BOSE-EINSTEIN CONDENSATION

[1]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[2]  E. Gross Structure of a quantized vortex in boson systems , 1961 .

[3]  Gene H. Golub,et al.  Matrix computations , 1983 .

[4]  Edwards,et al.  Numerical solution of the nonlinear Schrödinger equation for small samples of trapped neutral atoms. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[5]  W. Ketterle,et al.  Bose-Einstein condensation , 1997 .

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

[7]  Holland,et al.  Time-dependent solution of the nonlinear Schrödinger equation for Bose-condensed trapped neutral atoms. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[8]  Pethick,et al.  Ground-state properties of magnetically trapped Bose-condensed rubidium gas. , 1996, Physical review letters.

[9]  R. J. Dodd,et al.  Approximate Solutions of the Nonlinear Schrödinger Equation for Ground and Excited States of Bose-Einstein Condensates , 1996, Journal of research of the National Institute of Standards and Technology.

[10]  K. B. Davis,et al.  Bose-Einstein Condensation in a Gas of Sodium Atoms , 1995, EQEC'96. 1996 European Quantum Electronic Conference.

[11]  Clark,et al.  Collective Excitations of Atomic Bose-Einstein Condensates. , 1996, Physical review letters.

[12]  Daniel S. Rokhsar,et al.  Vortex Stability and Persistent Currents in Trapped Bose Gases , 1997 .

[13]  C. Gardiner,et al.  Cold Bosonic Atoms in Optical Lattices , 1998, cond-mat/9805329.

[14]  Tin-Lun Ho Spinor Bose Condensates in Optical Traps , 1998 .

[15]  A Gammal,et al.  Improved numerical approach for the time-independent Gross-Pitaevskii nonlinear Schrödinger equation. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[16]  B. I. Schnieder,et al.  Numerical approach to the ground and excited states of a Bose-Einstein condensed gas confined in a completely anisotropic trap , 1999 .

[17]  Succi,et al.  Numerical solution of the gross-pitaevskii equation using an explicit finite-difference scheme: An application to trapped bose-einstein condensates , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[18]  Elliott H. Lieb,et al.  Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional , 1999, math-ph/9908027.

[19]  S. Adhikari Numerical solution of the two-dimensional Gross-Pitaevskii equation for trapped interacting atoms , 2000, cond-mat/0001361.

[20]  Succi,et al.  Ground state of trapped interacting bose-einstein condensates by an explicit imaginary-time algorithm , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[21]  Qiang Du,et al.  Vortices in a rotating Bose-Einstein condensate: Critical angular velocities and energy diagrams in the Thomas-Fermi regime , 2001 .

[22]  Immanuel Bloch,et al.  Quantum Phase Transition from a Superfluid to a Mott Insulator in a Gas of Ultracold Atoms. , 2002 .

[23]  P. Markowich,et al.  Numerical solution of the Gross--Pitaevskii equation for Bose--Einstein condensation , 2003, cond-mat/0303239.

[24]  Weizhu Bao,et al.  Ground-state solution of Bose--Einstein condensate by directly minimizing the energy functional , 2003 .

[25]  Aihui Zhou An analysis of finite-dimensional approximations for the ground state solution of Bose?Einstein condensates , 2004 .

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

[27]  Weizhu Bao Ground States and Dynamics of Multicomponent Bose-Einstein Condensates , 2004, Multiscale Model. Simul..

[28]  Shu-Ming Chang,et al.  Segregated nodal domains of two-dimensional multispecies Bose-Einstein condensates , 2004 .

[29]  Shu-Ming Chang,et al.  Gauss-Seidel-type methods for energy states of a multi-component Bose-Einstein condensate , 2005 .

[30]  J. von Delft,et al.  One-dimensional density waves of ultracold bosons in an optical lattice (9 pages) , 2005 .

[31]  F. Dalfovo,et al.  Stability diagram and growth rate of parametric resonances in Bose-Einstein condensates in one-dimensional optical lattices , 2005 .

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

[33]  Yanzhi Zhang,et al.  ENERGY AND CHEMICAL POTENTIAL ASYMPTOTICS FOR THE GROUND STATE OF BOSE-EINSTEIN CONDENSATES IN THE SEMICLASSICAL REGIME , 2007 .