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The system of two interacting bosons in a two-dimensional harmonic trap is compared with the system consisting of two noninteracting fermions in the same potential. In particular, we discuss how the properties of the ground state of the…

Quantum Gases · Physics 2018-03-21 Pere Mujal , Artur Polls , Bruno Juliá-Díaz

We study few-boson tunneling in a one-dimensional double well. As we pass from weak interactions to the fermionization limit, the Rabi oscillations first give way to highly delayed pair tunneling (for medium coupling), whereas for very…

Other Condensed Matter · Physics 2008-07-22 Sascha Zöllner , Hans-Dieter Meyer , Peter Schmelcher

We demonstrate that many-body localization of two-dimensional weakly interacting bosons in disorder remains stable in the thermodynamic limit at sufficiently low temperatures. Highly energetic particles destroy the localized state only…

Disordered Systems and Neural Networks · Physics 2019-07-31 G. Bertoli , B. L. Altshuler , G. V. Shlyapnikov

We develop a numerical technique to study Anderson localization in interacting electronic systems. The ground state of the disordered system is calculated with quantum Monte-Carlo simulations while the localization properties are extracted…

Disordered Systems and Neural Networks · Physics 2009-02-25 Genevieve Fleury , Xavier Waintal

Double-well systems loaded with one, two, or many quantum particles give rise to intriguing dynamics, ranging from Josephson oscillation to self-trapping. This work presents theoretical and experimental results for two distinct double-well…

Quantum Gases · Physics 2020-06-25 Q. Guan , T. M. Bersano , S. Mossman , P. Engels , D. Blume

The Holstein Hamiltonian describes itinerant electrons whose site density couples to local phonon degrees of freedom. In the single site limit, at half-filling, the electron-phonon coupling results in a double well structure for the lattice…

Strongly Correlated Electrons · Physics 2023-08-10 C. Kvande , C. Feng , F. Hébert , G. G. Batrouni , R. T. Scalettar

We uncover the interaction-induced \emph{stable self-localization} of bosons in disorder-free superlattices. In these nonthermalized multi-particle states, one of the particles forms a superposition of multiple standing waves, so that it…

Quantum Physics · Physics 2023-05-03 Na Zhang , Yongguan Ke , Ling Lin , Li Zhang , Chaohong Lee

We study the quantum-classical correspondence of an experimentally accessible system of interacting bosons in a tilted triple-well potential. With the semiclassical analysis, we get a better understanding of the different phases of the…

Quantum Physics · Physics 2021-10-20 E. R. Castro , Jorge Chavez-Carlos , I. Roditi , Lea F. Santos , Jorge G. Hirsch

We study driven-dissipative Bose-Einstein condensates in a two-mode Josephson system, such as a double-well potential, with asymmetrical pumping. We investigate nonlinear effects on the condensate populations and mode transitions. The…

Mesoscale and Nanoscale Physics · Physics 2017-06-28 F. Bello , P. R. Eastham

We propose to experimentally realize an odd parity eigenstate $\left\vert b\right\rangle $ of two atoms in the double well. The occupation probability of this state shows evident dependence on the interaction, distinct from the result of…

Quantum Gases · Physics 2015-05-20 Yanxia Liu , Yunbo Zhang

Quantum many particle systems in which the kinetic energy, strong correlations, and band topology are all important pose an interesting and topical challenge. Here we introduce and study particularly simple models where all of these…

Strongly Correlated Electrons · Physics 2022-02-16 Zhihuan Dong , T. Senthil

We present exact expressions for the quantum sloshing of Bose-Einstein condensates in a tilted two-well potential. Tunneling is suppressed by a small potential difference between wells, or tilt. However, tunneling resonances occur for…

Quantum Physics · Physics 2010-05-06 Lincoln D. Carr , D. R. Dounas-Frazer , Miguel-Ángel García-March

We investigate the quantum dynamics of an experimentally realized spin-orbit coupled Bose-Einstein condensate in a double well potential. The spin-orbit coupling can significantly enhance the atomic inter-well tunneling. We find the…

Quantum Gases · Physics 2015-06-03 Dan-Wei Zhang , Li-Bin Fu , Z. D. Wang , Shi-Liang Zhu

How and why may an interacting system of many particles be described assuming that all particles are independent and identically distributed ? This question is at least as old as statistical mechanics itself. Its quantum version has been…

Analysis of PDEs · Mathematics 2021-01-20 Nicolas Rougerie

The exciton-exciton interaction is investigated for quasi-two-dimensional quantum structures. A bosonization scheme is applied including the full spin structure. For generating the effective interaction potentials, the Hartree-Fock and…

Mesoscale and Nanoscale Physics · Physics 2008-07-23 Christoph Schindler , Roland Zimmermann

We study the scaling of the localization length of two interacting particles in a one-dimensional random lattice with the single particle localization length. We obtain several regimes, among them one interesting weak Fock space disorder…

Disordered Systems and Neural Networks · Physics 2015-05-28 Dmitry O. Krimer , Ramaz Khomeriki , Sergej Flach

We present a microscopic derivation of a master equation for two-component bosons (bosonic qubits) which tunnel between spatially separated modes under local dephasing noise. Starting from the full system-bath Hamiltonian with Lorentzian…

Quantum Physics · Physics 2026-03-10 Alberto Ferrara , Farzam Nosrati , Andrea Smirne , Jyrki Piilo , Rosario Lo Franco

We calculate, numerically, the residence times (and their distribution) of a Brownian particle in a two-well system under the action of a periodic, saw-tooth type, external field. We define hysteresis in the system. The hysteresis loop area…

Statistical Mechanics · Physics 2009-10-30 Mangal C. Mahato , A. M. Jayannavar

We provide an account of the static and dynamic properties of hard-core bosons in a one-dimensional lattice subject to a multi-chromatic quasiperiodic potential for which the single-particle spectrum has mobility edges. We use the mapping…

Quantum Gases · Physics 2013-06-21 Pedro Ribeiro , Masudul Haque , Achilleas Lazarides

We study the population dynamics of a ring-shaped optical lattice with a high number of particles per site and a low, below ten, number of wells. Using a localized on-site basis defined in terms of stationary states, we were able to…

Quantum Gases · Physics 2013-07-30 D. M. Jezek , H. M. Cataldo