GENERAL |
|
|
|
|
Fidelity Susceptibility in the SU(2) and SU(1,1) Algebraic Structure Models |
ZHANG Hong-Biao1, TIAN Li-Jun2,3 |
1Institute of Theoretical Physics, Northeast Normal University, Changchun 130024 2Department of Physics, College of Science, Shanghai University, Shanghai 200444 3Shanghai Key Lab for Astrophysics, Shanghai 200234 |
|
Cite this article: |
ZHANG Hong-Biao, TIAN Li-Jun 2010 Chin. Phys. Lett. 27 050304 |
|
|
Abstract We mainly explore the fidelity susceptibility based on the Lie algebraic method. On physical grounds, the exact expressions of fidelity susceptibilities can be respectively obtained in SU(2) and SU(1,1) algebraic structure models, which are applied to one-body system and many-body systems, such as the single spin model, the single-mode squeeze harmonic oscillator model and the BCS model. In terms of the double-time Green-function method, our general conclusions are illustrated with two models which exhibit the fidelity susceptibilities at the finite temperature and Τ=0.
|
Keywords:
03.67.-a
64.70.Tg
03.65.Ud
75.10.Jm
|
|
Received: 19 March 2010
Published: 23 April 2010
|
|
PACS: |
03.67.-a
|
(Quantum information)
|
|
64.70.Tg
|
(Quantum phase transitions)
|
|
03.65.Ud
|
(Entanglement and quantum nonlocality)
|
|
75.10.Jm
|
(Quantized spin models, including quantum spin frustration)
|
|
|
|
|
[1] Peres A 1984 Phys. Rev. A 30 1610 [2] Pellegrini F and Montangero S 2007 Phys. Rev. A 76 052327 [3] Weinstein Y, Lloyd and and Isallis C 2002 Phys. Rev. Lett. 89 214101 [4] Zanardi P and Paunkovic N 2006 Phys. Rev. E 74 031123 [5] Nilesen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Combridge University) ISBN:0-521-63503-9 [6] Osterloh A, Amico L, Falci G and Fazio R 2002 Nature 416 608 [7] Wei T C and Goldbart P M 2003 Phys. Rev. A 68 042307 [8] Hofmann H F, Ide T, Kobayashi T and Furusawa A 2000 Phys. Rev. A 62 062304 [9] Madsen L B and M {\o}lmer K 2006 Phys. Rev. A 73 032342 [10] Quan H T, Song Z, Liu X F, Zanardi P and Sun C P 2006 Phys. ReV. Lett. 96 140604 [11] Gorin T, Prosen T, Seligman T H et al 2006 Phys. Rept. 435 33 [12] Chen S, Wang L, Hao Y and Wang Y 2008 Phys. Rev. A 77 032111 [13] Chen S, Wang L, Gu S J and Wang Y 2007 Phys. Rev. E 76 061108 [14] Paunkovic N, Sacramento P D, Nogueira, Vieira V R and Dugaev V K 2008 Phys. Rev. A 77 052302 [15] You W L, Li Y W and Gu S J 2007 Phys. Rev. E 76 022101 [16] Zhang W M, Feng D X and Gilmore R 1990 Rev. Mod. Phys. 62 867 [17] Perelomov A M 1972 Commun. Math. Phys. 26 222 [18] Perelomov A M 1977 Phys. Usp. 20 703 [19] Gu S J arXiv: quant-ph/0811.3127v1 [20] Khan A and Pieri P 2009 Phys. Rev. A 80 012303
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|