Full-text resources of PSJD and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl

PL EN


Preferences help
enabled [disable] Abstract
Number of results

Journal

2007 | 5 | 3 | 367-376

Article title

Mean spin direction and spin squeezing in superpositions of spin coherent states

Content

Title variants

Languages of publication

EN

Abstracts

EN
We consider the mean spin direction (MSD) of superpositions of two spin coherent states (SCS) | ± μ〉, and superpositions of | μ〉 and | μ*〉 with a relative phase. We find that the azimuthal angle exhibits a π transition for both states when we vary the relative phase. The spin squeezing of the states, and the bosonic counterpart of the mean spin direction are also discussed.

Contributors

author
  • Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, HangZhou, 310027, P.R. China
author
author
  • Institute of Applied Physics, Changchun University, Changchun, 130022, P.R. China

References

  • [1] B. Yurke “Input states for enhancement of fermion interferometer sensitivity”, Phys. Rev. Lett., Vol. 56, (1986), pp. 1515–1517. http://dx.doi.org/10.1103/PhysRevLett.56.1515[Crossref]
  • [2] L.A. Wu, H.J. Kimble, J.L. Hall and H. Wu “Generation of squeezed states by parametric down conversion”, Phys. Rev. Lett., Vol. 57, (1986), pp. 2520–2523. http://dx.doi.org/10.1103/PhysRevLett.57.2520[Crossref]
  • [3] M. Kitagawa and M. Ueda “Squeezed spin states”, Phys. Rev. A, Vol. 47, (1993), pp. 5138–5143. http://dx.doi.org/10.1103/PhysRevA.47.5138[Crossref]
  • [4] D.J. Wineland, J.J. Bollinger, W.M. Itano and D.J. Heinzen “Squeezed atomic states and projection noise in spectroscopy”, Phys. Rev. A, Vol. 50, (1994), pp. 67–88. http://dx.doi.org/10.1103/PhysRevA.50.67[Crossref]
  • [5] D.J. Wineland “Spin squeezing and reduced quantum noise in spectroscopy”, Phys. Rev. A, Vol. 46, (1992), pp. R6797–R6800. http://dx.doi.org/10.1103/PhysRevA.46.R6797[Crossref]
  • [6] G.S. Agarwal and R.R. Puri “Cooperative behavior of atoms irradiated by broadband squeezed light”, Phys. Rev. A, Vol. 41, (1990), pp. 3782–3791. http://dx.doi.org/10.1103/PhysRevA.41.3782[Crossref]
  • [7] M.D. Lukin, S.F. Yelin and M. Fleischhauer “Entanglement of atomic ensembles by trapping correlated photon states”, Phys. Rev. Lett., Vol. 84, (2000), pp. 4232–4235; A. André and M. D. Lukin: “Atom correlations and spin squeezing near the Heisenberg limit: Finite-size effect and decoherence”, Phys. Rev. A, Vol. 65, (2002), art. 053819. http://dx.doi.org/10.1103/PhysRevLett.84.4232[Crossref]
  • [8] L. Vernac, M. Pinard and E. Giacobino “Spin squeezing in two-level systems”, Phys. Rev. A, Vol. 62, (2000), art. 063812.
  • [9] A. Kuzmich, N.P. Bigelow and L. Mandel “Atomic quantum non-demolition measurements and squeezing”, Europhys. Lett., Vol. 43, (1998), pp. 481–486; A. Kuzmich, K. Molmer and E. S. Polzik: “Spin squeezing in an ensemble of atoms illuminated with squeezed light”, Phys. Rev. Lett., Vol. 79, (1997), pp. 4782–4785; A. Kuzmich, L. Mandel, N.P. Bigelow: “Generation of spin squeezing via continuous quantum nondemolition measurement”, Phys. Rev. Lett., Vol. 85, (2000), pp. 1594–1597; A. Kozhekin, K. Molmer and E.S. Polzik: “Quantum memory for light”, Phys. Rev. A, Vol. 62, (2000), art. 033809; J. Wesenberg and K. Molmer: “Mixed collective states of many spins”, Phys. Rev. A, Vol. 65, (2002), art. 062304. http://dx.doi.org/10.1209/epl/i1998-00277-9[Crossref]
  • [10] X. Wang, A. S. Sorensen and K. Molmer “Spin squeezing in the Ising model”, Phys. Rev. A, Vol. 64, (2001), art. 053815.
  • [11] J. Liao, X.G. Wang, L.A. Wu and S.H. Pan “Real and imaginary negative binomial states”, J. Opt. B: Quantum Semiclass.Opt., Vol. 3, (2001) pp. 303–307. http://dx.doi.org/10.1088/1464-4266/3/5/303[Crossref]
  • [12] X. Wang “Coherence and squeezing in superpositions of spin coherent states”, Opt. Commun., Vol. 200, (2001), pp. 277–282. http://dx.doi.org/10.1016/S0030-4018(01)01631-5[Crossref]
  • [13] A. Sorensen and K. Molmer “Spin-spin interaction and spin squeezing in an optical lattice”, Phys. Rev. Lett., Vol. 83, (1999), pp. 2274–2277. http://dx.doi.org/10.1103/PhysRevLett.83.2274[Crossref]
  • [14] K. Helmerson and L. You “Creating massive entanglement of Bose-Einstein condensed atoms”, Phys. Rev. Lett., Vol. 87, (2001), art. 170402; Ö. E. Müstecaplioğlu, M. Zhang and L. You: “Spin squeezing and entanglement in spinor condensates”, Phys. Rev. A, Vol. 66, (2002), art. 033611; S. Yi, Ö.E. Müstecaplioğlu, C.P. Sun and L. You: “Single-mode approximation in a spinor-1 atomic condensate”, Phys. Rev. A, Vol. 66, (2002), art. 011601; Ö.E. Müstecaplioğlu, M. Zhang and L. You: “Spin squeezing and entanglement in spinor condensates”, Phys. Rev. A, Vol. 66, (2002), art. 033611.
  • [15] D. Yan, X. Wang and L.A. Wu “Spin squeezing and entanglement of many-particle spin-half states”, Chin. Phys. Lett, Vol. 22, (2005), pp. 271–274. http://dx.doi.org/10.1088/0256-307X/22/2/002[Crossref]
  • [16] D. Yan, X. Wang and L.A. Wu “Squeezing in the real and imaginary spin coherent states”, Chin. Phys. Lett, Vol. 22, (2005), pp. 521–524. http://dx.doi.org/10.1088/0256-307X/22/3/001[Crossref]
  • [17] X. Wang and B.C. Sanders “Spin squeezing and pairwise entanglement for symmetric multiqubit states”, Phys. Rev. A, Vol. 68, (2003), art. 012101. [Crossref]
  • [18] A. Sorensen, L.M. Duan, J.I. Cirac and P. Zoller “Many-particle entanglement with Bose-Einstein condensates”, Nature, Vol. 409, (2001), pp. 63–66. http://dx.doi.org/10.1038/35051038[Crossref]
  • [19] H. Barnum, E. Knill, G. Ortiz, R. Somma and L. Viola “A subsystem-independent generalization of entanglement”, Phys. Rev. Lett., Vol. 92, (2004), art. 107902.
  • [20] M.A. Can, A.A. Klyachko and A.S. Shumovsky “Single-particle entanglement”, J. Opt. B: Quant. Semiclass. Opt., Vol. 7, (2005), pp. L1–L3. http://dx.doi.org/10.1088/1464-4266/7/2/L01[Crossref]
  • [21] A.A. Klyachko and A.S. Shumovsky “General entanglement”, J. Phys: Conf. Series, Vol. 36, (2006), pp. 87–93. http://dx.doi.org/10.1088/1742-6596/36/1/015[Crossref]
  • [22] S. Binicioğlu, M. A. Can, A. A. Klyachko and A. S. Shumovsky: “Entanglement of a single spin-1 object: an example of ubiquitous entanglement”, Preprint:arXiv: quant-ph/0604182
  • [23] L. J. Song, X. Wang, D. Yan and Z. G. Zong “Spin squeezing properties in the quantum kicked top model”, J. Phys. B: At. Mol. Opt. Phys., Vol. 39, (2006), pp. 559–568. http://dx.doi.org/10.1088/0953-4075/39/3/009[Crossref]
  • [24] J. M. Radcliffe “Some properties of coherent spin states”, J. Phys. A: Gen. Phys., Vol. 4, (1971), pp. 313–323; F. T. Arecchi, E. Courtens, R. Gilmore and H. Thomas: “Atomic Coherent States in Quantum Optics”, Phys. Rev. A, Vol. 6, (1972), pp. 2211–2237; R. Gilmore, C. M. Bowden and L. M. Narducci: “Classical-quantum correspondence for multilevel systems”, Phys. Rev. A, Vol. 12, (1975), pp. 1019–1031; L. M. Narducci, C. M. Bowden, V. Bluemel, G. P. Garrazana and R. A. Tuft: “Multitime-correlation functions and the atomic coherent-state representation”, Phys. Rev. A, Vol. 11, (1975), pp. 973–980; G. S. Agarwal: “Relation between atomic coherent-state representation, state multipoles and generalized phase-space distributions”, Phys. Rev. A, Vol. 24, (1981), pp. 2889–2896. http://dx.doi.org/10.1088/0305-4470/4/3/009[Crossref]
  • [25] V. Bužek and P. L. Knight “Quantum interference, superpositions states of light and nonclassical effects”, In: E. Wolf (Ed.): Progress in Optics XXXIV, Academic Press, Amsterdam, Elsevier, 1995, pp. 12–87.
  • [26] V. V. Dodonov, S. Y. Kalmykov and V. I. Man’ko “Statistical properties of Schrödinger real and imaginary cat states", Phys. Lett. A, Vol. 199, (1995), pp. 123–130. http://dx.doi.org/10.1016/0375-9601(95)00048-8[Crossref]
  • [27] Y. J. Xia and G. C. Guo “Nonclassical properties of even and odd coherent states”, Phys. Lett. A, Vol. 136, (1989), pp. 281–283. http://dx.doi.org/10.1016/0375-9601(89)90815-3[Crossref]
  • [28] D. Stoler, B. E. A. Saleh and M. C. Teich “Binomial states of the quantized radiation field”, Opt. Acta, Vol. 32, (1985), pp. 345–355. [Crossref]

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11534-007-0029-2
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.