메뉴 건너뛰기




Volumn 362, Issue 1821, 2004, Pages 1677-1690

Inelastic vector soliton collisions: A lattice-based quantum representation

Author keywords

Inelastic soliton collisions; Manakov equations; Quantum lattice gas algorithms; Turbulence; Vector solitons

Indexed keywords


EID: 3843151345     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2004.1415     Document Type: Conference Paper
Times cited : (38)

References (21)
  • 1
    • 0000807895 scopus 로고
    • Weyl, Dirac and Maxwell equations on a lattice as unitary cellular automata
    • Bialynicki-Birula, I. 1994 Weyl, Dirac and Maxwell equations on a lattice as unitary cellular automata. Phys. Rev. D 49, 6920-6927.
    • (1994) Phys. Rev. D , vol.49 , pp. 6920-6927
    • Bialynicki-Birula, I.1
  • 3
    • 0000316617 scopus 로고    scopus 로고
    • State transformations of colliding optical solitons and possible application to computation in bulk media
    • Jakubowski, M. K., Steiglitz, K. & Squier, R. 1998 State transformations of colliding optical solitons and possible application to computation in bulk media. Phys. Rev. E 58, 6752-6758.
    • (1998) Phys. Rev. E , vol.58 , pp. 6752-6758
    • Jakubowski, M.K.1    Steiglitz, K.2    Squier, R.3
  • 5
    • 0035517549 scopus 로고    scopus 로고
    • Shape changing collisions of optical solitons, universal logic gates and partially coherent solitons in coupled nonlinear Schrödinger equations
    • Lakshmanan, M. & Kanna, T. 2001 Shape changing collisions of optical solitons, universal logic gates and partially coherent solitons in coupled nonlinear Schrödinger equations. Pramana 57, 885-916.
    • (2001) Pramana , vol.57 , pp. 885-916
    • Lakshmanan, M.1    Kanna, T.2
  • 6
    • 0000763166 scopus 로고
    • On the theory of two-dimensional stationary self-focusing of electromagnetic waves
    • Manakov, S. V. 1974 On the theory of two-dimensional stationary self-focusing of electromagnetic waves. JETP 38, 248-253.
    • (1974) JETP , vol.38 , pp. 248-253
    • Manakov, S.V.1
  • 7
    • 0024914687 scopus 로고
    • Pulse propagation in an elliptically birefringent optical Kerr medium
    • Menyuk, C. R. 1989 Pulse propagation in an elliptically birefringent optical Kerr medium. IEEE J. Quantum Electron. 25, 2674-2682.
    • (1989) IEEE J. Quantum Electron. , vol.25 , pp. 2674-2682
    • Menyuk, C.R.1
  • 8
    • 0030878162 scopus 로고    scopus 로고
    • Self-trapping of incoherent white light
    • Mitchell, M. & Segev, M. 1997 Self-trapping of incoherent white light. Nature 387, 880-882.
    • (1997) Nature , vol.387 , pp. 880-882
    • Mitchell, M.1    Segev, M.2
  • 9
    • 0030191241 scopus 로고    scopus 로고
    • Self-trapping of partially spatially incoherent light
    • Mitchell, M., Chen, Z., Shih, M. F. & Segev, M. 1997 Self-trapping of partially spatially incoherent light. Phys. Rev. Lett. 77, 490-493.
    • (1997) Phys. Rev. Lett. , vol.77 , pp. 490-493
    • Mitchell, M.1    Chen, Z.2    Shih, M.F.3    Segev, M.4
  • 12
    • 0037100240 scopus 로고    scopus 로고
    • Towards an NMR implementation of a quantum lattice gas algorithm
    • Pravia, M., Chen, Z., Yepez, J. & Cory, D. G. 2002 Towards an NMR implementation of a quantum lattice gas algorithm. Comput. Phys. Commun. 146, 339-344.
    • (2002) Comput. Phys. Commun. , vol.146 , pp. 339-344
    • Pravia, M.1    Chen, Z.2    Yepez, J.3    Cory, D.G.4
  • 13
    • 3042708854 scopus 로고    scopus 로고
    • Experimental demonstration of quantum lattice gas computation
    • Pravia, M., Chen, Z., Yepez, J. & Gory, D. G. 2003 Experimental demonstration of quantum lattice gas computation. Quant. Informat. Process. 2, 1-19.
    • (2003) Quant. Informat. Process. , vol.2 , pp. 1-19
    • Pravia, M.1    Chen, Z.2    Yepez, J.3    Gory, D.G.4
  • 14
    • 0031212459 scopus 로고    scopus 로고
    • Inelastic collision and switching of coupled bright solitons in optical fibers
    • Radhakrishnan, R., Lakshmanan, M. & Hietarinta. J. 1997 Inelastic collision and switching of coupled bright solitons in optical fibers. Phys. Rev. E 56, 2213-2216.
    • (1997) Phys. Rev. E , vol.56 , pp. 2213-2216
    • Radhakrishnan, R.1    Lakshmanan, M.2    Hietarinta, J.3
  • 15
    • 85115374351 scopus 로고
    • Algorithms for quantum computation: Discrete logarithms and factoring
    • New York: IEEE Press
    • Shor, P. W. 1994 Algorithms for quantum computation: discrete logarithms and factoring. In Proc. 35th Annual Symp. Foundations Computer Science. New York: IEEE Press.
    • (1994) Proc. 35th Annual Symp. Foundations Computer Science
    • Shor, P.W.1
  • 16
    • 18644378856 scopus 로고    scopus 로고
    • Time-gated Manakov spatial solitons are computationally universal
    • Steiglitz, K. 2001a Time-gated Manakov spatial solitons are computationally universal. Phys. Rev. E 63, 016608.
    • (2001) Phys. Rev. E , vol.63 , pp. 016608
    • Steiglitz, K.1
  • 17
    • 0035305777 scopus 로고    scopus 로고
    • Multistable collision cycles of Manakov spatial solitons
    • Steiglitz, K. 2001b Multistable collision cycles of Manakov spatial solitons. Phys. Rev. E 63, 046607.
    • (2001) Phys. Rev. E , vol.63 , pp. 046607
    • Steiglitz, K.1
  • 19
    • 0344944221 scopus 로고    scopus 로고
    • Quantum lattice gas representation for vector solitons
    • Bellingham, WA: SPIE
    • Vahala, G., Vahala, L. & Yepez, J. 2003a Quantum lattice gas representation for vector solitons. SPIE Conference Proceedings, vol. 5105, pp. 273-281. Bellingham, WA: SPIE.
    • (2003) SPIE Conference Proceedings , vol.5105 , pp. 273-281
    • Vahala, G.1    Vahala, L.2    Yepez, J.3
  • 20
    • 0037437102 scopus 로고    scopus 로고
    • Quantum lattice gas representation of some classical solitons
    • Vahala, G., Yepez, J. & Vahala, L. 2003b Quantum lattice gas representation of some classical solitons. Phys. Lett. A 310, 187-196.
    • (2003) Phys. Lett. A , vol.310 , pp. 187-196
    • Vahala, G.1    Yepez, J.2    Vahala, L.3
  • 21
    • 0037100204 scopus 로고    scopus 로고
    • An efficient and accurate quantum lattice-gas model for the many-body Schrödinger equation
    • Yepez, J. & Boghosian, B. M. 2002 An efficient and accurate quantum lattice-gas model for the many-body Schrödinger equation. Comput. Phys. Commun. 146, 280-294.
    • (2002) Comput. Phys. Commun. , vol.146 , pp. 280-294
    • Yepez, J.1    Boghosian, B.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.