• Energy-filtered excited states and real-time dynamics served in a contour integral