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We investigate the mean-field scattering dynamics of a quasi-one-dimensional Bose--Einstein condensate interacting with a Rosen--Morse potential. For specific potential and nonlinearity parameters, we derive analytically exact, degenerate…

Quantum Gases · Physics 2025-11-06 Feilong Wang , Jinlin Fan , Ruolin Chai , Zhibin Zhao , Qiongtao Xie

It is well-known that a stable algebraic spin liquid state (or equivalently an algebraic Bose liquid (ABL) state) with emergent gapless photon excitations can exist in quantum spin ice systems, or in a quantum dimer model on a bipartite…

Strongly Correlated Electrons · Physics 2016-02-01 Alex Rasmussen , Yi-Zhuang You , Cenke Xu

We show that the degeneracy parameter of a trapped Bose gas can be changed adiabatically in a reversible way, both in the Boltzmann regime and in the degenerate Bose regime. We have performed measurements on spin-polarized atomic hydrogen…

Atomic Physics · Physics 2016-08-15 P. W. H. Pinkse , A. Mosk , M. Weidemüller , M. W. Reynolds , T. W. Hijmans , J. T. M. Walraven

Properties of the ground state and the spectrum of elementary excitations are investigated for the low density ultracold spinor 3D Bose gas of particles with arbitrary nonzero spin. Gross-Pitaevskii equations are derived. Within the…

Quantum Gases · Physics 2021-01-19 V. S. Babichenko , I. Ya. Polishchuk

The ground-state phase properties of a two-dimensional Bose system with dipole-dipole interactions is studied by means of quantum Monte Carlo techniques. Limitations of mean-field theory in a two-dimensional geometry are discussed. A…

Other Condensed Matter · Physics 2017-08-23 G. E. Astrakharchik , J. Boronat , J. Casulleras , I. L. Kurbakov , Yu. E. Lozovik

We study a one-dimensional disordered Bose fluid using bosonization, the replica method and a nonperturbative functional renormalization-group approach. We find that the Bose-glass phase is described by a fully attractive strong-disorder…

Quantum Gases · Physics 2020-05-14 Nicolas Dupuis , Romain Daviet

Degeneracy effects for bosons are more important for smaller particle mass, smaller temperature and higher number density. Bose condensation requires that particles be in the same lowest energy quantum state. We propose a cosmic background…

General Physics · Physics 2013-06-17 Antonio Alfonso-Faus , Màrius Josep Fullana i Alfonso

A rapidly rotating Bose-Einstein condensate in a symmetric two-dimensional trap can be described with the lowest Landau-level set of states. In this case, the condensate wave function psi(x,y) is a Gaussian function of r^2 = x^2 + y^2,…

Statistical Mechanics · Physics 2009-11-11 Alexander L. Fetter

We consider the Gross-Pitaevskii equation describing a dipolar Bose-Einstein condensate without external confinement. We first consider the unstable regime, where the nonlocal nonlinearity is neither positive nor radially symmetric and…

Analysis of PDEs · Mathematics 2019-05-07 Jacopo Bellazzini , Luigi Forcella

Dilute Bose gases, cooled down to low temperatures below the Bose-Einstein condensation temperature, form coherent ensembles described by the Gross-Pitaevskii equation. Stationary solutions to the latter are topological coherent modes. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 V. I. Yukalov , E. P. Yukalova

A new class of solutions for Bose crystals with a simple cubic lattice consisting of N atoms is found. The wave function (WF) of the ground state takes the form \Psi_0=e^{S_{w}^{l}+S_{b}}*\prod_j…

Other Condensed Matter · Physics 2012-01-13 Maksim Tomchenko

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

We study a system of penetrable bosons embedded in a spherical surface. Under the assumption of weak interaction between the particles, the ground state of the system is, to a good approximation, a pure condensate. We employ thermodynamic…

Quantum Gases · Physics 2019-06-24 Santi Prestipino , Paolo V. Giaquinta

We consider two regimes where a trapped Bose gas behaves as a one-dimensional system. In the first one the Bose gas is microscopically described by 3D mean field theory, but the trap is so elongated that it behaves as a 1D gas with respect…

Soft Condensed Matter · Physics 2009-11-10 J. N. Fuchs , X. Leyronas , R. Combescot

Arbitrarily large ground state population is a general property of any ideal bose gas when conditions of degeneracy are satisfied; it occurs at any dimension D. For $D = 1$, the condensation is diffuse, at $D = 2$ it is a sort of…

Condensed Matter · Physics 2015-06-25 H. Perez Rojas

We study a one-dimensional disordered Bose fluid using bosonization, the replica method and a nonperturbative functional renormalization-group approach. The Bose-glass phase is described by a fully attractive strong-disorder fixed point…

Quantum Gases · Physics 2020-01-17 Nicolas Dupuis

We consider the condensate of $q$-deformed bosons as a model of dark matter. Our observations demonstrate that for all $q$ values, the system condenses below a $q$-dependent critical temperature $T^{q}_c$. The critical temperature…

General Relativity and Quantum Cosmology · Physics 2020-08-06 Mahnaz Maleki , Hosein Mohammadzadeh , Zahra Ebadi , Morteza Nattagh Najafi

We discuss a system of dilute Bose gas confined in a layered structure of stacked square lattices (slab geometry). A derived phase diagram reveals a non-monotonic dependence of the ratio of tunneling to on-site repulsion on the artificial…

Quantum Gases · Physics 2011-02-17 T. A. Zaleski , T. P. Polak

In systems above one dimension a continuously degenerate minimum of the single particle dispersion is realized due to one or a combination of system-parameters such as lattice structure, isotropic spin-orbit coupling, and interactions. A…

Quantum Gases · Physics 2019-08-06 Shouvik Sur , Kun Yang

We theoretically investigate a weakly-interacting degenerate Bose gas coupled to an empty Markovian bath. We show that in the universal phononic limit the system evolves towards an asymptotic state where an emergent temperature is set by…

Quantum Gases · Physics 2016-03-22 Pjotrs Grišins , Bernhard Rauer , Tim Langen , Jörg Schmiedmayer , Igor E. Mazets