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In this paper the dynamical entanglements of anharmonic vibrations in the linear triatomic molecules are researched by the Lie algebraic approach. The linear entropy and the Von Neumann entropy are analytically obtained for both initial Fock states and coherent states. The dynamical properties of entanglement in molecules HCN and DCN are discussed.
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Keywords:
- algebra /
- dynamical entanglement /
- vibration
[1] Nielsen M A, Chuang I L 2000 Quantum Computation and Quantum Information (United Kingdom: Cambridge University Press)
[2] Vedral V 2002 Rev.Mod.Phys. 74 197
[3] Vidal G, Latorre J I, Rico E, Kitaev A 2003 Phys.Rev.Lett. 90 227902
[4] Tamaryan L, Park D, Tamaryan S 2008 Phys.Rev.A 77 022325
[5] Cabello A, Rossi A, Vallone G, Martini F D, Mataloni P 2009 Phys.Rev.Lett. 102 040401
[6] Cai J W, Fang M F, Liao X P, Zheng X J 2006 Chin. Phys. 15 492
[7] Donoso A, Zheng Y J, Martens C C 2003 J.Chem.Phys. 119 5010
[8] Hou X W, Wan M F, Ma Z Q 2006 Chem.Phys.Lett. 426 429
[9] Milman P, Keller A 2009 Phys.Rev.A 79 052303
[10] Cheng C M, Hou X W 2009 Chin. Phys. B 18 2979
[11] Tesch C M, Kurtz L, Vivie-Riedle R 2001 Chem. Phys. Lett. 343 633
[12] Feng H R, Ding S L 2007 J.Phys.B 40 69
[13] Feng H R, Liu Y, Zheng Y J, Ding S L, Ren W Y 2007 Phys.Rev.A 75 063417
[14] Bennett C H, Bernstein H J, Popescu S, Schumacher B 1996 Phys. Rev. A 54 3824
[15] Isar A 1999 Fortschr. Phys. 47 855
[16] Levine R D 1983 Chem. Phys. Lett. 95 87
[17] Sanz L, Angelo R M, Furuya K 2003 J.Phys.A 36 9737
[18] Hou X W, Chen J H, Ma Z Q 2006 Phys.Rev.A 74 062513
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[1] Nielsen M A, Chuang I L 2000 Quantum Computation and Quantum Information (United Kingdom: Cambridge University Press)
[2] Vedral V 2002 Rev.Mod.Phys. 74 197
[3] Vidal G, Latorre J I, Rico E, Kitaev A 2003 Phys.Rev.Lett. 90 227902
[4] Tamaryan L, Park D, Tamaryan S 2008 Phys.Rev.A 77 022325
[5] Cabello A, Rossi A, Vallone G, Martini F D, Mataloni P 2009 Phys.Rev.Lett. 102 040401
[6] Cai J W, Fang M F, Liao X P, Zheng X J 2006 Chin. Phys. 15 492
[7] Donoso A, Zheng Y J, Martens C C 2003 J.Chem.Phys. 119 5010
[8] Hou X W, Wan M F, Ma Z Q 2006 Chem.Phys.Lett. 426 429
[9] Milman P, Keller A 2009 Phys.Rev.A 79 052303
[10] Cheng C M, Hou X W 2009 Chin. Phys. B 18 2979
[11] Tesch C M, Kurtz L, Vivie-Riedle R 2001 Chem. Phys. Lett. 343 633
[12] Feng H R, Ding S L 2007 J.Phys.B 40 69
[13] Feng H R, Liu Y, Zheng Y J, Ding S L, Ren W Y 2007 Phys.Rev.A 75 063417
[14] Bennett C H, Bernstein H J, Popescu S, Schumacher B 1996 Phys. Rev. A 54 3824
[15] Isar A 1999 Fortschr. Phys. 47 855
[16] Levine R D 1983 Chem. Phys. Lett. 95 87
[17] Sanz L, Angelo R M, Furuya K 2003 J.Phys.A 36 9737
[18] Hou X W, Chen J H, Ma Z Q 2006 Phys.Rev.A 74 062513
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