Quantum matter-wave dynamics with moving mirrors

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 77, Issue 1, 2008, Pages

  Del Campo, A ^a   Muga, J G ^a   Kleber, M ^b  

^a UNIVERSITY OF THE BASQUE COUNTRY UPV EHU   (Spain)

^b TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC NOISE; ACOUSTIC WAVE PROPAGATION; ATOMIC BEAMS; MIRRORS;

APERTURE FUNCTIONS; DENSITY PROFILE; ENVIRONMENTAL NOISE; INCIDENT VELOCITY; QUANTUM MATTER-WAVE DYNAMICS;

QUANTUM CHEMISTRY;

EID: 40749140780     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.013608     Document Type: Article

References (39)

1. P. Berman, Atom Interferometry (Academic, San Diego, 1997).
2. A. Steyerl, H. Nagel, F. X. Schreiber, K. A. Steinhauser, R. Gähler, W. Gläser, P. Ageron, J. M. Astruc, W. Drexel, G. Gervais, and W. Mampe, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(86)90587-6 116, 347 (1986).
3. A. Steane, P. Szriftgiser, P. Desbiolles, and J. Dalibard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.4972 74, 4972 (1995).
4. M. Arndt, P. Szriftgiser, J. Dalibard, and A. M. Steane, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.53.3369 53, 3369 (1996).
5. A. Libson, N. J. Phys. 8, 77 (2006). 1367-2630
6. G. Reinaudi, Eur. Phys. J. D EPJDF6 1434-6060 10.1140/epjd/e2006-00244-6 40, 405 (2006).
7. V. I. Man'ko, M. Moshinsky, and A. Sharma, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.1809 59, 1809 (1999).
8. M. Moshinsky, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.88.625 88, 625 (1952).
9. M. Moshinsky, Am. J. Phys. AJPIAS 0002-9505 10.1119/1.10581 44, 1037 (1976).
10. M. Kleber, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(94)90029-9 236, 331 (1994).
11. A. del Campo, J. G. Muga, and M. Moshinsky, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/40/5/012 40, 975 (2007).
12. T. Hils, J. Felber, R. Gähler, W. Gläser, R. Golub, K. Habicht, and P. Wille, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.58.4784 58, 4784 (1998).
13. A. Steane, P. Szriftgiser, P. Desbiolles, and J. Dalibard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.4972 74, 4972 (1995)
14. M. Arndt, P. Szriftgiser, J. Dalibard, and A. M. Steane, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.53.3369 53, 3369 (1996)
15. M. Arndt, P. Szriftgiser, J. Dalibard, and A. M. Steane, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.53.3369 53, 3369 (1996).
16. F. Lindner, M. G. Schätzel, H. Walther, A. Baltuka, E. Goulielmakis, F. Krausz, D. B. Miloević, D. Bauer, W. Becker, and G. G. Paulus, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.040401 95, 040401 (2005).
17. Y. Colombe, B. Mercier, H. Perrin, and V. Lorent, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.061601 72, 061601 (R) (2005).
18. A. del Campo and J. G. Muga, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/45/006 38, 9803 (2005).
19. J. G. Muga and M. Büttiker, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.023808 62, 023808 (2000).
20. M. Moshinsky and D. Schuch, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/34/19/317 34, 4217 (2001).
21. A. S. Gerasimov and M. V. Kazarnovskii, Sov. Phys. JETP SPHJAR 0038-5646 44, 892 (1976).
22. S. Godoy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.042111 65, 042111 (2002).
23. S. Godoy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.012102 67, 012102 (2003).
24. E. Granot and A. Marchewka, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.012708 76, 012708 (2007).
25. A. del Campo and J. G. Muga, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2006-10061-5 74, 965 (2006).
26. G. Scheitler and M. Kleber, Z. Phys. D 9, 267 (1988). 0178-7683
27. E. Granot and A. Marchewka, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10264-2 72, 341 (2005).
28. V. N. Faddeyeva and N. M. Terentev, Mathematical Tables: Tables of the Values of the Function w (z) for Complex Argument (Pergamon, New York, 1961).
29. A. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965).
30. J. G. Muga, R. Sala, and R. F. Snider, Phys. Scr. PHSTBO 0031-8949 10.1088/0031-8949/47/6/007 47, 732 (1993).
31. M. Moshinsky, Rev. Mex. Fis. RMXFAT 0035-001X 1, 151 (1952).
32. M. G. E. da Luz and B. K. Cheng, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/25/17/005 25, L1043 (1992).
33. C. Grosche, Ann. Phys. ANPYA2 0003-3804 10.1002/andp.19935050606 505, 557 (1993).
34. R. E. Crandall, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/16/3/011 16, 513 (1983).
35. We have also considered the case of a semitransparent mirror of the form V (x) =ηδ (x-vt). The resulting dynamics is still exactly solvable, and shows that the enhancement of the diffraction is maximized in the limit η→, discussed here.
36. We use the relation C (z) +iS (z) = 1+i 2 { 1-erfc [π (1-i) z/2] }.
37. S. N. Balashov, Physica B PHYBE3 0921-4526 10.1016/j.physb.2004.04.038 350, 246 (2004).
38. A. del Campo and J. G. Muga, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/39/20/017 39, 5897 (2006).
39. Y. D. Song, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-00419-1 62, 622 (2003).