Vortex localization in rotating clouds of bosons and fermions

Reimann, S. M.; Koskinen, M.; Yu, Yongle; Manninen, M.

doi:10.1103/physreva.74.043603

Cited by 21 publications

(17 citation statements)

References 74 publications

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“…The properties of rotating many-body systems have been the topic of intense study, theoretical as well as experimental [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]. In particular, Bose-Einstein condensates have been of great interest since the advent of the laser-cooling technique [21].…”

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confidence: 99%

Universality of many-body states in rotating Bose and Fermi systems

et al. 2008

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We propose a universal transformation from a many-boson state to a corresponding many-fermion state in the lowest-Landau-level approximation of rotating many-body systems, inspired by the Laughlin wave function and by the Jain composite-fermion construction. We employ the exact-diagonalization technique for finding the many-body states. The overlap between the transformed boson ground state and the true fermion ground state is calculated in order to measure the quality of the transformation. For very small and high angular momenta, the overlap is typically above 90%. For intermediate angular momenta, mixing between states complicates the picture and leads to small ground-state overlaps at some angular momenta.

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confidence: 99%

Universality of many-body states in rotating Bose and Fermi systems

et al. 2008

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“…While at moderate angular momentum, if the particle number N is much larger than the number of vortices, the localization happens in vortices. The localization of particles (vortices) can be studied by particle (hole) pair correlation function and can be reflected by the regular oscillation of quantum many-body energy spectrum with L [15,16]. As we show below, the single-particle entanglement of |Φ L also oscillates with L and can reflect particle and vortex localization very well.…”

Section: Single-particle Entanglementmentioning

confidence: 93%

“…1. For N = 6, a series of local maxima of ln L − S 1 appear: L=6,10, 12,15,18,20,25,30,36,40,42,45,48,50,55,60,65,70,75 etc. The angular momentum of the real ground state is L g =6,10,12,15,20,24,30,36,40,45,50,55,60,65,70,75 etc.…”

Section: Single-particle Entanglementmentioning

confidence: 99%

“…Many excellent experimental and theoretical papers focus on the formation and melt of vortex lattice [5], many-body energy spectrum [6,7], its analogy to quantum Hall effect of electrons in a magnetic field [8][9][10][11][12][13], particle localization and vortex localization [14][15][16][17], the comparison between the results of exact quantum numerical solution and mean-field theory [18] and so on. However, the entanglement in this system has not been investigated as extensively as in other condensed matter systems, for example in spin chain systems.…”

Section: Introductionmentioning

confidence: 99%

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Particle entanglement in rotating gases

Liu

Fan

2010

Phys. Rev. A

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In this paper, we investigate the particle entanglement in 2D weakly-interacting rotating Bose and Fermi gases. We find that both particle localization and vortex localization can be indicated by particle entanglement. We also use particle entanglement to show the occurrence of edge reconstruction of rotating fermions. The different properties of condensate phase and vortex liquid phase of bosons can be reflected by particle entanglement and in vortex liquid phase we construct the same trial wave function with that in [Phys. Rev. Lett. 87, 120405 (2001)] from the viewpoint of entanglement to relate the ground state with quantum Hall state. Finally, the relation between particle entanglement and interaction strength is studied.

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“…[20][21][22][23][24][25], and beyond the mean-field approximation as in Refs. [17,22,[26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44].…”

Section: Introductionmentioning

confidence: 99%

Rotating Bose-Einstein condensates: Closing the gap between exact and mean-field solutions

et al. 2015

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When a Bose-Einstein condensed cloud of atoms is given some angular momentum, it forms vortices arranged in structures with a discrete rotational symmetry. For these vortex states, the Hilbert space of the exact solution separates into a "primary" space related to the mean-field GrossPitaevskii solution and a "complementary" space including the corrections beyond mean-field. Considering a weakly-interacting Bose-Einstein condensate of harmonically-trapped atoms, we demonstrate how this separation can be used to close the conceptual gap between exact solutions for systems with only a few atoms and the thermodynamic limit for which the mean-field is the correct leading-order approximation. Although we illustrate this approach for the case of weak interactions, it is expected to be more generally valid.

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Vortex localization in rotating clouds of bosons and fermions

Cited by 21 publications

References 74 publications

Universality of many-body states in rotating Bose and Fermi systems

Universality of many-body states in rotating Bose and Fermi systems

Particle entanglement in rotating gases

Rotating Bose-Einstein condensates: Closing the gap between exact and mean-field solutions

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