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In recent years researchers have attempted to improve the continuum state three-body wavefunction for three, mutually interacting Coulomb particles by including, so called, local momentum effects, which depend upon the logarithmic gradient…

Atomic Physics · Physics 2009-09-25 M. J. Schillaci

We consider a one-dimensional gas of cold atoms with strong contact interactions and construct an effective spin-chain Hamiltonian for a two-component system. The resulting Heisenberg spin model can be engineered by manipulating the shape…

Quantum Gases · Physics 2015-02-24 A. G. Volosniev , D. Petrosyan , M. Valiente , D. V. Fedorov , A. S. Jensen , N. T. Zinner

We study the two-body bound states of a model Hamiltonian that describes the interaction between two field-oriented dipole moments. This model has been used extensively in many-body physics of ultracold polar molecules and magnetic atoms,…

Quantum Physics · Physics 2018-12-12 Tijs Karman , Matthew D. Frye , John D. Reddel , Jeremy M. Hutson

We study the collisional processes that can lead to thermalization in one-dimensional systems. For two body collisions excitations of transverse modes are the prerequisite for energy exchange and thermalzation. At very low temperatures…

Quantum Gases · Physics 2010-07-16 I. E. Mazets , J. Schmiedmayer

The extended Bose-Hubbard model with pure three-body local interactions is studied using the Density Matrix Renormalization Group approach. The shapes of the first two insulating lobes are discussed, and the values of the critical tunneling…

Quantum Gases · Physics 2019-09-19 Tomasz Sowiński

We obtain analytical expressions for an effective potential of interaction between two- and three-dimensional (2D and 3D) solitons (including the case of 2D vortex solitons) belonging to two different modes which are incoherently coupled by…

patt-sol · Physics 2009-10-31 Andrey Maimistov , Boris Malomed , Anton Desyatnikov

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

The interaction blockade phenomenon isolates the motion of a single quantum particle within a multi-particle system, in particular for coherent oscillations in and out of a region affected by the blockade mechanism. For identical quantum…

Quantum Gases · Physics 2017-07-18 Jayson G. Cosme , Mikkel F. Andersen , Joachim Brand

We examine the dynamics of a Bose-Einstein condensate in a symmetric double-well potential for a broad range of non-linear couplings. We demonstrate the existence of a region, beyond those of Josephson oscillations and self-trapping, which…

Quantum Gases · Physics 2011-01-11 B. Juliá-Díaz , J. Martorell , M. Melé-Messeguer , A. Polls

A multi-component formalism is developed to describe three-body systems with nonstatic pairwise interactions and non-nucleonic degrees of freedom. The dressed-bag model for $NN$ interaction based on the formation of an intermediate…

Nuclear Theory · Physics 2009-11-10 V. I. Kukulin , V. N. Pomerantsev , M. Kaskulov , Amand Faessler

A general study of excitations up to two-phonon states is carried out using the intrinsic-state formalism of the Interacting Boson Model (IBM). Spectra and transitions for the different dynamical symmetries are analyzed and the…

Nuclear Theory · Physics 2009-10-31 J. E. Garcia-Ramos , C. E. Alonso , J. M. Arias , P. Van Isacker , A. Vitturi

We theoretically investigate the transport properties of cold bosonic atoms in a quasi one-dimensional triple-well potential that consists of two large outer wells, which act as microscopic source and drain reservoirs, and a small inner…

Quantum Gases · Physics 2015-05-14 P. Schlagheck , F. Malet , J. C. Cremon , S. M. Reimann

Trapped Rydberg ions represent a flexible platform for quantum simulation and information processing which combines a high degree of control over electronic and vibrational degrees of freedom. The possibility to individually excite ions to…

Quantum Gases · Physics 2020-09-30 Filippo Maria Gambetta , Chi Zhang , Markus Hennrich , Igor Lesanovsky , Weibin Li

The exchange of collective modes has been demonstrated to be a powerful tool for inducing superconductivity and superfluidity in various condensed matter and atomic systems. In this article, we study the mediated interactions of collective…

Quantum Gases · Physics 2024-03-19 Santiago Moroni-García , Arturo Camacho-Guardian

A generalisation of the Jaynes-Cummings-Hubbard model for coupled-cavity arrays is introduced, where the embedded two-level system in each cavity is replaced by a $\Xi$-type three-level system. We demonstrate that the resulting effective…

Quantum Gases · Physics 2018-11-06 Srivatsa B. Prasad , Andrew M. Martin

Long-range and multi-body interactions are crucial for quantum simulation and quantum computation. Yet, their practical realization using elementary pairwise interactions remains an outstanding challenge. We propose an experimental scheme…

Quantum Physics · Physics 2026-05-19 Runmin Wu , Bing Yang , Pieter W. Claeys , Hongzheng Zhao

We briefly summarize the most relevant steps in the search of rigorous results about the properties of quantum systems made of three bosons interacting with zero-range forces. We also describe recent attempts to solve the unboundedness…

Mathematical Physics · Physics 2020-01-29 Rodolfo Figari , Alessandro Teta

We develop a quantum field theoretical framework to analytically study the three-body constrained Bose-Hubbard model beyond mean field and non-interacting spin wave approximations. It is based on an exact mapping of the constrained model to…

Quantum Gases · Physics 2010-08-24 S. Diehl , M. Baranov , A. J. Daley , P. Zoller

We consider a Bose-Hubbard trimer, i.e. an ultracold Bose gas populating three quantum states. The latter can be either different sites of a triple-well potential or three internal states of the atoms. The bosons can tunnel between…

Quantum Gases · Physics 2015-07-17 A. Gallemí , M. Guilleumas , J. Martorell , R. Mayol , A. Polls , B. Juliá-Díaz

3He and the triton are studied as three-body bound states in the effective field theory without pions. We study 3He using the set of integral equations developed by Kok et al. which includes the full off-shell T-matrix for the Coulomb…

Nuclear Theory · Physics 2011-02-01 Shung-ichi Ando , Michael C. Birse