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We present a pedagogical introduction to the In-Medium Similarity Renormalization Group (IM-SRG) framework for ab initio calculations of nuclei. The IM-SRG performs continuous unitary transformations of the nuclear many-body Hamiltonian in…

Nuclear Theory · Physics 2016-12-28 H. Hergert

Efforts to describe nuclear structure and dynamics from first principles have advanced significantly in recent years. Exact methods for light nuclei are now able to include continuum degrees of freedom and treat structure and reactions on…

We present a pedagogical discussion of Similarity Renormalization Group (SRG) methods, in particular the In-Medium SRG (IMSRG) approach for solving the nuclear many-body problem. These methods use continuous unitary transformations to…

Nuclear Theory · Physics 2017-06-28 H. Hergert , S. K. Bogner , J. G. Lietz , T. D. Morris , S. J. Novario , N. M. Parzuchowski , F. Yuan

We use the recently proposed In-Medium Similarity Renormalization Group (IM-SRG) to carry out a systematic study of closed-shell nuclei up to $\nuc{Ni}{56}$, based on chiral two- plus three-nucleon interactions. We analyze the capabilities…

Nuclear Theory · Physics 2013-04-02 H. Hergert , S. K. Bogner , S. Binder , A. Calci , J. Langhammer , R. Roth , A. Schwenk

We present a comprehensive review of the In-Medium Similarity Renormalization Group (IM-SRG), a novel ab inito method for nuclei. The IM-SRG employs a continuous unitary transformation of the many-body Hamiltonian to decouple the ground…

Nuclear Theory · Physics 2016-03-15 H. Hergert , S. K. Bogner , T. D. Morris , A. Schwenk , K. Tsukiyama

The non-perturbative {\it ab initio} calculations of infinite nuclear matter using In-Medium Similarity Renormalization Group (IMSRG) method is developed in this work, which enables calculations with chiral two and three-nucleon forces at…

Nuclear Theory · Physics 2025-02-27 Xin Zhen , Rongzhe Hu , Haoyu Shang , Jiawei Chen , Junchen Pei , Furong Xu

The density matrix renormalization group (DMRG) method and its applications to finite temperatures and two-dimensional systems are reviewed. The basic idea of the original DMRG method, which allows precise study of the ground state…

Strongly Correlated Electrons · Physics 2009-11-10 Naokazu Shibata

The functional renormalisation group (FRG) approach is employed to study Bose polarons at finite temperatures in the regime of strong attractive bath-impurity interactions. Both two- and three-dimensional configurations are considered. The…

Quantum Gases · Physics 2025-01-20 Felipe Isaule

A semiphenomenological approach to the nucleon self-energy in nuclear matter at finite temperatures is followed. It combines elements of Thermo Field Dynamics for the treatment of finite temperature with a model for the self-energy, which…

Nuclear Theory · Physics 2009-10-30 L. Alvarez-Ruso , P. Fernandez de Cordoba , E. Oset

We have developed an {\it ab initio} deformed in-medium similarity renormalization group (IMSRG) for open-shell nuclei. This is a single-reference IMSRG in deformed Hartree-Fock (HF) basis. Deformed wave functions are more efficient in…

Nuclear Theory · Physics 2022-07-13 Q. Yuan , S. Q. Fan , B. S. Hu , J. G. Li , S. Zhang , S. M. Wang , Z. H. Sun , Y. Z. Ma , F. R. Xu

Over the past decade the in-medium similarity renormalization group (IMSRG) approach has proven to be a powerful and versatile ab initio many-body method for studying medium-mass nuclei. So far, the IMSRG was limited to the approximation in…

Nuclear Theory · Physics 2021-04-27 M. Heinz , A. Tichai , J. Hoppe , K. Hebeler , A. Schwenk

The Density Matrix Renormalization Group (DMRG) has become a powerful numerical method that can be applied to low-dimensional strongly correlated fermionic and bosonic systems. It allows for a very precise calculation of static, dynamic and…

Strongly Correlated Electrons · Physics 2008-11-26 Karen Hallberg

This paper provides a study and discussion of earlier as well as novel more efficient schemes for the precise evaluation of finite-temperature response functions of strongly correlated quantum systems in the framework of the time-dependent…

Quantum Physics · Physics 2013-07-19 Thomas Barthel

We develop a framework that allows to calculate integrated properties of the nuclear response from first principles. Using the ab initio in-medium similarity renormalization group (IMSRG), we calculate the expectation values of moment…

Nuclear Theory · Physics 2025-11-10 Andrea Porro , Achim Schwenk , Alexander Tichai

We merge two successful ab initio nuclear-structure methods, the no-core shell model (NCSM) and the multi-reference in-medium similarity renormalization group (IM-SRG) to define a new many-body approach for the comprehensive description of…

Nuclear Theory · Physics 2017-04-20 Eskendr Gebrerufael , Klaus Vobig , Heiko Hergert , Robert Roth

Wilson's numerical renormalization group (NRG) method for the calculation of dynamic properties of impurity models is generalized to investigate the effective impurity model of the dynamical mean field theory at finite temperatures. We…

Strongly Correlated Electrons · Physics 2009-10-31 R. Bulla , T. A. Costi , D. Vollhardt

We employ the density matrix renormalization group (DMRG) and the wave function factorization method for the numerical solution of large scale nuclear structure problems. The DMRG exhibits an improved convergence for problems with realistic…

Nuclear Theory · Physics 2007-05-23 T. Papenbrock , D. J. Dean

The in-medium similarity renormalization group (IMSRG) is a powerful and flexible many-body method to compute the structure of nuclei starting from nuclear forces. Recent developments have extended the IMSRG from its standard truncation at…

Nuclear Theory · Physics 2025-03-12 M. Heinz , T. Miyagi , S. R. Stroberg , A. Tichai , K. Hebeler , A. Schwenk

In this work, we benchmark the well-controlled and numerically accurate exponential thermal tensor renormalization group (XTRG) in the simulation of interacting spin models in two dimensions. Finite temperature introduces a thermal…

Strongly Correlated Electrons · Physics 2019-07-17 Han Li , Bin-Bin Chen , Ziyu Chen , Jan von Delft , Andreas Weichselbaum , Wei Li

We present an alternative functional renormalization group (fRG) approach to the single-impurity Anderson model at finite temperatures. Starting with the exact self-energy and interaction vertex of a small system ('core') containing a…

Strongly Correlated Electrons · Physics 2013-01-11 Michael Kinza , Jutta Ortloff , Johannes Bauer , Carsten Honerkamp
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