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In a k-dimensional system of weakly interacting Bose atoms trapped by a spherically symmetric and harmonic external potential, an exact expression is obtained for the rotating ground states at a fixed angular momentum. The result is valid…

Statistical Mechanics · Physics 2009-11-07 O. K. Vorov , M. S. Hussein , P. Van Isacker

A Bose-Einstein condensate (BEC) of rubidium atoms is prepared in one of two degenerate energy minima in the second Bloch band of an optical square lattice. A subsequent oscillation of the BEC between the two energy minima is observed,…

Quantum Gases · Physics 2021-05-26 J. Vargas , M. Nuske , R. Eichberger , C. Hippler , L. Mathey , A. Hemmerich

Quantum droplets (QDs) are self-trapped modes stabilized by the Lee-Huang-Yang correction to the mean-field Hamiltonian of binary atomic Bose-Einstein condensates. The existence and stability of quiescent and rotating dipole-shaped and…

Quantum Gases · Physics 2024-07-15 Dongshuai Liu , Yanxia Gao , Dianyuan Fan , Boris A. Malomed , Lifu Zhang

We study the dynamics of a Bose-Einstein condensate in a one-dimensional optical lattice in the limit of weak atom-atom interactions, including an approximate model for quantum fluctuations. A pulsating dynamical instability in which atoms…

Other Condensed Matter · Physics 2009-04-17 Uttam Shrestha , Juha Javanainen , Janne Ruostekoski

Based on a two-mode boson model, we study nonclassical properties of the atom-molecule Bose-Einstein condensate. The effects of nonlinear collisions on the dynamics of the molecular formation is studied both in classical and quantum…

Other Condensed Matter · Physics 2007-05-23 Guang-Ri Jin , Chul Koo Kim , Kyun Nahm

In a trapped Bose-Einstein condensate, subject to the action of an alternating external field, coherent topological modes can be resonantly excited. Depending on the amplitude of the external field and detuning parameter, there are two…

Quantum Physics · Physics 2007-09-25 E. R. F. Ramos , L. Sanz , V. I. Yukalov , V. S. Bagnato

The collisional dynamics of two symmetric droplets with equal intraspecies scattering lengths and particle number density for each component is studied by solving the corresponding extended Gross-Pitaevskii equation in two dimensions by…

Quantum Gases · Physics 2024-05-01 Yanming Hu , Yifan Fei , Xiao-Long Chen , Yunbo Zhang

Bose mixture quantum droplets display a fascinating stability that relies on quantum fluctuations to prevent collapse driven by mean-field effects. Most droplet research focuses on untrapped or weakly trapped scenarios, where the droplets…

Quantum Gases · Physics 2023-09-27 T. A. Yoğurt , U. Tanyeri , A. Keleş , M. Ö. Oktel

We theoretically study the out-of-equilibrium dynamics in momentum space of a weakly interacting disordered Bose gas launched with a finite velocity. In the absence of interactions, coherent multiple scattering gives rise to a background of…

Quantum Gases · Physics 2020-11-25 Thibault Scoquart , Thomas Wellens , Dominique Delande , Nicolas Cherroret

We theoretically investigate ground-state properties and collective excitations of one-dimensional quantum droplets in asymmetric Bose-Bose mixtures with unequal intraspin interactions. Using the extended Gross-Pitaevskii equation supported…

Quantum Gases · Physics 2026-01-26 Huiyun Xiao , Xinran Zhang , Junli Liu , Xucong Du , Xiao-Long Chen , Yunbo Zhang

Quantum droplets have intrigued much attention recently in view of their successful observations in the ultracold homonuclear atoms. In this work, we demonstrate a new mechanism for the formation of quantum droplet in heteronuclear atomic…

Quantum Gases · Physics 2018-09-12 Xiaoling Cui

Spin-orbit coupled bosons can exhibit rich equilibrium phases at low temperature and in the presence of particle-particle interactions. In the case with a 1D synthetic spin-orbit interaction, it has been observed that the ground state of a…

Quantum Gases · Physics 2016-06-22 Jeffrey Ting Fung Poon , Xiong-Jun Liu

We experimentally and numerically study the collapse dynamics of a quantum vortex in a two-dimensional atomic superfluid following a fast interaction ramp from repulsion to attraction. We find the conditions and time scales for a superfluid…

These lecture notes contain an introduction to quantum simulation of bosonic systems in the continuum, focusing on weakly interacting Bose-Bose mixtures with competing mean-field interactions. When the values of such interactions are…

Quantum Gases · Physics 2026-03-19 Sarah Hirthe , Leticia Tarruell

A hierarchy of equations for equilibrium reduced density matrices obtained earlier is used to consider systems of spinless bosons bound by forces of gravity alone. The systems are assumed to be at absolute zero of temperature under…

Quantum Physics · Physics 2015-06-24 V. A. Golovko

We report on the formation of heteronuclear quantum droplets in an attractive bosonic mixture of 41K and 87Rb. We observe long-lived self-bound states, both in free space and in an optical waveguide. In the latter case, the dynamics under…

Quantum Gases · Physics 2019-12-11 C. D'Errico , A. Burchianti , M. Prevedelli , L. Salasnich , F. Ancilotto , M. Modugno , F. Minardi , C. Fort

We review and extend the theory of the dynamics of Bose-Einstein condensation in weakly interacting atomic gases. We present in a unified way both the semiclassical theory as well as the full quantum theory. This is achieved by deriving a…

Statistical Mechanics · Physics 2007-05-23 H. T. C. Stoof

We consider a two-dimensional self-bound quantum droplet, which consists of a mixture of two Bose-Einstein condensates. We start with the ground state, and then turn to the rotational response of this system, in the presence of an external…

Quantum Gases · Physics 2020-08-26 P. Examilioti , G. M. Kavoulakis

We investigate theoretically the long-range electrostatic interactions between a ground-state homonuclear alkali-metal dimer and an excited alkali-metal atom taking into account its fine-structure. The interaction involves the combination…

Chemical Physics · Physics 2017-09-13 Maxence Lepers , Olivier Dulieu

We consider quantum droplets in dipolar Bose-Einstein condensates (BECs) embedded in optical lattices within the framework of Gross-Pitaevskii equations. In dipolar BECs, the long-range and anistropic dipole-dipole interaction provides an…

Quantum Gases · Physics 2026-04-03 Sk Siddik , Golam Ali Sekh