{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,29]],"date-time":"2022-03-29T22:51:25Z","timestamp":1648594285839},"reference-count":16,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2016,4]]},"abstract":"<jats:p> Application of the Hadamard and related transforms on a few generalized quantum baker\u2019s maps have been studied. Effectiveness of the Hadamard transform and a new transform which combines the Fourier and the Hadamard transforms, for simplifying the eigenstates or resonances of the quantization of a few generalized baker\u2019s map namely tetradic baker and lazy baker\u2019s map when the Hilbert space dimension is power of [Formula: see text] has been done by comparing the participation ratios in the transformed basis with respect to the position basis. Several special family of states based on their maximal compression in either Hadamard transform or the new transform are identified and they are related to the ubiquitous Thue\u2013Morse and allied sequences. Evidence is provided that these special family of states as well as average over all eigenstates exhibits multifractal nature. <\/jats:p>","DOI":"10.1142\/s0218127416500577","type":"journal-article","created":{"date-parts":[[2016,5,5]],"date-time":"2016-05-05T08:18:02Z","timestamp":1462436282000},"page":"1650057","source":"Crossref","is-referenced-by-count":0,"title":["The Analysis of Eigenstates of a Few Generalized Quantum Baker\u2019s Maps Using Hadamard and Related Transforms"],"prefix":"10.1142","volume":"26","author":[{"given":"N.","family":"Meenakshisundaram","sequence":"first","affiliation":[{"name":"Centre for Nonlinear Science and Engineering and School of Electrical and Electronics Engineering, SASTRA University, Thanjavur 613401, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2016,5,5]]},"reference":[{"key":"S0218127416500577BIB001","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511546563"},{"key":"S0218127416500577BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4916(89)90259-5"},{"key":"S0218127416500577BIB003","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.74.046205"},{"key":"S0218127416500577BIB004","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/23\/16\/024"},{"key":"S0218127416500577BIB005","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.33.1141"},{"key":"S0218127416500577BIB006","doi-asserted-by":"publisher","DOI":"10.1006\/aphy.1993.1073"},{"key":"S0218127416500577BIB007","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/38\/37\/L01"},{"key":"S0218127416500577BIB008","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/39\/36\/006"},{"key":"S0218127416500577BIB009","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.71.065303"},{"key":"S0218127416500577BIB010","first-page":"69","volume-title":"Nonlinear Systems and Dynamics","author":"Meenakshisundaram N.","year":"2006"},{"key":"S0218127416500577BIB012","volume-title":"Quantum Computing and Quantum Information","author":"Nielsen M. A.","year":"2000"},{"key":"S0218127416500577BIB013","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.79.016215"},{"key":"S0218127416500577BIB014","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4916(90)90367-W"},{"key":"S0218127416500577BIB015","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(05)80007-7"},{"key":"S0218127416500577BIB016","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-22246-1"},{"key":"S0218127416500577BIB017","volume-title":"Chaos and Integrability in Nonlinear Dynamics: An Introduction","author":"Tabor M.","year":"1989"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127416500577","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T04:27:50Z","timestamp":1565152070000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127416500577"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,4]]},"references-count":16,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2016,5,5]]},"published-print":{"date-parts":[[2016,4]]}},"alternative-id":["10.1142\/S0218127416500577"],"URL":"https:\/\/doi.org\/10.1142\/s0218127416500577","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,4]]}}}