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Related papers: Bosons in a double well: two-mode approximation an…

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Bosonic two-ring ladders constitute an important class of atomtronic circuits, where coherent current flows not only can offer a new insight into many-body physics, but also can play the role of actual degrees of freedom, and hence allow…

Quantum Gases · Physics 2021-05-25 Albert Escrivà , Andrea Richaud , Bruno Juliá-Díaz , Montserrat Guilleumas

A triaxial core rotating around the middle axis, i.e. 2-axis, is cranked around the 1-axis, due to the coupling of an odd proton from a high j orbital. Using the Bargmann representation of a new and complex boson expansion of the angular…

Nuclear Theory · Physics 2020-12-30 A. A. Raduta , C. M. Raduta , R. Poenaru

We numerically investigate the soliton tunnelling process in double-well potential trapped Bose-Einstein condensate. Comparing with the usual low energy few particle tunnelling process, we find that the soliton tunnelling leads to massive…

Quantum Gases · Physics 2019-03-04 Decheng Ma , Chenglong Jia

We develop a theory of non-relativistic bosons in two spatial dimensions with a weak short range attractive interaction. In the limit as the range of the interaction becomes small, there is an ultra-violet divergence in the problem. We…

High Energy Physics - Theory · Physics 2007-05-23 S. G. Rajeev

We consider effects of artificial magnetic fields on the ground state of the two-dimensional Bose-Hubbard model. Using an asymmetric Bose-Hubbard model, we demonstrate that the frustrating hopping energy localizes bosons and enlarges…

Quantum Gases · Physics 2025-07-17 Mohammadamin Jaberi , Fatemeh Heydarinasab

We study correlation effects and excitations in a dipolar Bose gas bilayer which is modeled by a one-dimensional double well trap that determines the width of an individual layer, the distance between the two layers, and the height of the…

Quantum Gases · Physics 2015-06-12 Diana Hufnagl , Robert E. Zillich

Two connected equiperiodic one-dimensional multi-well potentials of different well depths are studied. Floquet/Bloch energy bands for respective multi-well potential are found to be relevant for understanding level structures. Althoug…

Quantum Physics · Physics 2020-07-07 Karl-Erik Thylwe

We consider a Bose-Hubbard model with an arbitrary hopping term and provide the boundary of the insulating phase thereof in terms of third-order strong coupling perturbative expansions for the ground state energy. In the general case two…

Soft Condensed Matter · Physics 2007-05-23 P. Buonsante , V. Penna , A. Vezzani

The fragmentation of the ground state of a repulsive condensate immersed into a double-trap potential is found to be a general and critical phenomenon. It takes place for a given number of bosons if their scattering length is larger than…

Other Condensed Matter · Physics 2009-11-10 Alexej I. Streltsov , Lorenz S. Cederbaum , Nimrod Moiseyev

We investigate collective excitations of Bose-Einstein condensates at absolute zero in a double-well trap. We solve the Bogoliubov equations with a double-well trap, and show that the crossover from the dipole mode to the Josephson plasma…

Other Condensed Matter · Physics 2009-11-11 Ippei Danshita , Kyota Egawa , Nobuhiko Yokoshi , Susumu Kurihara

We argue that the tunneling between two 2D electron gases in a weak magnetic field is of resonance character, and involves a long lifetime excitonic state of an electron and hole {\it uniformly spread} over cyclotron orbits. We find that…

Condensed Matter · Physics 2007-05-23 L. S. Levitov , A. V. Shytov

We consider a dilute homogeneous Bose gas with both an isotropic short-range contact interaction and an anisotropic long-range dipole-dipole interaction in a weak random potential at low temperature in three dimensions. Within the realm of…

Quantum Gases · Physics 2015-01-09 Mahmoud Ghabour , Axel Pelster

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

We consider a gas of $N$ bosons in a box with volume one interacting through a two-body potential with scattering length of order $N^{-1}$ (Gross-Pitaevskii limit). Assuming the (unscaled) potential to be sufficiently small, we show that…

Mathematical Physics · Physics 2021-04-09 Chiara Boccato , Christian Brennecke , Serena Cenatiempo , Benjamin Schlein

We analytically calculate the leading quantum corrections of the ground-state energy of two- and one-dimensional weakly interacting Rabi-coupled Bose-Bose mixtures in the frame of the Bogoliubov approximation. We show that to repulsive…

Quantum Gases · Physics 2019-05-23 Emerson Chiquillo

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

Now that the low temperature properties of quantum-mechanical many-body systems (bosons) at low density, $\rho$, can be examined experimentally it is appropriate to revisit some of the formulas deduced by many authors 4-5 decades ago. For…

Mathematical Physics · Physics 2007-05-23 Elliott H. Lieb , Robert Seiringer , Jan Philip Solovej , Jakob Yngvason

This paper explores a system of interacting `soft core' bosons in the Gross-Pitaevskii mean-field approximation in a random Bernoulli potential. First, a condition for delocalization of the ground state wave function is proved which depends…

Mathematical Physics · Physics 2015-06-12 Michael Bishop , Jan Wehr

Macroscopic quantum coherence of Bose gas in a double-well potential is studied based on SU(2)-coherent-state path-integral. The ground state and fluctuations around it can be obtained by this method. In this picture, one can obtain…

Condensed Matter · Physics 2016-08-16 Yi Zhou , Hui Zhai , Rong Lü , Zhan Xu , Lee Chang

We investigate the ground state properties and tunneling dynamics of ultracold dipolar bosons in a one dimensional triple well trap from a few-body ab-initio perspective. Our focus is primarily on the distinctive features of dipolar bosons…

Quantum Gases · Physics 2015-06-12 Budhaditya Chatterjee , Ioannis Brouzos , Lushuai Cao , Peter Schmelcher