Revealing excited states of rotational Bose–Einstein condensates

[1]  Pingwen Zhang,et al.  Discretization and index-robust error analysis for constrained high-index saddle dynamics on the high-dimensional sphere , 2022, Science China Mathematics.

[2]  T. Bourdel,et al.  Tunable Three-Body Interactions in Driven Two-Component Bose-Einstein Condensates. , 2021, Physical review letters.

[3]  Lei Zhang,et al.  Nematic Liquid Crystals in a Rectangular Confinement: Solution Landscape, and Bifurcation , 2021, SIAM J. Appl. Math..

[4]  Yucheng Hu,et al.  Solution landscapes of the simplified Ericksen–Leslie model and its comparisonwith the reduced Landau–deGennes model , 2021, Proceedings of the Royal Society A.

[5]  Lei Zhang,et al.  Solution landscape of the onsager model identifies non-axisymmetric critical points , 2021, Physica D: Nonlinear Phenomena.

[6]  Wei Wang,et al.  Modelling and computation of liquid crystals , 2021, Acta Numerica.

[7]  Y. Nishiura,et al.  Solution landscapes of the diblock copolymer-homopolymer model under two-dimensional confinement. , 2021, Physical review. E.

[8]  Zhen Huang,et al.  Constrained High-Index Saddle Dynamics for the Solution Landscape with Equality Constraints , 2020, J. Sci. Comput..

[9]  Y. A. Aoto,et al.  Calculating the distance from an electronic wave function to the manifold of Slater determinants through the geometry of Grassmannians , 2020, 2012.05283.

[10]  H. Takeuchi.  Quantum Elliptic Vortex in a Nematic-Spin Bose-Einstein Condensate. , 2020, Physical review letters.

[11]  Pingwen Zhang,et al.  Transition pathways connecting crystals and quasicrystals , 2020, Proceedings of the National Academy of Sciences.

[12]  Lei Zhang,et al.  Searching the solution landscape by generalized high-index saddle dynamics , 2020, Science China Mathematics.

[13]  M. Nitta,et al.  Vortex patterns of atomic Bose-Einstein condensates in a density-dependent gauge potential , 2020, 2002.09189.

[14]  Yongyong Cai,et al.  Numerical methods for Bogoliubov-de Gennes excitations of Bose-Einstein condensates , 2020, J. Comput. Phys..

[15]  Masahito Ueda,et al.  Magnetic Solitons in a Spin-1 Bose-Einstein Condensate. , 2019, Physical review letters.

[16]  A. Maiani,et al.  Vortex nucleation barrier in superconductors beyond the Bean-Livingston approximation: A numerical approach for the sphaleron problem in a gauge theory , 2019, Physical Review B.

[17]  Pingwen Zhang,et al.  Construction of a Pathway Map on a Complicated Energy Landscape. , 2019, Physical review letters.

[18]  W. Bao,et al.  Vortex patterns and the critical rotational frequency in rotating dipolar Bose-Einstein condensates , 2018, Physical Review A.

[19]  P. E. Farrell,et al.  Computing stationary solutions of the two-dimensional Gross-Pitaevskii equation with deflated continuation , 2016, Commun. Nonlinear Sci. Numer. Simul..

[20]  D. Campbell,et al.  Vortex nucleation in a Bose–Einstein condensate: from the inside out , 2016, 1605.03067.

[21]  J. M. Zhang,et al.  Optimal Slater-determinant approximation of fermionic wave functions , 2015, 1510.05634.

[22]  K. Law,et al.  Dynamic and energetic stabilization of persistent currents in Bose-Einstein condensates , 2014, 1402.6007.

[23]  J. M. Zhang,et al.  Optimal multiconfiguration approximation of an N -fermion wave function , 2013, 1309.1848.

[24]  P. Kevrekidis,et al.  Stable vortex-bright-soliton structures in two-component Bose-Einstein condensates. , 2010, Physical review letters.

[25]  Masahito Ueda,et al.  Spinor Bose-Einstein condensates , 2010, Quantum Atom Optics.

[26]  Brian P. Anderson,et al.  Spontaneous vortices in the formation of Bose–Einstein condensates , 2008, Nature.

[27]  A. Fetter.  Rotating trapped Bose-Einstein condensates , 2008, 0801.2952.

[28]  I. Chern,et al.  Efficient and spectrally accurate numerical methods for computing ground and first excited states in Bose-Einstein condensates , 2006, J. Comput. Phys..

[29]  Xavier Blanc,et al.  Vortex Lattices in Rotating Bose-Einstein Condensates , 2006, SIAM J. Math. Anal..

[30]  B. Malomed,et al.  Vortex stability in nearly-two-dimensional Bose-Einstein condensates with attraction , 2006, cond-mat/0603793.

[31]  Weizhu Bao,et al.  Ground, Symmetric and Central Vortex States in Rotating Bose-Einstein Condensates , 2005 .

[32]  J. Dalibard,et al.  Vortex patterns in a fast rotating Bose-Einstein condensate (11 pages) , 2004, cond-mat/0410665.

[33]  P. Engels,et al.  Observation of Tkachenko oscillations in rapidly rotating Bose-Einstein condensates. , 2003, Physical review letters.

[34]  Qiang Du,et al.  Computing the Ground State Solution of Bose-Einstein Condensates by a Normalized Gradient Flow , 2003, SIAM J. Sci. Comput..

[35]  Masahito Ueda,et al.  Nonlinear dynamics of vortex lattice formation in a rotating Bose-Einstein condensate , 2002, cond-mat/0211394.

[36]  C. Wieman,et al.  Nobel Lecture: Bose-Einstein condensation in a dilute gas, the first 70 years and some recent experiments , 2002 .

[37]  W. Ketterle,et al.  Vortex nucleation in a stirred Bose-Einstein condensate. , 2001, Physical review letters.

[38]  A. Leggett,et al.  Bose-Einstein condensation in the alkali gases: Some fundamental concepts , 2001 .

[39]  W. Ketterle,et al.  Observation of Vortex Lattices in Bose-Einstein Condensates , 2001, Science.

[40]  Q. Du,et al.  Vortices in a rotating Bose-Einstein condensate: Critical angular velocities and energy diagrams in the Thomas-Fermi regime , 2001, cond-mat/0103299.

[41]  Andrew V. Knyazev,et al.  Toward the Optimal Preconditioned Eigensolver: Locally Optimal Block Preconditioned Conjugate Gradient Method , 2001, SIAM J. Sci. Comput..

[42]  J. Dalibard,et al.  Stationary states of a rotating Bose-Einstein condensate: routes to vortex nucleation. , 2001, Physical review letters.

[43]  Dalibard,et al.  Vortex formation in a stirred bose-einstein condensate , 1999, Physical review letters.

[44]  F. Peeters,et al.  Flux penetration and expulsion in thin superconducting disks , 1999, cond-mat/9908257.

[45]  C. E. Wieman,et al.  Vortices in a Bose Einstein condensate , 1999, QELS 2000.

[46]  R. Ballagh,et al.  Coherent Dynamics of Vortex Formation in Trapped Bose-Einstein Condensates , 1999, cond-mat/9902092.

[47]  D. Butts,et al.  Predicted signatures of rotating Bose–Einstein condensates , 1999, Nature.

[48]  F. Dalfovo,et al.  Theory of Bose-Einstein condensation in trapped gases , 1998, cond-mat/9806038.

[49]  K. B. Davis,et al.  Bose-Einstein condensation in a gas of sodium atoms. , 1995, Physical review letters.

[50]  C. Sackett,et al.  Evidence of Bose-Einstein Condensation in an Atomic Gas with Attractive Interactions. , 1995, Physical review letters.

[51]  C. Wieman,et al.  Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor , 1995, Science.

[52]  W. Bao,et al.  MATHEMATICAL THEORY AND NUMERICAL METHODS FOR , 2012 .

[53]  M. Tsubota,et al.  Quantised Vortices in Atomic Bose–Einsten Condensates , 2009 .

[54]  Levent Tunçel,et al.  Optimization algorithms on matrix manifolds , 2009, Math. Comput..

[55]  Roel Hospel,et al.  Morse Theory , 1999 .