Dynamic structure factor of the one-dimensional Bose gas near the Tonks-Girardeau limit

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 72, Issue 3, 2005, Pages

  Brand, Joachim ^a   Cherny, Alexander Yu ^a,b  

^a MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^b JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

BOSE GAS; DYNAMIC STRUCTURE FACTOR; RANDOM-PHASE APPROXIMATIONS; TONKS-GAS LIMIT;

APPROXIMATION THEORY; ELECTRIC EXCITATION; ELEMENTARY PARTICLE SOURCES; FERMIONS; MOLECULAR STRUCTURE; SCATTERING;

QUANTUM THEORY;

EID: 28844437764     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.72.033619     Document Type: Article

References (32)

1. E. H. Lieb and W. Liniger, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.130.1605 130, 1605 (1963).
2. E. H. Lieb, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.130.1616 130, 1616 (1963).
3. M. D. Girardeau, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1703687 1, 516 (1960).
4. The 1D coupling constant is related to the scattering length a3D and the transverse confinement frequency ωρ by gB=2ωρa3[1- Ca3Dmωρ(2)], where C1.4603. M. Olshanii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.938 81, 938 (1998);
5. A. Yu. Cherny and J. Brand, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.043622 70, 043622 (2004).
6. L. Pitaevskii and S. Stringari, Bose-Einstein Condensation (Clarendon, Oxford, 2003).
7. Y. Kagan, N. V. Prokof'ev, and B. V. Svistunov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.045601 61, 045601 (2000).
8. H. P. Büchler, V. B. Geshkenbein, and G. Blatter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.100403 87, 100403 (2001).
9. E. B. Sonin, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 59 1416 (1970)
10. E. B. Sonin, [Sov. Phys. JETP SPHJAR 0038-5646 32, 773 (1971)].
11. A. H. Castro Neto, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.50. 14032 50, 14032 (1994).
12. G. E. Astrakharchik and L. P. Pitaevskii, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.013608 70, 013608 (2004).
13. K. Bongs, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.031602 63, 031602 (R) (2001);
14. A. Görlitz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 87.130402 87, 130402 (2001);
15. B. L. Tolra, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92. 190401 92, 190401 (2004);
16. H. Moritz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91. 250402 91, 250402 (2003).
17. T. Kinoshita, T. Wenger, and D. S. Weiss, Science SCIEAS 0036-8075 10.1126/science.1100700 305, 1125 (2004).
18. B. Paredes, Nature (London) NATUAS 0028-0836 10.1038/nature02530 429, 277 (2004).
19. T. Stöferle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 92.130403 92, 130403 (2004).
20. V. E. Korepin, N. M. Bogoliubov, and A. G. Izergin, Quantum Inverse Scattering Method and Correlation Functions (Cambridge University Press, Cambridge, U.K., 1993).
21. D. M. Gangardt and G. V. Shlyapnikov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.010401 90, 010401 (2003).
22. M. Olshanii and V. Dunjko, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.090401 91, 090401 (2003).
23. T. Cheon and T. Shigehara, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.2536 82, 2536 (1999).
24. D. Pines and P. Nozières, The Theory of Quantum Liquids (Addison-Wesley, Redwood City, CA, 1989).
25. D. Sen, Int. J. Mod. Phys. A IMPAEF 0217-751X 10.1142/S0217751X99000919 14, 1789 (1999);
26. D. Sen, J. Phys. A JPHAC5 0305-4470 36, 7517 (2003).
27. M. D. Girardeau and M. Olshanii, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.023608 70, 023608 (2004).
28. A. Yu. Cherny and J. Brand, e-print cond-mat/0507086.
29. J. Brand and L. S. Cederbaum, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.4311 57, 4311 (1998).
30. R. Roth and K. Burnett, J. Phys. B JPAPEH 0953-4075 37, 3893 (2004).
31. D. J. Thouless, Nucl. Phys. NUPHA7 0029-5582 10.1016/0029-5582(61)90364-9 22, 78 (1961).
32. J. Brand, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/37/7/073 37, S287 (2004).