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Computing dynamical distributions in quantum many-body systems represents one of the paradigmatic open problems in theoretical condensed matter physics. Despite the existence of different techniques both in real-time and frequency space,…

Disordered Systems and Neural Networks · Physics 2021-08-04 Rouven Koch , Jose L. Lado

High-precision predictions of nuclear properties are a central objective of ab initio nuclear structure theory. However, state-of-the-art many-body methods rely on truncated model spaces to render the nuclear many-body problem tractable,…

Nuclear Theory · Physics 2026-04-10 Marco Knöll

The method of many-body Green's functions is developed for arbitrary systems of electrons and nuclei starting from the full (beyond Born-Oppenheimer) Hamiltonian of Coulomb interactions and kinetic energies. The theory presented here…

Other Condensed Matter · Physics 2020-06-23 Ville J. Härkönen , Robert van Leeuwen , E. K. U. Gross

A long-standing goal of nuclear theory is to explain how the structure and dynamics of atomic nuclei and neutron-star matter emerge from the underlying interactions among protons and neutrons. Achieving this goal requires solving the…

Can many-body systems be beneficial to designing quantum technologies? We address this question by examining quantum engines, where recent studies indicate potential benefits through the harnessing of many-body effects, such as divergences…

Quantum Physics · Physics 2024-04-17 Victor Mukherjee , Uma Divakaran

In open quantum many-body systems, the theoretical description of resonant states of many particles strongly coupled to the continuum can be challenging. Such states are commonplace in, for example, exotic nuclei and hadrons, and can reveal…

Nuclear Theory · Physics 2025-06-18 Nuwan Yapa , Sebastian König , Kévin Fossez

The construction of predictive models of atomic nuclei from first principles is a challenging (yet necessary) task towards the systematic generation of theoretical predictions (and associated uncertainties) to support nuclear data…

Nuclear Theory · Physics 2024-07-26 Mikael Frosini , Thomas Duguet , Pierre Tamagno , Lars Zurek

Recent advances in both theoretical and computational methods have enabled large-scale, precision calculations of the properties of atomic nuclei. With the growing complexity of modern nuclear theory, however, also comes the need for novel…

Nuclear Theory · Physics 2024-11-26 R. Y. Cheng , K. Godbey , Y. B. Niu , Y. G. Ma , W. B. He , S. M. Wang

With the evolution of numerical methods, we are now aiming at not only qualitative understanding but also quantitative prediction and design of quantum many-body phenomena. As a novel numerical approach, machine learning techniques have…

Strongly Correlated Electrons · Physics 2024-12-20 Yusuke Nomura , Masatoshi Imada

Quantum computation is one of the most promising new paradigms for the simulation of physical systems composed of electrons and atomic nuclei, with applications in chemistry, solid-state physics, materials science, and molecular biology.…

Quantum Physics · Physics 2024-11-05 Jakob Günther , Alberto Baiardi , Markus Reiher , Matthias Christandl

In a typical scenario the diagrammatic many-body perturbation theory generates asymptotic series. Despite non-convergence, the asymptotic expansions are useful when truncated to a finite number of terms. This is the reason for popularity of…

Strongly Correlated Electrons · Physics 2016-01-19 Yaroslav Pavlyukh , Jamal Berakdar , Angel Rubio

A unified theory is presented for finite-temperature many-body perturbation expansions of the anharmonic vibrational contributions to thermodynamic functions: the free energy, internal energy, and entropy. The theory is diagrammatically…

Statistical Mechanics · Physics 2023-08-29 Xiuyi Qin , So Hirata

A unified approach, for solving a wide class of single and many-body quantum problems, commonly encountered in literature is developed based on a recently proposed method for finding solutions of linear differential equations. Apart from…

Quantum Physics · Physics 2007-05-23 N. Gurappa , Prasanta K. Panigrahi , R. Atre , T. Shreecharan

High-order perturbative $\textit{ab initio}$ calculations are challenging due to the rapidly growing configuration space and the difficulty of assessing convergence. In this letter, we introduce perturbation theory quantum Monte Carlo…

Nuclear Theory · Physics 2026-05-06 Xin Zhen , Rongzhe Hu , Junchen Pei , Furong Xu

In this work we derive a systematic short-range expansion of the many-body wave function. At leading order, the wave function is factorized to a zero-energy $s$-wave correlated pair and spectator particles, while terms that include energy…

Nuclear Theory · Physics 2023-07-13 Ronen Weiss , Diego Lonardoni , Stefano Gandolfi

We discuss here some aspects related to the symmetries of a quantum many-body problem when trying to treat it on a quantum computer. Several features related to symmetry conservation, symmetry breaking, and possible symmetry restoration are…

Quantum Physics · Physics 2023-01-25 Denis Lacroix , Edgar Andres Ruiz Guzman , Pooja Siwach

We present an alternative approach to decompose non-negative tensors, called many-body approximation. Traditional decomposition methods assume low-rankness in the representation, resulting in difficulties in global optimization and target…

Machine Learning · Statistics 2023-10-31 Kazu Ghalamkari , Mahito Sugiyama , Yoshinobu Kawahara

In many-body theory it is often useful to renormalize short-distance, high-momentum components of an interaction via unitary transformations. Such transformations preserve the on-shell physical observables of the two-body system (mostly…

Nuclear Theory · Physics 2014-11-21 Calvin W. Johnson

The envelope theory is a method to compute approximate eigensolutions of quantum $N$-body Hamiltonians with a quite general structure in $D$ dimensions. The advantages of the method are that it is easy to implement and that $N$ is treated…

Quantum Physics · Physics 2022-04-01 Cyrille Chevalier , Cintia T. Willemyns , Lorenzo Cimino , Claude Semay

We demonstrate that perturbative expansions for quantum many-body systems can be rephrased in terms of tensor networks, thereby providing a natural framework for interpolating perturbative expansions across a quantum phase transition. This…

Strongly Correlated Electrons · Physics 2017-09-06 Laurens Vanderstraeten , Michaël Mariën , Jutho Haegeman , Norbert Schuch , Julien Vidal , Frank Verstraete