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A three-dimensional classical micro-canonical model is used to investigate the ion momentum distributions of Ar atom in nonsequential double ionization with a few-cycle laser pulse. It is found that the momentum distribution has a strong dependence on the carrier-envelope phase of the few-cycle pulse. The centre of gravity of the asymmetry distribution shifts from negative to positive ion momenta with carrier-envelope phase increasing and it is reversed when the carrier-envelope phase changes by π. The momentum distributions of the Ar2+ ion show excellent agreement with the experimental results when we take into account the change in Coulomb potential between the nucleus and electron in the recollision process.
[1] Huillier A, Lompre L A, Mainfray G, Manus C 1983 Phys. Rev. A 27 2503
[2] Walker B, Sheehy B, DiMauro L F, Agostini P, Schafer K J, Kulander K C 1994 Phys. Rev. Lett. 73 1227
[3] Liu X, Rottke H, Eremina E, Sandner W, Goulielmakis E, Keeffe K O, Lezius M, Krausz F, Lindner F, Schatzel M G, Paulus G G, Walther H 2004 Phys. Rev. Lett. 93 263001
[4] Liao Q, Lu P X, Zhang Q B, Yang Z Y, Wang X B 2008 Opt. Express 16 17070
[5] Lein M, Gross E K U, Engel V 2000 Phys. Rev. Lett. 85 4707
[6] Zhou Y M, Liao Q, Lu P X 2009 Phys. Rev. A 80 023412
[7] Weber T, Weckenbrock M, Staudte A, Spielberger L, Jagutzki O, Mergel V, Afaneh F, Urbasch G, Vollmer M, Giessen H, Drner R 2000 Phys. Rev. Lett. 84 443
[8] Weber T, Giessen H, Weckenbrock M, Urbasch G, Staudte A, Spielberger L, Jagutzki O, Mergel V, Vollmer M, Dorner R 2000 Nature 405 658
[9] Feuerstein B, Moshammer R, Fischer D, Dorn A, Schrter C D, Deipenwisch J, Crespo Lopez-Urrutia J R, Hhr C, Neumayer P, Ullrich J, Rottke H, Trump C, Wittmann M, Korn G, Sandner W 2001 Phys. Rev. Lett. 87 043003
[10] Corkum P B 1993 Phys. Rev. Lett. 71 1994
[11] Watson J B, Sanpera A, Lappas D G, Knight P L, Burnett K 1997 Phys.Rev. Lett. 78 1884
[12] Lein M, Gross E K U, Engel V 2000 Phys. Rev. Lett. 85 4707
[13] Morisson Faria C F, Liu X, Becker W 2004 Phys. Rev. A 69 021402
[14] Haan S L, Van Dyke J S, Smith Z S 2008 Phys. Rev. Lett. 101 113001
[15] Cavalieri A L, Goulielmakis E, Horvath B, Helml W, Schultze M, Fieβ M, Pervak V, Veisz L, Yakovlev V S, Uiberacker M, Apolonski A, Krausz F, Kienberger R, 2007 New. J. Phys. 9 242
[16] Cao W, Lu P X, Lan P F, Wang X L, Li Y H 2007 Phys. Rev. A 75 063423
[17] Lan P F, Lu P X, Cao W, Li Y H, Wang X L 2007 Phys.Rev. A 76 021801
[18] Cao W, Lu P X, Lan P F, Wang X L, Yang G 2007 Opt. Express 15 530
[19] Lan P F, Lu P X, Cao W, 2007 Acta Phys. Sin. 56 2482 (in Chinese) [兰鹏飞、陆培祥、曹 伟 2007 物理学报 56 2482]
[20] Spielmann C, Burnett N H, Sartania S, Koppitsch R, Schnürer M, Kan C, Lenzner M, Wobrauschek P, Krausz F 1997 Science 278 661
[21] Lan P F, Lu P X, Cao W, Wang X L 2005 Phys. Rev. E 72 016622
[22] Cao W, Lu P X, Lan P F, Wang X L, Yang G, Li Y H 2007 Phys. Rev. A 75 063423
[23] Hong W Y,Lu P X, Lan P F, Zhang Q B, Wang X B 2009 Opt. Express 17 5139
[24] Lan P F, Lu P X, Li F, Li Y H, Yang Z Y 2008 Opt. Express 16 5868
[25] Zhang Q B, Lan P F, Hong W Y, Liao Q, Yang Z Y, Lu P X 2009 Acta Phys. Sin. 58 4908 (in Chinese) [张庆彬、兰鹏飞、洪伟毅、廖 青、杨振宇、陆培祥 2009 物理学报 58 4908]
[26] Liao Q, Lu P X, Lan P F, Cao W, Li Y H 2008 Phys. Rev. A 77 013408
[27] Paulus G G, Lindner F, Walther H, Baltuska A, Goulielmakis E, Lezius M, Krausz F 2003 Phys. Rev. Lett. 91 253004
[28] Liao Q, Lu P X, Lan P F, Yang Z Y, Li Y H 2008 Opt. Express 16 6455
[29] Li H Y, Chen J, Jiang H B, Liu J,Fu P M, Gong Q H, Yan Z C,Wang B B 2009 J. Phys. B 42 125601
[30] Liao Q, Lu P X, Zhang Q B, Hong W Y, Yang Z Y 2008 J. Phys. B 41 125601
[31] Zhou Y M, Liao Q, Lan P F Lu P X 2008 Chin. Phys. Lett. 25 3950
[32] Kreβ M, Loffler T, Thomson M D, Dorner R, Gimpel H, Zrost K, Ergler T, Moshammer R, Morgner U, Ullrich J, Roskos H 2006 Nature Phys. 2 327
[33] Haan S L, Breen L, Karim A 2007 Opt. Express 15 767
[34] Becker A, Drner R, Moshammer R 2005 J. Phys. B 38 S753
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[1] Huillier A, Lompre L A, Mainfray G, Manus C 1983 Phys. Rev. A 27 2503
[2] Walker B, Sheehy B, DiMauro L F, Agostini P, Schafer K J, Kulander K C 1994 Phys. Rev. Lett. 73 1227
[3] Liu X, Rottke H, Eremina E, Sandner W, Goulielmakis E, Keeffe K O, Lezius M, Krausz F, Lindner F, Schatzel M G, Paulus G G, Walther H 2004 Phys. Rev. Lett. 93 263001
[4] Liao Q, Lu P X, Zhang Q B, Yang Z Y, Wang X B 2008 Opt. Express 16 17070
[5] Lein M, Gross E K U, Engel V 2000 Phys. Rev. Lett. 85 4707
[6] Zhou Y M, Liao Q, Lu P X 2009 Phys. Rev. A 80 023412
[7] Weber T, Weckenbrock M, Staudte A, Spielberger L, Jagutzki O, Mergel V, Afaneh F, Urbasch G, Vollmer M, Giessen H, Drner R 2000 Phys. Rev. Lett. 84 443
[8] Weber T, Giessen H, Weckenbrock M, Urbasch G, Staudte A, Spielberger L, Jagutzki O, Mergel V, Vollmer M, Dorner R 2000 Nature 405 658
[9] Feuerstein B, Moshammer R, Fischer D, Dorn A, Schrter C D, Deipenwisch J, Crespo Lopez-Urrutia J R, Hhr C, Neumayer P, Ullrich J, Rottke H, Trump C, Wittmann M, Korn G, Sandner W 2001 Phys. Rev. Lett. 87 043003
[10] Corkum P B 1993 Phys. Rev. Lett. 71 1994
[11] Watson J B, Sanpera A, Lappas D G, Knight P L, Burnett K 1997 Phys.Rev. Lett. 78 1884
[12] Lein M, Gross E K U, Engel V 2000 Phys. Rev. Lett. 85 4707
[13] Morisson Faria C F, Liu X, Becker W 2004 Phys. Rev. A 69 021402
[14] Haan S L, Van Dyke J S, Smith Z S 2008 Phys. Rev. Lett. 101 113001
[15] Cavalieri A L, Goulielmakis E, Horvath B, Helml W, Schultze M, Fieβ M, Pervak V, Veisz L, Yakovlev V S, Uiberacker M, Apolonski A, Krausz F, Kienberger R, 2007 New. J. Phys. 9 242
[16] Cao W, Lu P X, Lan P F, Wang X L, Li Y H 2007 Phys. Rev. A 75 063423
[17] Lan P F, Lu P X, Cao W, Li Y H, Wang X L 2007 Phys.Rev. A 76 021801
[18] Cao W, Lu P X, Lan P F, Wang X L, Yang G 2007 Opt. Express 15 530
[19] Lan P F, Lu P X, Cao W, 2007 Acta Phys. Sin. 56 2482 (in Chinese) [兰鹏飞、陆培祥、曹 伟 2007 物理学报 56 2482]
[20] Spielmann C, Burnett N H, Sartania S, Koppitsch R, Schnürer M, Kan C, Lenzner M, Wobrauschek P, Krausz F 1997 Science 278 661
[21] Lan P F, Lu P X, Cao W, Wang X L 2005 Phys. Rev. E 72 016622
[22] Cao W, Lu P X, Lan P F, Wang X L, Yang G, Li Y H 2007 Phys. Rev. A 75 063423
[23] Hong W Y,Lu P X, Lan P F, Zhang Q B, Wang X B 2009 Opt. Express 17 5139
[24] Lan P F, Lu P X, Li F, Li Y H, Yang Z Y 2008 Opt. Express 16 5868
[25] Zhang Q B, Lan P F, Hong W Y, Liao Q, Yang Z Y, Lu P X 2009 Acta Phys. Sin. 58 4908 (in Chinese) [张庆彬、兰鹏飞、洪伟毅、廖 青、杨振宇、陆培祥 2009 物理学报 58 4908]
[26] Liao Q, Lu P X, Lan P F, Cao W, Li Y H 2008 Phys. Rev. A 77 013408
[27] Paulus G G, Lindner F, Walther H, Baltuska A, Goulielmakis E, Lezius M, Krausz F 2003 Phys. Rev. Lett. 91 253004
[28] Liao Q, Lu P X, Lan P F, Yang Z Y, Li Y H 2008 Opt. Express 16 6455
[29] Li H Y, Chen J, Jiang H B, Liu J,Fu P M, Gong Q H, Yan Z C,Wang B B 2009 J. Phys. B 42 125601
[30] Liao Q, Lu P X, Zhang Q B, Hong W Y, Yang Z Y 2008 J. Phys. B 41 125601
[31] Zhou Y M, Liao Q, Lan P F Lu P X 2008 Chin. Phys. Lett. 25 3950
[32] Kreβ M, Loffler T, Thomson M D, Dorner R, Gimpel H, Zrost K, Ergler T, Moshammer R, Morgner U, Ullrich J, Roskos H 2006 Nature Phys. 2 327
[33] Haan S L, Breen L, Karim A 2007 Opt. Express 15 767
[34] Becker A, Drner R, Moshammer R 2005 J. Phys. B 38 S753
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