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We examine an effectively repulsive Bose-Einstein condensate of atoms that rotates in a quadratic-plus-quartic potential. With use of a variational method we identify the three possible phases of the system (multiple quantization, single…

Condensed Matter · Physics 2009-11-10 A. D. Jackson , G. M. Kavoulakis , E. Lundh

We study the phase separation configurations and their rotational properties for a mixture of two interacting charged Bose-Einstein condensates subject to a magnetic field trapped in disc and Corbino geometries. We calculate the ground…

Quantum Gases · Physics 2021-03-11 S. Seyyare Aksu , A. Levent Subaşı , Nader Ghazanfari

We study analytically and asymptotically as well as numerically ground states and dynamics of two-component spin-orbit-coupled Bose-Einstein condensates (BECs) modeled by the coupled Gross-Pitaevskii equations (CGPEs). In fact, due to the…

Mathematical Physics · Physics 2015-04-14 Weizhu Bao , Yongyong Cai

Bose-Einstein condensation in the presence of a synthetic spin-momentum interaction is considered, focusing on the case where a Dirac or Rashba potential is generated via a tripod scheme. We found that the ground states can be either plane…

Quantum Gases · Physics 2015-05-19 S. -K. Yip

We have begun a series of experiments on mixed bosonic quantum fluids. Our system is mixed Bose-Einstein condensates in dilute Rb-87. By simultaneously trapping the atoms in two different hyperfine states, we are able to study the dynamics…

Condensed Matter · Physics 2007-05-23 E. A. Cornell , D. S. Hall , M. R. Matthews , C. E. Wieman

We study the effects of a repulsive three-body interaction on a system of trapped ultra-cold atoms in Bose-Einstein condensed state. The stationary solutions of the corresponding $s-$wave non-linear Schr\"{o}dinger equation suggest a…

Soft Condensed Matter · Physics 2009-10-31 A. Gammal , T. Frederico , Lauro Tomio , Ph. Chomaz

We study the recently introduced self-pinning transition [Phys. Rev. Lett. 128, 053401 (2022)] in a quasi-one-dimensional two-component quantum gas in the case where the component immersed into the Bose-Einstein condensate has a finite…

Quantum Gases · Physics 2023-09-13 Tim Keller , Thomás Fogarty , Thomas Busch

An analytical insight into the symmetry breaking mechanisms underlying the transition from Josephson to self-trapping regimes in Bose-Einstein condensates is presented. We obtain expressions for the ground state properties of the system of…

Quantum Gases · Physics 2010-06-21 B. Julia-Diaz , J. Martorell , A. Polls

We measure the frequency of the low m=0 quadrupolar excitation mode of weakly interacting Bose-Einstein condensates in the transition region from the 3D to the 1D mean-field regime. Various effects shifting the frequency of the mode are…

Other Condensed Matter · Physics 2009-11-11 M. Kottke , T. Schulte , L. Cacciapuoti , D. Hellweg , S. Drenkelforth , W. Ertmer , J. J. Arlt

Magnetic insulators can be characterized by a gap separating the singlet ground state from the lowest energy triplet, S=1 excitation. If the gap can be closed by the Zeeman interaction in applied magnetic field, the resulting S=1…

Quantum Gases · Physics 2015-05-27 A. Rakhimov , S. Mardonov , E. Ya. Sherman

Motivated by the experiment of two-component Bose-Einstein condensates produced in magnetically trapped $^{87}Rb$, we study one dimensional Boson systems with repulsive $\delta$-function interaction in the presence of SU(2) intrinsic degree…

Strongly Correlated Electrons · Physics 2015-06-24 You-Quan Li , Shi-Jian Gu , Zu-Jian Ying , Ulrich Eckern

We study numerically the time-independent vector Gross-Pitaevskii equations (VGPEs) for ground states and time-dependent VGPEs with (or without) an external driven field for dynamics describing a multi-component Bose-Einstein condensate…

Condensed Matter · Physics 2017-01-10 Weizhu Bao

We investigate the thermodynamics of a spin-1 Bose gas with fixed magnetization including the quadratic Zeeman energy shift. Our calculations are based on the grand canonical description for the ideal gas and the classical fields…

Quantum Gases · Physics 2015-05-20 Guillaume Lang , Emilia Witkowska

We investigate the structure of vortex states in rotating two-component Bose-Einstein condensates with equal intracomponent but varying intercomponent coupling constants. A phase diagram in the intercomponent-coupling versus…

Condensed Matter · Physics 2009-11-10 Kenichi Kasamatsu , Makoto Tsubota , Masahito Ueda

A binary mixtures of Bose-Einstein condensate structures exhibit an incredible richness in terms of holding different kinds of phases. Depending on the ratio of the inter- and intra-atomic interactions, the transition from mixed to…

Quantum Gases · Physics 2020-04-22 Mehmet Günay

The computation of the ground states of spin-$F$ Bose-Einstein condensates (BECs) can be formulated as an energy minimization problem with two quadratic constraints. We discretize the energy functional and constraints using the Fourier…

Numerical Analysis · Mathematics 2019-07-03 Tonghua Tian , Yongyong Cai , Xinming Wu , Zaiwen Wen

The transition between the N\'{e}el antiferromagnet and the valence-bond solid state in two dimensions has become a paradigmatic example of deconfined quantum criticality, a non-Landau transition characterized by fractionalized excitations…

Strongly Correlated Electrons · Physics 2020-03-13 Adam Iaizzi , Harley D Scammell , Oleg P Sushkov , Anders W Sandvik

Repulsive Bose-Einstein condensates immersed into a double-well trap potential are studied within the framework of the recently introduced mean-field approach which allows for bosons to reside in several different orthonormal orbitals. In…

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

We study the zero-temperature phase diagram of a spin-orbit-coupled Bose-Einstein condensate of spin $1$, with equally weighted Rashba and Dresselhaus couplings. Depending on the antiferromagnetic or ferromagnetic nature of the…

We find nearly all the exact ground states of a mixture of two species of spin-1 atoms with both interspecies and intraspecies spin exchanges in absence of a magnetic field. The quantum phase diagram in the three-dimensional parameter space…

Quantum Gases · Physics 2011-03-08 Yu Shi , Li Ge