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We present a construction of an improved two-mode model for modeling the dynamics of interacting ultra-cold bosons confined in a one-dimensional double well trap. Unlike in the typically used two-mode model based on the lowest…

Quantum Gases · Physics 2017-12-29 Jacek Dobrzyniecki , Tomasz Sowiński

We calculate the effective three-body force for bosons interacting with each other by a two-body potential tuned to a narrow zero crossing in any dimension. We use the standard two-channel model parametrized by the background atom-atom…

Quantum Gases · Physics 2019-10-15 A. Pricoupenko , D. S. Petrov

We theoretically investigate the possibility of performing high precision estimation of an externally imposed acceleration using scalar bosons in a single-well trap. We work at the level of a two-mode truncation, valid for weak to…

Quantum Physics · Physics 2019-04-18 Julien M. E. Fraïsse , Jae-Gyun Baak , Uwe R. Fischer

We study the dynamics of three-dimensional Bose-Einstein condensates confined by double-well potentials using a two-mode model with an effective on-site interaction energy parameter. The effective on-site interaction energy parameter is…

Quantum Gases · Physics 2018-02-27 Mauro Nigro , Pablo Capuzzi , Horacio M. Cataldo , Dora M. Jezek

We study the tunneling of a small ensemble of strongly repulsive bosons in a one-dimensional triple-well potential. The usual treatment within the single-band approximation suggests suppression of tunneling in the strong interaction regime.…

Quantum Physics · Physics 2011-03-23 Lushuai Cao , Ioannis Brouzos , Sascha Zöllner , Peter Schmelcher

The dynamics of two ultra-cold bosons confined in a one-dimensional double-well potential is studied. We compare the exact dynamics governed by a full two-body Hamiltonian with the dynamics obtained in a two-mode model approximation. We…

Quantum Gases · Physics 2024-04-22 Jacek Dobrzyniecki , Tomasz Sowiński

A two-body interaction or force between quantum particles is ubiquitous in nature, and the microscopic description in terms of the bare two-body interaction is the basis for quantitatively describing interacting few- and many-body systems.…

Quantum Gases · Physics 2025-06-17 Kantaro Honda , Yosuke Takasu , Yuki Haruna , Yusuke Nishida , Yoshiro Takahashi

We study ultracold atoms in an optical lattice with two local minima per unit cell and show that the low energy states of a multi-band Bose-Hubbard (BH) Hamiltonian with only pair-wise interactions is equivalent to an effective single-band…

Quantum Gases · Physics 2015-07-20 Saurabh Paul , Eite Tiesinga

We propose a method of controlling two- and three-body interactions in an ultracold Bose gas in any dimension. The method requires us to have two coupled internal single-particle states split in energy such that the upper state is occupied…

Quantum Gases · Physics 2014-03-12 D. S. Petrov

Ultracold interacting atoms are an excellent tool to study correlation functions of many-body systems that are generally eluding detection and manipulation. Herein, we investigate the ground state of bosons in a tilted triple-well potential…

Quantum Gases · Physics 2019-06-12 Sunayana Dutta , Marios C. Tsatsos , Saurabh Basu , Axel U. J. Lode

We study the few-body dynamics of dipolar bosons in one-dimensional double-wells. Increasing the interaction strength, by investigating one-body observables, we study in the considered few-body systems tunneling oscillations, self-trapping…

Quantum Gases · Physics 2022-05-30 Rhombik Roy , Barnali Chakrabarti , Andrea Trombettoni

We study the dynamics of three-dimensional weakly linked Bose-Einstein condensates using a multimode model with an effective interaction parameter. The system is confined by a ring-shaped four-well trapping potential. By constructing a…

Quantum Gases · Physics 2018-02-27 M. Nigro , P. Capuzzi , H. M. Cataldo , D. M. Jezek

The two and three-body contacts are central to a set of univeral relations between microscopic few-body physics within an ultracold Bose gas and its thermodynamical properties. They may also be defined in trapped few-particle systems, which…

Quantum Gases · Physics 2019-02-01 V. E. Colussi

We study the ground state of a large bosonic system trapped in a symmetric double-well potential, letting the distance between the two wells increase to infinity with the number of particles. In this context, one should expect an…

Mathematical Physics · Physics 2018-03-14 Nicolas Rougerie , Dominique Spehner

We study bosonic systems in the regime in which the two-body system has a shallow bound state or, equivalently, a large value of the two-body scattering length. Using the effective field theory framework as a guide, we construct a series of…

Atomic Physics · Physics 2022-09-14 Paolo Recchia , Alejandro Kievsky , Luca Girlanda , Mario Gattobigio

We study systems of three bosons bound by a long-range interaction supplemented by a short-range potential of variable strength. This generalizes the usual two-body exotic atoms where the Coulomb interaction is modified by nuclear forces at…

Quantum Gases · Physics 2017-09-08 Jean-Marc Richard , Claude Fayard

Universal low-energy properties are studied for three identical bosons confined in two dimensions. The short-range pair-wise interaction in the low-energy limit is described by means of the boundary condition model. The wave function is…

Atomic Physics · Physics 2009-11-11 O. I. Kartavtsev , A. V. Malykh

We consider a finite number $N$ of interacting bosonic atoms at zero temperature confined in a one-dimensional double-well trap and study this system by using the two-site Bose-Hubbard (BH) Hamiltonian. For systems with $N=2$ and $N=3$, and…

Quantum Gases · Physics 2015-02-25 Mario Galante , Giovanni Mazzarella , Luca Salasnich

Systems of interacting bosons in triple-well potentials are of significant theoretical and experimental interest. They are explored in contexts that range from quantum phase transitions and quantum dynamics to semiclassical analysis. Here,…

Statistical Mechanics · Physics 2022-04-06 Karin Wittmann W. , E. R. Castro , Angela Foerster , Lea F. Santos

We investigate the problem of two atoms interacting via a short range s-wave potential in the presence of a deep optical lattice of arbitrary dimension $D$. Using a tight binding approach, we derive analytical results for the properties of…

Other Condensed Matter · Physics 2009-11-11 M. Wouters , G. Orso
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