PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Czasopismo
2009 | 7 | 4 | 854-859
Tytuł artykułu

A hierarchy of Hamilton operators and entanglement

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We consider a hierarchy of Hamilton operators Ĥ N in finite dimensional Hilbert spaces $$ \mathbb{C}^{2^N } $$. We show that the eigenstates of Ĥ N are fully entangled for N even. We also calculate the unitary operator U N(t) = exp(-Ĥ N t/ħ) for the time evolution and show that unentangled states can be transformed into entangled states using this operator. We also investigate energy level crossing for this hierarchy of Hamilton operators.
Wydawca

Czasopismo
Rocznik
Tom
7
Numer
4
Strony
854-859
Opis fizyczny
Daty
wydano
2009-12-01
online
2009-07-21
Twórcy
  • International School for Scientific Computing, University of Johannesburg, Auckland Park, 2006, South Africa, steebwilli@gmail.com
autor
  • International School for Scientific Computing, University of Johannesburg, Auckland Park, 2006, South Africa
Bibliografia
  • [1] J. A. Cronin, D. F. Greenberg, V. L. Telegdi, University of Chicago Graduate Problems in Physics (Addison-Wesley, Reading, Massachusetts, 1967)
  • [2] A. Zrenner et al., Nature 418, 612 (2002) http://dx.doi.org/10.1038/nature00912[Crossref]
  • [3] R. Deblock, E. Onac, L. Gurevich, L. P. Kouwenhoven, Science 301, 203 (2003) http://dx.doi.org/10.1126/science.1084175[Crossref]
  • [4] A. Shnirman, D. Mozyrsky, I. Martin, Europhys. Lett. 67, 840 (2004) http://dx.doi.org/10.1209/epl/i2003-10309-6[Crossref]
  • [5] S. Ashhab, J. R. Johansson, F. Nori, New J. Phys. 8, 103 (2006) http://dx.doi.org/10.1088/1367-2630/8/6/103[Crossref]
  • [6] L. Faoro, L. Ioffe, Phys. Rev. Lett. 96, 04001 (2006) http://dx.doi.org/10.1103/PhysRevLett.96.047001[Crossref]
  • [7] A. M. Zagoskin, S. Ashhab, J. R. Johansson, F. Nori, Phys. Rev. Lett. 97, 077001 (2006) http://dx.doi.org/10.1103/PhysRevLett.97.077001[Crossref]
  • [8] R. M. Angelo, W. F. Wreszinski, Ann. Phys.-New York 322, 769 (2007) http://dx.doi.org/10.1016/j.aop.2007.01.001[Crossref]
  • [9] A. Pechen, D. Prokhorenko, R. Wu, H. Rabitz, Journal of Physics A: Mathematical and Theoretical 41, 045205 (2008) http://dx.doi.org/10.1088/1751-8113/41/4/045205[Crossref]
  • [10] M. A. Nielsen, I. L. Chuang, Quantum Computing and Quantum Information (Cambridge University Press, 2000)
  • [11] W.-H. Steeb, Y. Hardy, Problems and Solutions in Quantum Computing and Quantum Information, second edition (World Scientific, Singapore, 2006)
  • [12] W.-H. Steeb, Matrix Calculus and Kronecker Product with Applications and C++ Programs (World Scientific, Singpore, 1997)
  • [13] W.-H. Steeb, Problems and Solutions in Introductory and Advanced Matrix Calculus (World Scientific, Singapore, 2006)
  • [14] V. Coffman, J. Kundu, W. K. Wootters, Phys. Rev. A 61, 052306 (2000) http://dx.doi.org/10.1103/PhysRevA.61.052306[Crossref]
  • [15] A. Wong, N. Christensen, Phys. Rev. A 63 044301 (2001) http://dx.doi.org/10.1103/PhysRevA.63.044301
  • [16] F. Hund, Z. Phys. 40, 742 (1927) http://dx.doi.org/10.1007/BF01400234[Crossref]
  • [17] J. von Neumann, E. Wigner, Phys. Z. 30, 467 (1929)
  • [18] W.-H. Steeb, Problems and Solutions in Theoretical and Mathematical Physics, second edition, Volume II: Advanced Level (World Scientific, Singapore, 2003)
  • [19] W.-H. Steeb, A. J. van Tonder, C. M. Villet, S. J. M. Brits, Found. Phys Lett 1, 147 (1988) http://dx.doi.org/10.1007/BF00661855[Crossref]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-009-0075-z
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.