Time-dependent coupled-cluster method for atomic nuclei

Abstract

We study time-dependent coupled-cluster theory in the framework of nuclear physics. Based on Kvaal's bi-variational formulation of this method [S. Kvaal, arXiv:1201.5548], we explicitly demonstrate that observables that commute with the Hamiltonian are conserved under time evolution. We explore the role of the energy and of the similarity-transformed Hamiltonian under real and imaginary time evolution and relate the latter to similarity renormalization group transformations. Proof-of-principle computations of He-4 and O-16 in small model spaces, and computations of the Lipkin model illustrate the capabilities of the method.

10 pages, 9 pdf figures

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Cited by in corpus (21)

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• New applications of renormalization group methods in nuclear physics
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• Equation of motion coupled-cluster approach for intrinsic losses in x-ray spectra
• Sub-system quantum dynamics using coupled cluster downfolding techniques
• Time-dependent coupled cluster theory for ultrafast transient absorption spectroscopy
• Time-dependent optimized coupled-cluster method for multielectron dynamics II. A coupled electron-pair approximation
• Electron Dynamics with the Time-Dependent Density Matrix Renormalization Group
• Real-time coupled-cluster approach for the cumulant Green's function
• Interpretation of Coupled-Cluster Many-Electron Dynamics in Terms of Stationary States
• TAMM: Tensor Algebra for Many-body Methods
• Ab-initio variational wave functions for the time-dependent many-electron Schrödinger equation
• Simulating weak-field attosecond processes with a Lanczos reduced basis approach to time-dependent equation of motion coupled cluster theory
• Time-dependent optimized coupled-cluster method for multielectron dynamics IV: Approximate consideration of the triple excitation amplitudes
• Theory and Implementation of a Novel Stochastic Approach to Coupled Cluster
• Coupled cluster simulation of impulsive stimulated X-ray Raman scattering
• Computing nuclear response functions with time-dependent coupled-cluster theory
• A Time Dependent Multi-Determinant approach to nuclear dynamics
• Energy-filtered excited states and real-time dynamics served in a contour integral