摘要Using deformed boson algebra, we study the property of two-mode coherent states in noncommutative phase space. When a two-mode field evolves in the noncommutative phase space, it can acquire an extra θ-dependent phase compared to the case of commutative space. This phase is detectable and may be used to test noncommutativity.
Abstract:Using deformed boson algebra, we study the property of two-mode coherent states in noncommutative phase space. When a two-mode field evolves in the noncommutative phase space, it can acquire an extra θ-dependent phase compared to the case of commutative space. This phase is detectable and may be used to test noncommutativity.
YAN Long,FENG Xun-Li**,ZHANG Zhi-Ming,LIU Song-Hao. An Extra Phase for Two-Mode Coherent States Displaced in Noncommutative Phase Space[J]. 中国物理快报, 2012, 29(4): 41102-041102.
YAN Long,FENG Xun-Li**,ZHANG Zhi-Ming,LIU Song-Hao. An Extra Phase for Two-Mode Coherent States Displaced in Noncommutative Phase Space. Chin. Phys. Lett., 2012, 29(4): 41102-041102.
[1] Connes A, Douglas M and Schwarz A 1998 J. High Energy Phys. 02 003Nekrasov N A 2000 arXiv:hep-th/0011095Konechny A and Schwarz A 2002 Phys. Rep. 360 353Harvey J A 2001 arXiv:hep-th/0102076[2] Chaichian M, Sheikh-Jabbari M M and Tureanu A 2001 Phys. Rev. Lett. 86 2716[3] Gamboa J, Loewe M and Rojas J C 2001 Phys. Rev. D 64 067901Hatzinikitas A and Smyrnakis I 2002 J. Math. Phys. (N. Y.) 43 113Smailagic A and Spallucci E 2002 Phys. Rev. D 65 107701Ho P M and Kao H C 2002 Phys. Rev. Lett. 88 151602[4] Nair V P and Polychronakos A P 2001 Phys. Lett. B 505 267[5] Zhang J Z 2004 Phys. Lett. B 584 204[6] Zhang J Z 2004 Phys. Rev. Lett. 93 043002[7] Wang J H and Li K 2007 Chin. Phys. Lett. 24 5[8] Wang J H, Li K and Dulat S 2008 Chin. Phys. C 32 803[9] Seiberg N and Witten E 1999 J. High Energy Phys. 1999 032[10] Douglas M R and Nekrasov N A 2001 Rev. Mod. Phys. 73 977Konechny A, Schwarz A 2002 Phys. Rep. 360 353[11] Bertolarmi O, Rosa J G, de Aragão C M L, Castorina P and Zappalã D 2005 Phys. Rev. D 72 025010[12] Zhang J Z 2004 Phys. Lett. B 597 362[13] Yin Q J and Zhang J Z 2005 Phys. Lett. B 613 91[14] Wu Y 2006 Phys. Lett. B 634 74[15] Zhang J Z, Gao K L and Ning C G 2008 Phys. Rev. D 78 105021[16] Lin B S and Jing S C 2008 Phys. Lett. A 372 4880[17] Bastos C, Bertolami O, Dias N C and Prata J N 2011 Class. Quantum Grav. 28 125007[18] Wang X B and Zanardi P 2002 Phys. Rev. A 65 032327[19] Zhu S L and Wang Z D 2003 Phys. Rev. Lett. 91 187902[20] Feng X L, Wu C F, Sun H and Oh C H 2009 Phys. Rev. Lett. 103 200501[21] Liang M L and Chen Q 2011 Phys. Scr. 84 015008[22] Dayi Ö F 2009 EuroPhys. Lett. 85 41002