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With the goal of using chiral interactions at various orders to explore properties of the few-body nuclear systems, we write the recently developed local chiral interactions as spherical irreducible tensors and implement them in the…

Nuclear Theory · Physics 2021-02-24 Simone Salvatore Li Muli , Sonia Bacca , Nir Barnea

We develop an efficient and robust approach to Hamiltonian identification for multipartite quantum systems based on the method of compressed sensing. This work demonstrates that with only O(s log(d)) experimental configurations, consisting…

Quantum Physics · Physics 2015-03-13 A. Shabani , M. Mohseni , S. Lloyd , R. L. Kosut , H. Rabitz

Several N-body problems in ordinary (3-dimensional) space are introduced which are characterized by Newtonian equations of motion (``acceleration equal force;'' in most cases, the forces are velocity-dependent) and are amenable to exact…

Mathematical Physics · Physics 2015-06-26 Massimo Bruschi , Francesco Calogero

Some recent results concerning nonlinear optics in semiconductor microcavities are reviewed from the point of view of the many-body physics of an interacting photon gas. Analogies with systems of cold atoms at thermal equilibrium are drawn,…

Statistical Mechanics · Physics 2009-11-11 Iacopo Carusotto , Michiel Wouters , Cristiano Ciuti

The non-linear response of infinite periodic solids to homogenous electric fields and collective atomic displacements is discussed in the framework of density functional perturbation theory. The approach is based on the 2n + 1 theorem…

Materials Science · Physics 2007-05-23 M. Veithen , X. Gonze , Ph. Ghosez

Many-body forces, and specially three-body forces, are sometimes a relevant ingredient in various fields, such as atomic, nuclear or hadronic physics. As their precise structure is generally difficult to uncover or to implement,…

Quantum Physics · Physics 2024-03-12 Lorenzo Cimino , Clara Tourbez , Cyrille Chevalier , Gwendolyn Lacroix , Claude Semay

We establish a novel approach to probing spatially resolved multi-time correlation functions of interacting many-body systems, with scalable experimental overhead. Specifically, designing nonlinear measurement protocols for multidimensional…

Quantum Physics · Physics 2014-10-07 M. Gessner , F. Schlawin , H. Haeffner , S. Mukamel , A. Buchleitner

We have recently constructed a many-body theory for composite excitons, in which the possible carrier exchanges between $N$ excitons can be treated exactly through a set of dimensionless ``Pauli scatterings'' between two excitons. Many-body…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Combescot , O. Betbeder-Matibet , F. Dubin

The traditional nuclear shell model approach is extended to include many-body forces. The empirical Hamiltonian with a three-body force is constructed for the identical nucleons on the 0f7/2 shell. Manifestations of the three-body force in…

Nuclear Theory · Physics 2009-08-03 Alexander Volya

We consider the planar three-body problem perturbed by a celestial body modeled as a time-dependent perturbation that decays in time. We assume that the motion of the celestial body is given and is unbounded with a non-zero asymptotic…

Dynamical Systems · Mathematics 2024-10-04 Donato Scarcella

Novel classes of dynamical systems are introduced, including many-body problems characterized by nonlinear equations of motion of Newtonian type ("acceleration equals forces") which determine the motion of points in the complex plane. These…

Mathematical Physics · Physics 2016-01-20 Oksana Bihun , Francesco Calogero

In this paper we present an evolution of our derivation of the shell-model effective Hamiltonian, namely introducing effects of three-body contributions. More precisely, we consider a three-body potential at next-to-next-to-leading order in…

Nuclear Theory · Physics 2018-10-10 T. Fukui , L. De Angelis , Y. Z. Ma , L. Coraggio , A. Gargano , N. Itaco , F. R. Xu

Linear and nonlinear optical properties of low dimensional nanostructures have attracted a large interest in the scientific community as tools to probe the strong confinement of the electrons and for possible applications in optoelectronic…

Materials Science · Physics 2017-03-08 C. Attaccalite , E. Cannuccia , M. Grüning

We study the impact of many-body effects on the fundamental precision limits in quantum metrology. On the one hand such effects may lead to non-linear Hamiltonians, studied in the field of non-linear quantum metrology, while on the other…

Quantum Physics · Physics 2019-06-25 Jan Czajkowski , Krzysztof Pawłowski , Rafał Demkowicz-Dobrzański

We propose a deformed version of the generalized Heisenberg algebra by using techniques borrowed from the theory of pseudo-bosons. In particular, this analysis is relevant when non self-adjoint Hamiltonians are needed to describe a given…

Mathematical Physics · Physics 2018-04-04 Fabio Bagarello , Evaldo M. F. Curado , Jean-Pierre Gazeau

The system is described by three mass-shell constraints. After a nonlinear transformation of the momenta, the analytic form taken by admissible interactions (allowing compatibility) is characterized in terms of the new variables. These…

High Energy Physics - Phenomenology · Physics 2009-11-11 Philippe Droz-Vincent

We discuss the problem of constructing self-adjoint and lower bounded Hamiltonians for a system of $n>2$ non-relativistic quantum particles in dimension three with contact (or zero-range or $\delta$) interactions. Such interactions are…

Mathematical Physics · Physics 2025-09-23 Daniele Ferretti , Alessandro Teta

We calculate the structure of three-body hypernuclei with $S=-1$ using pionless effective field theory at leading order in the isospin $I=0$ and $I=1$ sectors. In both sectors, three-body hypernuclei arise naturally from the Efimov effect…

Nuclear Theory · Physics 2020-07-16 F. Hildenbrand , H. -W. Hammer

Learning a many-body Hamiltonian from its dynamics is a fundamental problem in physics. In this work, we propose the first algorithm to achieve the Heisenberg limit for learning an interacting $N$-qubit local Hamiltonian. After a total…

Quantum Physics · Physics 2023-05-31 Hsin-Yuan Huang , Yu Tong , Di Fang , Yuan Su

Effective field theories have established themselves as key pillars of modern nuclear physics. They enable a quantitative understanding of the strong nuclear force, provided low-energy constants that parametrize short-distance physics can…

Nuclear Theory · Physics 2026-04-29 Sven Heihoff , Arseniy A. Filin , Evgeny Epelbaum