Computing Ground State Solution of Bose-Einstein Condensates Trapped in One-Dimensional Harmonic Potential

For Bose-Einstein condensates trapped in a harmonic potential well, we present numerical results from solving the tlme-dependent nonlinear Schrolinger equation based on the Crank-Nicolson method. With this method we are able to find the ground state wave function and energy by evolving the trial ini...

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Published inCommunications in theoretical physics Vol. 46; no. 5; pp. 873 - 878
Main Author YUAN Qing-Xin DING Guo-Hui
Format Journal Article
LanguageEnglish
Published IOP Publishing 15.11.2006
Subjects
Crank-Nicolson法
玻色子-爱因斯坦冷凝物
非线性Schrodinger方程
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ISSN0253-6102
DOI10.1088/0253-6102/46/5/021

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Abstract For Bose-Einstein condensates trapped in a harmonic potential well, we present numerical results from solving the tlme-dependent nonlinear Schrolinger equation based on the Crank-Nicolson method. With this method we are able to find the ground state wave function and energy by evolving the trial initial wave function in real and imaginary time spaces, respectively. In real time space, the results are in agreement with [Phys. Rev. A 51 （1995） 4704], but the trial wave function is restricted in a very small range. On the contrary, in imaginary time space, the trial wave function can be chosen widely, moreover, the results are stable.
AbstractList For Bose-Einstein condensates trapped in a harmonic potential well, we present numerical results from solving the tlme-dependent nonlinear Schrolinger equation based on the Crank-Nicolson method. With this method we are able to find the ground state wave function and energy by evolving the trial initial wave function in real and imaginary time spaces, respectively. In real time space, the results are in agreement with [Phys. Rev. A 51 （1995） 4704], but the trial wave function is restricted in a very small range. On the contrary, in imaginary time space, the trial wave function can be chosen widely, moreover, the results are stable.
Author YUAN Qing-Xin DING Guo-Hui
AuthorAffiliation Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou 450015, China Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China
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Cites_doi 10.1103/PhysRevLett.88.020401
10.1103/PhysRevLett.79.3549
10.1103/PhysRevLett.87.140402
10.1088/0253-6102/39/1/49
10.1103/PhysRevA.51.4704
10.1103/PhysRevLett.77.5315
10.1103/PhysRevLett.83.5198
10.1038/nature747
10.1103/PhysRevLett.92.203201
10.1126/science.282.5394.1686
10.1103/PhysRevLett.87.210402
10.1103/PhysRevLett.78.582
10.1103/PhysRevA.60.R1779
10.1103/PhysRevLett.82.2022
10.1126/science.275.5300.637
10.1103/PhysRevLett.80.2972
10.1103/PhysRevA.53.4254
10.1126/science.1088876
10.1088/0253-6102/43/5/012
10.1103/PhysRevA.67.013605
10.1016/S0021-9991(03)00102-5
10.1103/PhysRevLett.83.2498
10.1103/PhysRevLett.92.230401
10.1137/S1064827503422956
10.1103/PhysRevLett.76.6
10.1088/0253-6102/43/5/011
10.1103/PhysRevA.51.1382
10.1103/PhysRevE.62.1382
10.1103/PhysRevLett.92.040403
10.1103/PhysRevLett.84.2294
10.1103/PhysRevLett.94.050402
10.1103/PhysRevLett.77.420
10.1103/PhysRevLett.86.4447
10.1007/BF02731494
10.1103/PhysRevE.62.7438
10.1038/415039a
10.1016/S0021-9991(03)00097-4
10.1103/PhysRevA.53.R1954
10.1103/PhysRevLett.83.284
10.1126/science.269.5221.198
10.1126/science.283.5408.1706
10.1103/PhysRevLett.77.1671
10.1103/PhysRevLett.79.2164
10.1126/science.1071021
10.1016/S0375-9601(99)00878-6
10.1103/PhysRevA.65.043609
10.1126/science.1060182
10.1103/PhysRevA.53.R1950
10.1103/PhysRevLett.78.1842
10.1103/PhysRevA.53.2477
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Notes Bose-Einstein condensates, nonlinear Schrodinger equation, Crank-Nicolson method
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References 44
46
47
48
49
50
52
10
11
12
13
14
15
16
17
W.H. Press (53) 1988
18
L.P. Pitaevskii (19) 1961; 40
1
2
3
4
5
6
7
8
9
21
G.P. Zheng (45) 2005; 43
22
23
24
25
26
27
28
29
L.P. Pitaevskii (20) 1961; 13
30
31
Q.X. Yuan (39) 2005; 43
32
33
34
35
36
37
38
G.X. Hu (51) 2003; 39
40
41
42
43
References_xml – ident: 9
  doi: 10.1103/PhysRevLett.88.020401
– ident: 41
  doi: 10.1103/PhysRevLett.79.3549
– ident: 46
  doi: 10.1103/PhysRevLett.87.140402
– volume: 39
  start-page: 49
  issn: 0253-6102
  year: 2003
  ident: 51
  publication-title: Commun. Theor. Phys. (Beijing, China)
  doi: 10.1088/0253-6102/39/1/49
– ident: 33
  doi: 10.1103/PhysRevA.51.4704
– ident: 50
  doi: 10.1103/PhysRevLett.77.5315
– ident: 14
  doi: 10.1103/PhysRevLett.83.5198
– ident: 15
  doi: 10.1038/nature747
– ident: 29
  doi: 10.1103/PhysRevLett.92.203201
– ident: 6
  doi: 10.1126/science.282.5394.1686
– ident: 12
  doi: 10.1103/PhysRevLett.87.210402
– ident: 3
  doi: 10.1103/PhysRevLett.78.582
– ident: 26
  doi: 10.1103/PhysRevA.60.R1779
– ident: 43
  doi: 10.1103/PhysRevLett.82.2022
– ident: 2
  doi: 10.1126/science.275.5300.637
– ident: 25
  doi: 10.1103/PhysRevLett.80.2972
– ident: 40
  doi: 10.1103/PhysRevA.53.4254
– ident: 28
  doi: 10.1126/science.1088876
– volume: 43
  start-page: 819
  issn: 0253-6102
  year: 2005
  ident: 45
  publication-title: Commun. Theor. Phys. (Beijing, China)
  doi: 10.1088/0253-6102/43/5/012
– ident: 30
  doi: 10.1103/PhysRevA.67.013605
– ident: 37
  doi: 10.1016/S0021-9991(03)00102-5
– ident: 11
  doi: 10.1103/PhysRevLett.83.2498
– ident: 17
  doi: 10.1103/PhysRevLett.92.230401
– ident: 38
  doi: 10.1137/S1064827503422956
– ident: 21
  doi: 10.1103/PhysRevLett.76.6
– volume: 43
  start-page: 814
  issn: 0253-6102
  year: 2005
  ident: 39
  publication-title: Commun. Theor. Phys. (Beijing, China)
  doi: 10.1088/0253-6102/43/5/011
– ident: 32
  doi: 10.1103/PhysRevA.51.1382
– ident: 52
  doi: 10.1103/PhysRevE.62.1382
– ident: 5
  doi: 10.1103/PhysRevLett.92.040403
– ident: 27
  doi: 10.1103/PhysRevLett.84.2294
– ident: 31
  doi: 10.1103/PhysRevLett.94.050402
– ident: 10
  doi: 10.1103/PhysRevLett.77.420
– ident: 44
  doi: 10.1103/PhysRevLett.86.4447
– ident: 18
  doi: 10.1007/BF02731494
– ident: 34
  doi: 10.1103/PhysRevE.62.7438
– ident: 4
  doi: 10.1038/415039a
– ident: 36
  doi: 10.1016/S0021-9991(03)00097-4
– volume: 13
  start-page: 451
  issn: 0038-5646
  year: 1961
  ident: 20
  publication-title: Sov. Phys. JETP
– ident: 49
  doi: 10.1103/PhysRevA.53.R1954
– ident: 8
  doi: 10.1103/PhysRevLett.83.284
– ident: 1
  doi: 10.1126/science.269.5221.198
– ident: 7
  doi: 10.1126/science.283.5408.1706
– ident: 22
  doi: 10.1103/PhysRevLett.77.1671
– ident: 24
  doi: 10.1103/PhysRevLett.79.2164
– ident: 16
  doi: 10.1126/science.1071021
– year: 1988
  ident: 53
  publication-title: Numerical Recipes in C
– volume: 40
  start-page: 646
  year: 1961
  ident: 19
  publication-title: Zh. Eksp. Teor. Fiz
– ident: 35
  doi: 10.1016/S0375-9601(99)00878-6
– ident: 42
  doi: 10.1103/PhysRevA.65.043609
– ident: 13
  doi: 10.1126/science.1060182
– ident: 48
  doi: 10.1103/PhysRevA.53.R1950
– ident: 23
  doi: 10.1103/PhysRevLett.78.1842
– ident: 47
  doi: 10.1103/PhysRevA.53.2477
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SubjectTerms Crank-Nicolson法
玻色子-爱因斯坦冷凝物
非线性Schrodinger方程
Title Computing Ground State Solution of Bose-Einstein Condensates Trapped in One-Dimensional Harmonic Potential
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