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We investigate the possible existence of the bound state in the system of three bosons interacting with each other via zero-radius potentials in two dimensions (it can be atoms confined in two dimensions or tri-exciton states in…

Quantum Gases · Physics 2017-01-10 Tianhao Ren , Igor Aleiner

We study the dynamical properties of a few bosons confined in an one-dimensional split hard wall trap with the interaction strength varying from the weakly to strongly repulsive regime. The system is initially prepared in one side of the…

Quantum Gases · Physics 2012-08-02 Hongli Guo , Xiangguo Yin , Shu Chen

We consider a hybrid atom-ion system consisting of a pair of bosons interacting with a single ion in a quasi-one-dimensional trapping geometry. Building upon a model potential for the atom-ion interaction developed in earlier theoretical…

Quantum Physics · Physics 2023-02-14 Daniel J. Bosworth , Maxim Pyzh , Peter Schmelcher

We calculate thermodynamic properties of soft-core lattice bosons with on-site $n$-body interactions using up to twelfth and tenth order strong coupling expansion in one and two dimensional cubic lattices at zero temperature. Using linked…

Quantum Gases · Physics 2014-08-27 Vipin Kerala Varma , Hartmut Monien

We analyse the ground-state properties of three-body constrained bosons in a one dimensional optical lattice with staggered hoppings analogous to the double well optical lattice. By considering attractive and repulsive on-site interactions…

Quantum Gases · Physics 2019-07-31 Suman Mondal , Sebastian Greschner , Tapan Mishra

We show that for ultra-cold neutral bosonic atoms held in a three-dimensional periodic potential or optical lattice, a Hubbard model with dominant, attractive three-body interactions can be generated. In fact, we derive that the effect of…

Quantum Gases · Physics 2016-05-04 Saurabh Paul , P. R. Johnson , Eite Tiesinga

Using a generalized Bohr model and the hyper-spherical formalism for a three-body system, we derive the Thomas theorem assuming a simple interaction depending on the range of the potential. We discuss the conditions for which an unbound…

Nuclear Theory · Physics 2020-08-13 H. Zheng , A. Bonasera

In this paper, the quantum phase transition between superfluid state and Mott-insulator state is studied based on an extended Bose-Hubbard model with two- and three-body on-site interactions. By employing the mean-field approximation we…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Bo-Lun Chen , Xiao-Bin Huang , Su-Peng Kou , Yunbo Zhang

We theoretically analyze the dynamics of an atomic double-well system with a single ion trapped in its center. We find that the atomic tunnelling rate between the wells depends both on the spin of the ion via the short-range spin-dependent…

Quantum Physics · Physics 2015-06-19 Jannis Joger , Antonio Negretti , Rene Gerritsma

Bosons in periodic potentials with very strong local interactions, known as the constrained bosons often exhibit interesting physical behavior. We investigate the ground state properties of a two-leg Bose-Hubbard ladder by imposing…

Quantum Gases · Physics 2023-08-09 Ashirbad Padhan , Rajashri Parida , Sayan Lahiri , Mrinal Kanti Giri , Tapan Mishra

The extended Bose-Hubbard model for a double-well potential with atom-pair tunneling is studied. Starting with a classical analysis we determine the existence of three different quantum phases: self-trapping, phase-locking and Josephson…

Statistical Mechanics · Physics 2017-04-12 Diefferson Rubeni , Jon Links , Phillip Isaac , Angela Foerster

In this work we investigate the different states of a system of spin-1 bosons in two potential wells connected by tunneling, with spin-dependent interaction. The model utilizes the well-known Bose-Hubbard Hamiltonian, adding a local…

Quantum Gases · Physics 2015-04-16 D. W. S. Carvalho , A. Foerster , M. A. Gusmão

The study of entanglement between bosonic systems is of primary importance for establishing feasible resources needed for implementing quantum information protocols, both in their interacting atomic or photonic realizations. Atomic systems…

Quantum Physics · Physics 2014-12-31 Fabio Gentile , Arianna Montorsi , Marco Roncaglia

Motivated by previous suggestions that three-body hard-core interactions in lower-dimensional ultracold Bose gases might provide a way for creation of non-Abelian anyons, the exact ground state of a harmonically trapped 1D Bose gas with…

Quantum Gases · Physics 2010-11-12 M. D. Girardeau

We investigate the quantum dynamics of two bosons, trapped in a two-dimensional harmonic trap, upon quenching arbitrarily their interaction strength thereby covering the entire energy spectrum. Utilizing the exact analytical solution of the…

Quantum Gases · Physics 2019-11-13 G. Bougas , S. I. Mistakidis. , P. Schmelcher

We present an approach for evaluating Wannier functions, offering an alternative perspective on their role in many-body systems. Unlike traditional methods, such as the maximally localized Wannier functions approach, which focuses on…

Strongly Correlated Electrons · Physics 2025-01-09 Matteo Zendra , Fausto Borgonovi , Giuseppe Luca Celardo , Shmuel Gurvitz

We have prepared two ultracold fermionic atoms in an isolated double-well potential and obtained full control over the quantum state of this system. In particular, we can independently control the interaction strength between the particles,…

The different kinds of behaviour of three-body systems in the weak binding limit are classified with specific attention to the transition from a true three-body system to an effective two-body system. For weakly bound Borromean systems…

Nuclear Theory · Physics 2010-12-17 A. S. Jensen , K. Riisager , D. V. Fedorov , E. Garrido

We show that polar molecules driven by microwave fields give naturally rise to strong three-body interactions, while the two-particle interaction can be independently controlled and even switched off. The derivation of these effective…

Statistical Mechanics · Physics 2015-06-25 H. P. Büchler , A. Micheli , P. Zoller

The three-body energy-dependent effective interaction given by the Bloch-Horowitz (BH) equation is evaluated for various shell-model oscillator spaces. The results are applied to the test case of the three-body problem (triton and He3),…

Nuclear Theory · Physics 2009-11-10 T. C. Luu , S. Bogner , W. C. Haxton , P. Navratil