Frictionless decompression in minimum time of Bose-Einstein condensates in the Thomas-Fermi regime

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 86, Issue 6, 2012, Pages

  Stefanatos, Dionisis ^a,b   Li, Jr Shin ^a  

^a WASHINGTON UNIVERSITY IN ST LOUIS   (United States)

^b NONE   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

INTERFEROMETRY; INVERSE PROBLEMS; STATISTICAL MECHANICS;

ATOM INTERFEROMETRY; BOSE-EINSTEIN CONDENSATES; EXPANSION FACTORS; HARMONIC POTENTIAL; INVERSE ENGINEERING; ONE-DIMENSIONAL BOSE-EINSTEIN CONDENSATES; THOMAS-FERMI REGIMES; TIME OPTIMAL CONTROL;

BOSE-EINSTEIN CONDENSATION;

EID: 84870592599     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.86.063602     Document Type: Article

References (45)

1. M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Science SCIEAS 0036-8075 10.1126/science.269.5221.198 269, 198 (1995).
2. K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.3969 75, 3969 (1995).
3. A. D. Cronin, J. Schmiedmayer, and D. E. Pritchard, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.81.1051 81, 1051 (2009).
4. J. Grond, U. Hohenester, J. Schmiedmayer, and A. Smerzi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.84.023619 84, 023619 (2011).
5. S.-W. Chiow, T. Kovachy, H.-C. Chien, and M. A. Kasevich, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.130403 107, 130403 (2011).
6. Y. Rezek and R. Kosloff, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/8/5/083 8, 83 (2006). (Pubitemid 43824661)
7. J. G. Muga, X. Chen, A. Ruschhaupt, and D. Guéry-Odelin, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/42/24/241001 42, 241001 (2009).
8. A. del Campo, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/96/60005 96, 60005 (2011).
9. J.-F. Schaff, X.-L. Song, P. Capuzzi, P. Vignolo, and G. Labeyrie, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/93/23001 93, 23001 (2011).
10. M. V. Berry, J. Phys. A 1751-8113 10.1088/1751-8113/42/36/365303 42, 365303 (2009).
11. S. Masuda and K. Nakamura, Proc. R. Soc. A 1364-5021 10.1098/rspa.2009. 0446 466, 1135 (2010).
12. X. Chen, A. Ruschhaupt, S. Schmidt, A. del Campo, D. Guéry-Odelin, and J. G. Muga, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104. 063002 104, 063002 (2010).
13. S. E. Sklarz and D. J. Tannor, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.053619 66, 053619 (2002).
14. U. Hohenester, P. K. Rekdal, A. Borzì, and J. Schmiedmayer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.023602 75, 023602 (2007). (Pubitemid 46203516)
15. A. Negretti, A. Benseny, J. Mompart, and T. Calarco, Quantum Inf. Process (2012), doi: 10.1007/s11128-012-0357-z.
16. H. J. Sussmann, SIAM J. Control Optim. SJCODC 0363-0129 10.1137/0325025 25, 433 (1987).
17. U. Boscain and B. Piccoli, Optimal Syntheses for Control Systems on 2-D Manifolds (Springer, Berlin, 2004).
18. H. Schaettler and U. Ledzewicz, Geometric Optimal Control (Springer, New York, 2012).
19. D. Stefanatos, J. Ruths, and J.-S. Li, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.063422 82, 063422 (2010).
20. D. Stefanatos, H. Schaettler, and J.-S. Li, SIAM J. Control Optim. SJCODC 0363-0129 10.1137/100818431 49, 2440 (2011).
21. L. Salasnich, A. Parola, and L. Reatto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.043614 65, 043614 (2002).
22. K.-H. Hoffmann, P. Salamon, Y. Rezek, and R. Kosloff, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/96/60015 96, 60015 (2011).
23. Y. Kagan, E. L. Surkov, and G. V. Shlyapnikov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.R1753 54, R1753 (1996).
24. Y. Castin and R. Dum, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.5315 77, 5315 (1996). (Pubitemid 40620090)
25. G. Baym and C. J. Pethick, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.6 76, 6 (1996).
26. A. del Campo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.84.031606 84, 031606 (R) (2011).
27. A. del Campo and M. G. Boshier, Sci. Rep. 2, 648 (2012).
28. X. Chen, E. Torrontegui, D. Stefanatos, J.-S. Li, and J. G. Muga, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.84.043415 84, 043415 (2011).
29. P. Salamon, K. H. Hoffmann, Y. Rezek, and R. Kosloff, Phys. Chem. Chem. Phys. PPCPFQ 1463-9076 10.1039/b816102j 11, 1027 (2009).
30. Y. Rezek, Ph.D. Thesis, Hebrew University of Jerusalem, 2011.
31. L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko, The Mathematical Theory of Optimal Processes (Interscience, New York, 1962).
32. U. Boscain and P. Mason, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.2203236 47, 062101 (2006). (Pubitemid 44000483)
33. M. Lapert, Y. Zhang, M. Braun, S. J. Glaser, and D. Sugny, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.083001 104, 083001 (2010).
34. B. F. Schutz, Geometrical Methods of Mathematical Physics (Cambridge University Press, Cambridge, 1980).
35. X. Chen and J. G. Muga, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.053403 82, 053403 (2010).
36. S. Choi, R. Onofrio, and B. Sundaram, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.84.051601 84, 051601 (R) (2011).
37. X. Chen, E. Torrontegui, and J. G. Muga, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.83.062116 83, 062116 (2011).
38. M.-A. Fasihi, Y. Wan, and M. Nakahara, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.81.024007 81, 024007 (2012).
39. A. Ruschhaupt, X. Chen, D. Alonso, and J. G. Muga, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/14/9/093040 14, 093040 (2012).
40. E. Torrontegui, S. Martínez-Garaot, M. Modugno, X. Chen, and J. G. Muga, arXiv: 1207.3184.
41. B. Juliá-Díaz, E. Torrontegui, J. Martorell, J. G. Muga, and A. Polls, arXiv: 1207.1483.
42. C. Yuce, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2012.04.011 376, 1717 (2012).
43. E. Torrontegui, X. Chen, M. Modugno, A. Ruschhaupt, D. Guéry-Odelin, and J. G. Muga, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.85.033605 85, 033605 (2012).
44. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1965).
45. A. P. Prudnikov, Y. A. Brychkov, and O. E. Marichev, Integrals and Series, Vol. 1, Elementary Functions, translated by N. M Queen (Gordon and Breach Science, New York, 1986).