Sensitivity to small perturbations in systems of large quantum spins

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dc.AffiliationOctober University for modern sciences and Arts (MSA)
dc.contributor.authorA. Elsayed, Tarek
dc.contributor.authorV. Fine, Boris
dc.date.accessioned2020-02-26T09:23:45Z
dc.date.available2020-02-26T09:23:45Z
dc.date.issued2015
dc.descriptionMSA Google Scholaren_US
dc.description.abstractWe investigate the sensitivity of nonintegrable large-spin quantum lattices to small perturbations with a particular focus on the time reversal experiments known in statistical physics as “Loschmidt echoes” and in nuclear magnetic resonance (NMR) as “magic echoes.” Our numerical simulations of quantum spin-7 1 2 clusters indicate that there is a regime, where Loschmidt echoes exhibit nearly exponential sensitivity to small perturbations with characteristic constant approximately equal to twice the value of the largest Lyapunov exponent of the corresponding classical spin clusters. The above theoretical results are verifiable by NMR experiments on solids containing large-spin nuclei.en_US
dc.description.sponsorshipIOP Publishingen_US
dc.description.urihttps://www.scimagojr.com/journalsearch.php?q=29122&tip=sid&clean=0
dc.identifier.citation[1] S. Chaudhury, A. Smith, B. Anderson, S. Ghose, and P. Jessen, Nature 461, 768 (2009). [2] L. Benet, T. H. Seligman, and H. A. Weidenm¨uller, Phys. Rev. Lett. 71, 529 (1993). [3] P. G. Silvestrov, J. Tworzyd lo, and C. W. J. Beenakker, Phys. Rev. E 67, 025204 (2003). [4] D. A. Wisniacki, E. G. Vergini, H. M. Pastawski, and F. M. Cucchietti, Phys. Rev. E 65, 055206 (2002). [5] R. Bl¨umel, Phys. Rev. Lett. 73, 428 (1994). [6] R. Vilela Mendes, Journal of Physics A: Mathematical and General 24, 4349 (1991). [7] R. Schack and C. M. Caves, Phys. Rev. Lett. 71, 525 (1993). [8] P. Gaspard, M. E. Briggs, M. K. Francis, J. V. Sengers, R. W. Gammon, J. R. Dorfman, and R. V. Calabrese, Nature 394, 865 (1998). [9] C. P. Dettmann, E. G. D. Cohen, and H. van Beijeren, Nature 401, 875 (1999). [10] P. Grassberger and T. Schreiber, Nature 401, 875 (1999). [11] F. Cecconi, M. Cencini, M. Falcioni, and A. Vulpiani, Chaos 15, 026102 (2005). [12] T. A. Elsayed, B. Hess, and B. V. Fine, Phys. Rev. E 90, 022910 (2014). [13] B. V. Fine, J. Stat. Phys. 112, 319 (2003). [14] B. V. Fine, Int. J. Mod. Phys. B 18, 1119 (2004). [15] B. V. Fine, Phys. Rev. Lett. 94, 247601 (2005). [16] S. W. Morgan, B. V. Fine, and B. Saam, Phys. Rev. Lett. 101, 067601 (2008). [17] E. G. Sorte, B. V. Fine, and B. Saam, Phys. Rev. B 83, 064302 (2011). [18] B. Meier, J. Kohlrautz, and J. Haase, Phys. Rev. Lett. 108, 177602 (2012). [19] A. S. de Wijn, B. Hess, and B. V. Fine, Phys. Rev. Lett. 109, 034101 (2012). [20] A. de Wijn, B. Hess, and B. Fine, Journal of Physics A: Mathematical and Theoretical 46, 254012 (2013). [21] B. V. Fine, T. A. Elsayed, C. M. Kropf, and A. S. de Wijn, Phys. Rev. E 89, 012923 (2014). [22] H. M. Pastawski, P. R. Levstein, G. Usaj, J. Raya, and J. Hirschinger, Physica A: Statistical Mechanics and its Applications 283, 166 (2000). [23] W.-K. Rhim, A. Pines, and J. S. Waugh, Phys. Rev. B 3, 684 (1971). [24] C. P. Slichter, Principles of magnetic resonance, Vol. 1 (Springer, 1990). [25] L. G. Yaffe, Rev. Mod. Phys. 54, 407 (1982). [26] E. Lieb, Communications in Mathematical Physics 31, 327 (1973). [27] J. Fr¨ohlich, A. Knowles, and E. Lenzmann, Letters in Mathematical Physics 82, 275 (2007). [28] T. A. Elsayed and B. V. Fine, Physical Review Letters 110, 070404 (2013). [29] C. Bartsch and J. Gemmer, Phys. Rev. Lett. 102, 110403 (2009).en_US
dc.identifier.urihttps://t.ly/ndWKY
dc.language.isoenen_US
dc.publisherIOP Publishingen_US
dc.relation.ispartofseriesPhysica Scripta;Volume: 2015 Issue: T165 Pages: 1-4
dc.subjectUniversity of Large quantum spinsen_US
dc.titleSensitivity to small perturbations in systems of large quantum spinsen_US
dc.typeArticleen_US

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