Simulating strongly correlated multiparticle systems in a truncated Hilbert space

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 84, Issue 2, 2011, Pages

  Ernst, Thomas ^a   Hallwood, David W ^a   Gulliksen, Jake ^a   Meyer, Hans Dieter ^b   Brand, Joachim ^a  

^a MASSEY UNIVERSITY   (New Zealand)

^b UNIVERSITY OF HEIDELBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BASIS SETS; CONTACT INTERACTION; CORRELATION FUNCTION; DENSITY PROFILE; ENERGY SPECTRA; EXACT RESULTS; EXCITATION SPECTRUM; EXTERNAL POTENTIAL; FINITE PRODUCTS; GROUND-STATE ENERGIES; LONG WAVELENGTH; MULTI-PARTICLE SYSTEMS; NUMERICAL CALCULATION; ONE-DIMENSIONAL SYSTEMS; RESCALING; TRUNCATION ERRORS; TWO-PARTICLE SYSTEMS; ULTRACOLD ATOMS;

EXCITED STATES; IMAGE QUALITY; SPECTROSCOPY; WAVE FUNCTIONS;

HILBERT SPACES;

EID: 84860389464     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.84.023623     Document Type: Article

References (35)

1. M. Greiner, O. Mandel, T. Esslinger, T. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/415039a 415, 39 (2002). (Pubitemid 34062442)
2. C. Chin, R. Grimm, P. Julienne, and E. Tiesinga, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.82.1225 82, 1225 (2010).
3. T. Grünzweig, A. Hilliard, M. McGovern, and M. F. Andersen, Nat. Phys. RMPHAT 1745-2473 10.1038/nphys1778 6, 951 (2010).
4. D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3108 81, 3108 (1998).
5. F. Deuretzbacher, K. Bongs, K. Sengstock, and D. Pfannkuche, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.013614 75, 013614 (2007). (Pubitemid 46130299)
6. R. Kanamoto, H. Saito, and M. Ueda, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.090404 94, 090404 (2005). (Pubitemid 40620588)
7. D. W. Hallwood, T. Ernst, and J. Brand, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.063623 82, 063623 (2010).
8. G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.147902 91, 147902 (2003).
9. S. R. White and A. E. Feiguin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.076401 93, 076401 (2004).
10. A. J. Daley, C. Kollath, U. Schollwöck, and G. Vidal, J. Stat. Mech. PRLTAO 1742-5468 10.1088/1742-5468/2004/04/P04005 (2004) P04005.
11. H. Meyer, U. Manthe, and L. Cederbaum, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/0009-2614(90)87014-I 165, 73 (1990).
12. M. H. Beck, A. Jäckle, G. A. Worth, and H.-D. Meyer, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(99)00047-2 324, 1 (2000).
13. H. Meyer, F. Gatti, and G. Worth, Multidimensional Quantum Dynamics: MCTDH Theory and Applications (Wiley-VCH, Weinheim, 2009).
14. S. Zöllner, H.-D. Meyer, and P. Schmelcher, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.053612 74, 053612 (2006). (Pubitemid 44759839)
15. S. Zöllner, H.-D. Meyer, and P. Schmelcher, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.013621 78, 013621 (2008).
16. S. Zöllner, H.-D. Meyer, and P. Schmelcher, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.013629 78, 013629 (2008).
17. M. Girardeau, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1703687 1, 516 (1960).
18. E. Lieb and W. Liniger, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.130. 1605 130, 1605 (1963).
19. X. Yin, Y. Hao, S. Chen, and Y. Zhang, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.013604 78, 013604 (2008).
20. Y. J. Hao, and S. Chen, Eur. Phys. J. D EPJDF6 1434-6060 10.1140/epjd/e2008-00266-0 51, 261 (2009).
21. S. Zöllner, H.-D. Meyer, and P. Schmelcher, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.063611 74, 063611 (2006). (Pubitemid 44893946)
22. K. Suzuki and S. Lee, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.64.2091 64, 2091 (1980).
23. I. Stetcu, B. R. Barrett, U. van Kolck, and J. P. Vary, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.063613 76, 063613 (2007). (Pubitemid 350276562)
24. Y. Alhassid, G. F. Bertsch, and L. Fang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.230401 100, 230401 (2008).
25. J. Christensson, C. Forssén, S. Åberg, and S. M. Reimann, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.012707 79, 012707 (2009).
26. M. Albiez, R. Gati, J. Fölling, S. Hunsmann, M. Cristiani, and M. K. Oberthaler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.010402 95, 10402 (2005). (Pubitemid 41506409)
27. L. Carr, D. Dounas-Frazer, and M. Garcia-March, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/90/10005 90, 10005 (2010).
28. G. K. Brennen, C. M. Caves, P. S. Jessen, and I. H. Deutsch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.1060 82, 1060 (1999).
29. D. B. Tretyakov, I. I. Beterov, V. M. Entin, and I. I. Ryabtsev, Russ. Microelectron. RUICE5 1063-7397 10.1134/S1063739706020028 35, 74 (2006).
30. T. Busch, B.-G. Englert, K. Rzaewski, and M. Wilkens, Found. Phys. FNDPA4 0015-9018 10.1023/A:1018705520999 28, 549 (1998).
31. M. Olshanii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.938 81, 938 (1998).
32. Y. Castin, J. Phys. IV (France) JPICEI 1155-4339 10.1051/jp4:2004116004 116, 89 (2004).
33. R. Kosloff and H. Tal-Ezer, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/0009-2614(86)80262-7 127, 223 (1986).
34. H.-D. Meyer, F. Le Quéré, C. Léonard, and F. Gatti, Chem. Phys. CMPHC2 0301-0104 10.1016/j.chemphys.2006.06.002 329, 179 (2006).
35. L. J. Doriol, F. Gatti, C. Iung, and H.-D. Meyer, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.3020716 129, 224109 (2008)