RUS  ENG
Полная версия
ЖУРНАЛЫ // Symmetry, Integrability and Geometry: Methods and Applications

SIGMA, 2011, том 7, 033, 13 стр. (Mi sigma591)

An Exactly Solvable Spin Chain Related to Hahn Polynomials
Neli I. Stoilova, Joris Van der Jeugt

Список литературы

1. Shi T., Li Y., Song A., Sun C. P., “Quantum-state transfer via the ferromagnetic chain in a spatially modulated field”, Phys. Rev. A, 71 (2005), 032309, 5 pp., arXiv: quant-ph/0408152  crossref  adsnasa  isi
2. Bose S., “Quantum communication through an unmodulated spin chain”, Phys. Rev. Lett., 91 (2003), 207901, 4 pp., arXiv: quant-ph/0212041  crossref  adsnasa  isi
3. Bose S., Jin B.-Q., Korepin V. E., “Quantum communication through a spin ring with twisted boundary conditions”, Phys. Rev. A, 72 (2005), 022345, 4 pp., arXiv: quant-ph/0409134  crossref  adsnasa  isi
4. Bose S., “Quantum communication through spin chain dynamics: an introductory overview”, Contemp. Phys., 48 (2007), 13–30, arXiv: 0802.1224  crossref  adsnasa  isi
5. Lieb E., Wu F., “Absence of Mott transition in an exact solution of short-range 1-band model in 1 dimension”, Phys. Rev. Lett., 20 (1968), 1445–1448  crossref  adsnasa
6. Jordan P., Wigner E., “About the Pauli exclusion principle”, Z. Phys., 47 (1928), 631–651  crossref  zmath  adsnasa
7. Christandl M., Datta N., Ekert A., Landahl A. J., “Perfect state transfer in quantum spin networks”, Phys. Rev. Lett., 92 (2004), 187902, 4 pp., arXiv: quant-ph/0309131  crossref  mathscinet  adsnasa  isi
8. Albanese C., Christandl M., Datta N., Ekert A., “Mirror inversion of quantum states in linear registers”, Phys. Rev. Lett., 93 (2004), 230502, 4 pp., arXiv: quant-ph/0405029  crossref  mathscinet  adsnasa  isi
9. Christandl M., Datta N., Dorlas T. C., Ekert A., Kay A., Landahl A. J., “Perfect transfer of arbitrary states in quantum spin networks”, Phys. Rev. A, 71 (2005), 032312, 11 pp., arXiv: quant-ph/0411020  crossref  adsnasa  isi
10. Yung M. H., Bose S., “Perfect state transfer, effective gates, and entanglement generation in engineered bosonic and fermionic networks”, Phys. Rev. A, 71 (2005), 032310, 6 pp., arXiv: quant-ph/0407212  crossref  adsnasa  isi
11. Karbach P., Stolze J., “Spin chains as perfect quantum state mirrors”, Phys. Rev. A, 72 (2005), 030301, 4 pp., arXiv: quant-ph/0501007  crossref  mathscinet  adsnasa  isi
12. Kay A., “A review of perfect state transfer and its application as a constructive tool”, Int. J. Quantum Inf., 8 (2010), 641–676, arXiv: 0903.4274  crossref  zmath  isi
13. Chakrabarti R., Van der Jeugt J., “Quantum communication through a spin chain with interaction determined by a Jacobi matrix”, J. Phys. A: Math. Theor., 43 (2010), 085302, 20 pp., arXiv: 0912.0837  crossref  mathscinet  zmath  adsnasa  isi
14. Jafarov E. I., Van der Jeugt J., “Quantum state transfer in spin chains with $q$-deformed interaction terms”, J. Phys. A: Math. Theor., 43 (2010), 405301, 18 pp., arXiv: 1005.2912  crossref  mathscinet  zmath  isi
15. Koekoek R., Lesky P. A., Swarttouw R. F., Hypergeometric orthogonal polynomials and their $q$-analogues, Springer Monographs in Mathematics, Springer-Verlag, Berlin, 2010  crossref  mathscinet  zmath
16. Nikiforov A. F., Suslov S. K., Uvarov V. B., Classical orthogonal polynomials of a discrete variable, Springer Series in Computational Physics, Springer-Verlag, Berlin, 1991  mathscinet
17. Regniers G., Van der Jeugt J., “Analytically solvable Hamiltonians for quantum systems with a nearest-neighbour interaction”, J. Phys. A: Math. Theor., 42 (2009), 125301, 16 pp., arXiv: 0902.2308  crossref  mathscinet  zmath  adsnasa  isi
18. Bailey W. N., Generalized hypergeometric series, Cambridge Tracts in Mathematics and Mathematical Physics, 32, Stechert-Hafner, Inc., New York, 1964  mathscinet
19. Slater L. J., Generalized hypergeometric functions, Cambridge University Press, Cambridge, 1966  mathscinet  zmath
20. Qian X.-F., Li Y., Li Y., Song Z., Sun C. P., “Quantum-state transfer characterized by mode entanglement”, Phys. Rev. A, 72 (2005), 062329, 6 pp.  crossref  adsnasa  isi
21. Gasper G., Rahman M., Basic hypergeometric series, Encyclopedia of Mathematics and its Applications, 96, 2nd ed., Cambridge University Press, Cambridge, 2004  mathscinet  zmath
22. Atakishiyev N. M., Pogosyan G. S., Wolf K. B., “Finite models of the oscillator”, Phys. Part. Nuclei, 36 (2005), 247–265  isi


© МИАН, 2026