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We consider a mixture of a Bose-Einstein condensate, with a paired Fermi superfluid, confined in a ring potential. We start with the ground state of the two clouds, identifying the boundary between the regimes of their phase separation and…

Quantum Gases · Physics 2020-08-05 M. Ögren , G. M. Kavoulakis

We investigate a few-body mixture of two bosonic components, each consisting of two particles confined in a quasi one-dimensional harmonic trap. By means of exact diagonalization with a correlated basis approach we obtain the low-energy…

Quantum Gases · Physics 2018-01-12 Maxim Pyzh , Sven Krönke , Christof Weitenberg , Peter Schmelcher

When a Bose-Einstein condensate is divided into two parts, that are subsequently released and overlap, interference fringes are observed. We show here that this interference is typical, in the sense that most wave functions of the…

Quantum Physics · Physics 2014-07-11 P. Facchi , H. Nakazato , S. Pascazio , F. V. Pepe , K. Yuasa

In this review, we give an interdisciplinary overview of Bose-Einstein condensation phenomena in photonic systems. We cover a wide range of systems, from lasers to photon condensates in dye-filled cavities, to excitons in semiconductor…

Optics · Physics 2023-10-13 Jacqueline Bloch , Iacopo Carusotto , Michiel Wouters

We investigate experimentally a Bose Einstein condensate placed in a 1D optical lattice whose phase or amplitude is modulated in a frequency range resonant with the first bands of the band structure. We study the combined effect of the…

Quantum Gases · Physics 2019-09-04 C. Cabrera-Gutiérrez , E. Michon , M. Arnal , V. Brunaud , T. Kawalec , J. Billy , D. Guéry-Odelin

We study a solvable model of two types hard core Bose particles. A complete analysis is given of its equilibrium states including the proof of existence of Bose-Einstein condensation. The plasmon frequencies and the quantum normal modes…

Mathematical Physics · Physics 2015-06-26 Joris Lauwers , Andre Verbeure

A novel interaction mechanism in MOSFET structures and $GaAs/AlGaAs$ hetero-junctions between the zone electrons of the two-dimensional (2D) gas and the charged traps on the insulator side is considered. By applying a canonical…

Strongly Correlated Electrons · Physics 2009-11-07 E. P. Nakhmedov , K. Morawetz

We consider a novel system of two-component atomic Bose-Einstein condensate in a double-well potential. Based on the well-known two-mode approximation, we demonstrate that there are obvious avoided level-crossings when both interspecies and…

Other Condensed Matter · Physics 2009-11-11 Weibin Li , Wenxing Yang , Xiaotao Xie , Jiahua Li , Xiaoxue Yang

Heteroclinic connections between two distinct hyperbolic periodic orbits in conservative systems are important in a wide range of applications. On the other hand, it is theoretically challenging to find large amplitude connections from…

Dynamical Systems · Mathematics 2026-02-06 Thomas J. Bridges , David J. B. Lloyd , Daniel J. Ratliff , Patrick Sprenger

We calculate certain features of Bose-Einstein condensation in the ideal gas by using recurrence relations for the partition function. The grand canonical ensemble gives inaccurate results for certain properties of the condensate that are…

Statistical Mechanics · Physics 2016-08-16 W. J. Mullin , J. P. Fernández

We employ ultracold atoms with controllable disorder and interaction to study the paradigmatic problem of disordered bosons in the full disorder-interaction plane. Combining measurements of coherence, transport and excitation spectra, we…

Many-body properties of a fermionic impurity embedded in a Bose-Einstein condensate are analyzed analytically using a solvable model, the harmonic-interaction model for Bose-Fermi mixtures. The one-particle and two-particle densities,…

Quantum Gases · Physics 2024-12-03 Ofir E. Alon , Lorenz S. Cederbaum

We study the homogenization problem for a system of stochastic differential equation with local time terms that models a multivariate diffusion in presence of semipermeable hyperplane interfaces with oblique penetration. We show that this…

Probability · Mathematics 2024-02-05 Olga Aryasova , Ilya Pavlyukevich , Andrey Pilipenko

We analyze the quench dynamics of a one-dimensional bosonic Mott insulator and focus on the time evolution of density correlations. For these we identify a pronounced propagation front, the velocity of which, once correctly extrapolated at…

Quantum Gases · Physics 2012-05-22 Peter Barmettler , Dario Poletti , Marc Cheneau , Corinna Kollath

We formulate a method to study two-body correlations in a system of N identical bosons interacting via central two-body potentials. We use the adiabatic hyperspherical approach and assume a Faddeev-like decomposition of the wave function.…

Condensed Matter · Physics 2009-11-07 O. Sørensen , D. V. Fedorov , A. S. Jensen

We investigate the effects of spatial curvature for an atomic Bose-Einstein condensate confined in an elliptical waveguide. The system is well described by an effective 1D Gross-Pitaevskii equation with a quantum-curvature potential, which…

Quantum Gases · Physics 2022-03-23 L. Salasnich

The dynamical population oscillations between two internal states of a Bose-Einstein condensate are investigated within the rotating wave approximation. Analytical expressions for the population imbalance in the number states and coherent…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Ping Zhang , C. K. Chan , Xiang-Gui Li , Xian-Geng Zhao

We have studied the elementary excitations in a two-component Bose-Einstein condensate. We concentrate on the breathing modes and find the elementary excitations to possess avoided crossings and regions of coalescing oscillations where both…

Soft Condensed Matter · Physics 2015-06-25 P. Ohberg , S. Stenholm

We analyze the physics of Bose-Einstein condensates confined in 2D quasi-periodic optical lattices, which offer an intermediate situation between ordered and disordered systems. First, we analyze the time-of-flight interference pattern that…

Other Condensed Matter · Physics 2016-08-16 Laurent Sanchez-Palencia , Luis Santos

We consider a Bose-Einstein condensate with repulsive interactions confined in a 1D ring where a Dirac delta is rotating at constant speed. The spectrum of stationary solutions in the delta comoving frame is analyzed in terms of the…

Quantum Gases · Physics 2020-02-26 Axel Pérez-Obiol , Taksu Cheon
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