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Recent experimental breakthroughs in trapping, cooling and controlling ultracold gases of polar molecules, magnetic and Rydberg atoms have paved the way toward the investigation of highly tunable quantum systems, where anisotropic,…

Quantum Gases · Physics 2015-02-11 M. A. Baranov , M. Dalmonte , G. Pupillo , P. Zoller

In this review chapter we focus on the many-body dynamics of cold polar molecules in the strongly interacting regime. In particular, we discuss a toolbox for engineering many-body Hamiltonians based on the manipulation of the electric…

Other Condensed Matter · Physics 2008-05-14 G. Pupillo , A. Micheli , H. P. Büchler , P. Zoller

We consider one-dimensional tubes containing bosonic polar molecules. The long-range dipole-dipole interactions act both within a single tube and between different tubes. We consider arbitrary values of the externally aligned dipole moments…

Quantum Gases · Physics 2013-04-30 A. G. Volosniev , J. R. Armstrong , D. V. Fedorov , A. S. Jensen , M. Valiente , N. T. Zinner

We here give a brief survey of our new many-body theory for composite excitons, as well as some of the results we have already obtained using it. In view of them, we conclude that, in order to fully trust the results one finds, interacting…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Combescot , O. Betbeder-Matibet

We explore the zero-temperature behavior of an assembly of bosons interacting through a zero-range, attractive potential. Because the two-body interaction admits a bound state, the many-body model is best described by a Hamiltonian that…

Other Condensed Matter · Physics 2011-11-10 George E. Cragg , Arthur K. Kerman

We design dipolar quantum many-body Hamiltonians that will facilitate the realization of exotic quantum phases under current experimental conditions achieved for polar molecules. The main idea is to modulate both single-body potential…

This article reviews the recent theoretical and experimental advances in the study of ultracold gases made of bosonic particles interacting via the long-range, anisotropic dipole-dipole interaction, in addition to the short-range and…

Quantum Gases · Physics 2009-11-20 T Lahaye , C Menotti , L Santos , M Lewenstein , T Pfau

Open many-body quantum systems have attracted renewed interest in the context of quantum information science and quantum transport with biological clusters and ultracold atomic gases. The physical relevance in many-particle bosonic systems…

Quantum Gases · Physics 2015-10-02 G. Kordas , D. Witthaut , P. Buonsante , A. Vezzani , R. Burioni , A. I. Karanikas , S. Wimberger

A description of a large system of particles is often sought in a derivation from the detailed behaviour of just a few of the particles. The present thesis deals with the connection between such microscopic features and the nature of a…

Soft Condensed Matter · Physics 2007-05-23 O. Sørensen

The Bogoliubov theory of weakly interacting bosons is generalized to Bose-Einstein condensates with internal degrees of freedom so that a single effective Hamiltonian produces various many-body ground states or metastable spin domains and…

Statistical Mechanics · Physics 2009-10-31 Masahito Ueda

We develop a general method for constructing the many-body Hamiltonian of pairwise interactions describing homonuclear mixtures of atoms occupying states with different total angular momenta or other quantum numbers. The advantage of the…

Quantum Gases · Physics 2026-05-22 M. Bulakhov , A. S. Peletminskii , Yu. V. Slyusarenko

We study the many-body effects on coherent atom-molecule oscillations by means of an effective quantum field theory that describes Feshbach-resonant interactions in Bose gases in terms of an atom-molecule hamiltonian. We determine…

Statistical Mechanics · Physics 2014-10-13 R. A. Duine , H. T. C. Stoof

We present a quantitative study of many-body effects including the three-particle level on second-harmonic generation in monolayer MoS$_2$. Our approach combines many-body perturbation theory with time-dependent current-density-functional…

Materials Science · Physics 2026-04-01 Peio Garcia-Goiricelaya , Julen Ibañez-Azpiroz

An approximate many-body theory incorporating two-body correlations has been employed to calculate low-lying collective multipole frequencies in a Bose-Einstein condensate containing $A$ bosons, for different values of the interaction…

Quantum Gases · Physics 2009-07-21 Anindya Biswas , Tapan Kumar Das

We study the evolution of a many-particle system whose wave function obeys the N-body Schroedinger equation under Bose symmetry. The system Hamiltonian describes pairwise particle interactions in the absence of an external potential. We…

Analysis of PDEs · Mathematics 2008-03-18 Manoussos G. Grillakis , Dionisios Margetis

We analyze the propagation of experimentally relevant two-particle correlations for one-dimensional interacting bosons, and give evidence that many-body chaos induces the emergence of an effective diffusive regime for the fully coherent…

Quantum Physics · Physics 2025-02-12 Óscar Dueñas , David Peña , Alberto Rodríguez

We consider weakly interacting bosonic gases with local and non-local multi-body interactions. By using the Bogoliubov approximation, we first investigate contact interactions, studying the case in which the interparticle potential can be…

Quantum Gases · Physics 2017-10-10 D. Laghi , T. Macrì , A. Trombettoni

The electron-phonon interaction plays a crucial role in many fields of physics and chemistry. Nevertheless, its actual calculation by means of modern many-body perturbation theory is weakened by the use of model Hamiltonians that are based…

Materials Science · Physics 2015-05-15 Andrea Marini , Samuel Poncé , Xavier Gonze

We solve numerically exactly the many-body 1D model of bosons interacting via short-range and dipolar forces and moving in the box with periodic boundary conditions. We show that the lowest energy states with fixed total momentum can be…

Many unconventional quantum matters, such as fractional quantum Hall effect and $d$-wave high-Tc superconductor, are discovered in strongly interacting systems. Understanding quantum many-body systems with strong interaction and the…

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