{"id":932,"date":"2026-10-14T21:00:00","date_gmt":"2026-10-14T12:00:00","guid":{"rendered":"https:\/\/quantumsea.net\/?p=932"},"modified":"2026-10-14T07:34:41","modified_gmt":"2026-10-13T22:34:41","slug":"qs-floquet-periodic-driving-20261014","status":"publish","type":"post","link":"https:\/\/quantumsea.net\/?p=932","title":{"rendered":"Floquet\u6cd5\u3067\u5468\u671f\u99c6\u52d5\u3092\u8aad\u3080\u3001\u4e00\u5468\u671f\u5f8c\u3068\u9014\u4e2d\u306e\u72b6\u614b\u306e\u9055\u3044"},"content":{"rendered":"<p>\u540c\u3058\u5468\u671f\u3067\u99c6\u52d5\u3059\u308b\u4e8c\u3064\u306e\u91cf\u5b50\u7cfb\u3092\u3001\u4e00\u5468\u671f\u3054\u3068\u306e\u540c\u3058\u30bf\u30a4\u30df\u30f3\u30b0\u3067\u6bd4\u3079\u308b\u3068\u3001\u7d50\u679c\u304c\u4e00\u81f4\u3059\u308b\u3002\u3067\u306f\u3001\u305d\u306e\u9014\u4e2d\u3082\u540c\u3058\u3088\u3046\u306b\u52d5\u3044\u3066\u3044\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u5468\u671f\u306b\u540c\u671f\u3057\u305f\u8a18\u9332\u306f\u4fbf\u5229\u3067\u3059\u304c\u3001\u5468\u671f\u5185\u3060\u3051\u306b\u73fe\u308c\u308b\u9055\u3044\u3092\u898b\u843d\u3068\u3059\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>Floquet\uff08\u30d5\u30ed\u30b1\uff09\u6cd5\u306f\u3001\u7e70\u308a\u8fd4\u3059\u99c6\u52d5\u306e\u4e0b\u3067\u306e\u91cf\u5b50\u72b6\u614b\u3092\u3001\u300c\u4e00\u5468\u671f\u3054\u3068\u306b\u7a4d\u307f\u91cd\u306a\u308b\u5909\u5316\u300d\u3068\u300c\u5468\u671f\u5185\u3067\u7e70\u308a\u8fd4\u3059\u5909\u5316\u300d\u306b\u5206\u3051\u3066\u6271\u3044\u307e\u3059\u3002QuTiP 5.1.1\u306e\u516c\u958b\u5b9f\u88c5\u3068\u5c0f\u3055\u306a\u53ef\u89e3\u30e2\u30c7\u30eb\u304b\u3089\u3001\u6e96\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u5024\u3060\u3051\u3067\u306f\u4f55\u304c\u5206\u304b\u3089\u305a\u3001\u3069\u306e\u6642\u523b\u306e\u72b6\u614b\u3092\u6bd4\u8f03\u3059\u308c\u3070\u3088\u3044\u306e\u304b\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u3002<sup class=\"source-note\"><a href=\"#ref-1\">[1]<\/a><a href=\"#ref-2\">[2]<\/a><\/sup><\/p>\n<section class=\"influvetor-quick-summary\" aria-label=\"\u7c21\u5358\u306b\u307e\u3068\u3081\u308b\u3068\uff1f\">\n<p><strong>\u7c21\u5358\u306b\u307e\u3068\u3081\u308b\u3068\uff1f<\/strong><\/p>\n<ul>\n<li>\u6e96\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\u3001\u4e00\u5468\u671f\u306e\u6642\u9593\u767a\u5c55\u306b\u542b\u307e\u308c\u308b\u4f4d\u76f8\u306e\u9032\u307f\u3092\u8868\u3057\u307e\u3059\u3002\u305d\u306e\u77ac\u9593\u306e\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u306f\u5225\u3067\u3059\u3002<\/li>\n<li>\u4e00\u5468\u671f\u5f8c\u306e\u6642\u9593\u767a\u5c55\u304c\u540c\u3058\u4e8c\u3064\u306e\u30e2\u30c7\u30eb\u3067\u3082\u3001\u5468\u671f\u5185\u306e\u89b3\u6e2c\u5024\u306f\u9055\u3044\u5f97\u307e\u3059\u3002\u5468\u671f\u3054\u3068\u306e\u8a18\u9332\u3060\u3051\u3067\u3001\u9014\u4e2d\u306e\u72b6\u614b\u307e\u3067\u4e00\u81f4\u3057\u305f\u3068\u306f\u8a00\u3048\u307e\u305b\u3093\u3002<\/li>\n<li>\u99c6\u52d5\u306e\u5468\u671f\u3001\u6642\u9593\u306e\u539f\u70b9\u3001\u521d\u671f\u72b6\u614b\u3001\u89b3\u6e2c\u91cf\u3068\u89b3\u6e2c\u6642\u523b\u3092\u63c3\u3048\u307e\u3059\u3002QuTiP\u3067\u306f\u5468\u671f\u7684\u306a\u30e2\u30fc\u30c9\u3068\u3001\u4f4d\u76f8\u3092\u542b\u3080\u5b9f\u969b\u306e\u72b6\u614b\u3092\u533a\u5225\u3057\u3066\u8aad\u307f\u307e\u3059\u3002<\/li>\n<\/ul>\n<\/section>\n<h2>\u6e96\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\u3001\u4e00\u5468\u671f\u3067\u9032\u3080\u4f4d\u76f8\u304b\u3089\u6c42\u3081\u308b<\/h2>\n<p>\u5916\u304b\u3089\u306e\u99c6\u52d5\u304c\u5468\u671fT\u3067\u7e70\u308a\u8fd4\u3059\u306a\u3089\u3001\u91cf\u5b50\u72b6\u614b\u306e\u5909\u5316\u3092\u5b9a\u3081\u308b\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u3082<code>H(t+T)=H(t)<\/code>\u3068\u306a\u308a\u307e\u3059\u3002\u672c\u7a3f\u3067\u306f\u3001\u74b0\u5883\u3078\u306e\u6563\u9038\u3092\u542b\u3081\u306a\u3044\u9589\u3058\u305f\u7cfb\u3092\u6271\u3044\u307e\u3059\u3002Floquet\u6cd5\u3067\u306f\u3001\u305d\u306e\u72b6\u614b\u306e\u57fa\u672c\u7684\u306a\u89e3\u3092\u3001\u4e00\u5b9a\u306e\u901f\u3055\u3067\u9032\u3080\u4f4d\u76f8\u3068\u3001\u5468\u671fT\u3067\u7e70\u308a\u8fd4\u3059\u90e8\u5206\u306b\u5206\u3051\u3089\u308c\u307e\u3059\u3002\u5f8c\u8005\u3092Floquet\u30e2\u30fc\u30c9\u3001\u4f4d\u76f8\u306e\u9032\u307f\u3092\u5b9a\u3081\u308b\u91cf\u3092\u6e96\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u547c\u3073\u307e\u3059\u3002<sup class=\"source-note\"><a href=\"#ref-1\">[1]<\/a><\/sup><\/p>\n<p>\u4e00\u5468\u671f\u306e\u6642\u9593\u767a\u5c55\u3092\u307e\u3068\u3081\u305f\u6f14\u7b97\u5b50\u3092<code>U(T,0)<\/code>\u3068\u66f8\u304d\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u6642\u523b0\u306e\u72b6\u614b\u3092\u6642\u523bT\u306e\u72b6\u614b\u3078\u79fb\u3059\u50cd\u304d\u3067\u3059\u3002\u305d\u306e\u56fa\u6709\u5024\u306f\u3001\u9589\u3058\u305f\u7cfb\u3067\u306f\u5927\u304d\u30551\u306e\u8907\u7d20\u6570\u306b\u306a\u308a\u3001\u89d2\u5ea6\u304c\u4e00\u5468\u671f\u306e\u4f4d\u76f8\u306e\u9032\u307f\u3092\u8868\u3057\u307e\u3059\u3002QuTiP\u306e<code>FloquetBasis<\/code>\u3082\u3001\u4e00\u5468\u671f\u306e\u4f1d\u64ad\u3092\u8a08\u7b97\u3057\u3066\u5bfe\u89d2\u5316\u3057\u3001\u56fa\u6709\u5024\u306e\u89d2\u5ea6\u304b\u3089<code>e_quasi<\/code>\u3092\u6c42\u3081\u307e\u3059\u3002\u3053\u3053\u3067\u3044\u3046\u4f1d\u64ad\u306f\u3001\u4f4d\u7f6e\u306e\u79fb\u52d5\u306b\u9650\u3089\u305a\u3001\u91cf\u5b50\u72b6\u614b\u306e\u6642\u9593\u767a\u5c55\u3067\u3059\u3002<sup class=\"source-note\"><a href=\"#ref-2\">[2]<\/a><\/sup><\/p>\n<p>\u4e00\u5468\u3057\u30662\u03c0\u3060\u3051\u4f59\u5206\u306b\u56de\u3063\u305f\u4f4d\u76f8\u306f\u3001\u4e00\u5468\u671f\u5f8c\u306e\u8907\u7d20\u6570\u3068\u3057\u3066\u306f\u533a\u5225\u3067\u304d\u307e\u305b\u3093\u3002\u305d\u306e\u305f\u3081\u3001\u6e96\u30a8\u30cd\u30eb\u30ae\u30fc\u306b\u306f<code>\u210f\u03a9<\/code>\u306e\u6574\u6570\u500d\u3092\u52a0\u3048\u3066\u3082\u540c\u3058\u8868\u73fe\u306b\u306a\u308b\u81ea\u7531\u5ea6\u304c\u3042\u308a\u307e\u3059\u3002\u03a9\u306f\u99c6\u52d5\u306e\u89d2\u5468\u6ce2\u6570\u3067<code>\u03a9=2\u03c0\/T<\/code>\u3001\u210f\u306f\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u4f4d\u76f8\u306e\u9032\u307f\u3092\u7d50\u3076\u5b9a\u6570\u3067\u3059\u3002\u6e96\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u305a\u3089\u3057\u305f\u3068\u304d\u306f\u3001\u5468\u671f\u30e2\u30fc\u30c9\u5074\u306e\u4f4d\u76f8\u3082\u5408\u308f\u305b\u3066\u5909\u3048\u307e\u3059\u3002\u7269\u7406\u7684\u306a\u72b6\u614b\u305d\u306e\u3082\u306e\u304c\u5909\u308f\u308b\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<sup class=\"source-note\"><a href=\"#ref-1\">[1]<\/a><a href=\"#ref-2\">[2]<\/a><\/sup><\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6e96\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u3001\u305d\u306e\u77ac\u9593\u306b<code>H(t)<\/code>\u3092\u5bfe\u89d2\u5316\u3057\u3066\u5f97\u308b\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u540c\u3058\u3082\u306e\u3068\u3057\u3066\u8aad\u3080\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002\u99c6\u52d5\u6761\u4ef6\u3092\u5909\u3048\u305f\u30b0\u30e9\u30d5\u3067\u5024\u304c\u6298\u308a\u8fd4\u3057\u3066\u898b\u3048\u308b\u5834\u5408\u3082\u3001\u9078\u3093\u3060\u8868\u793a\u7bc4\u56f2\u3092\u78ba\u8a8d\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u56fa\u5b9a\u7248\u306e\u5b9f\u88c5\u306f\u8907\u7d20\u6570\u306e\u89d2\u5ea6\u306e\u4e3b\u5024\u3092\u4f7f\u3044\u3001\u4e00\u3064\u306e\u7bc4\u56f2\u3078\u6298\u308a\u8fd4\u3057\u305f\u5024\u3092\u8fd4\u3057\u307e\u3059\u3002<\/p>\n<h2>\u4e00\u5468\u671f\u5f8c\u304c\u540c\u3058\u306b\u306a\u308b\u3001\u4e8c\u3064\u306e\u99c6\u52d5\u3092\u6bd4\u3079\u308b<\/h2>\n<p>\u9055\u3044\u3092\u5177\u4f53\u7684\u306b\u898b\u308b\u305f\u3081\u3001\u72b6\u614b0\u30681\u3092\u6301\u3064\u4e8c\u6e96\u4f4d\u7cfb\u3092\u7528\u610f\u3057\u307e\u3059\u3002\u6700\u521d\u306f\u4e21\u8005\u3092\u540c\u3058\u91cd\u307f\u3067\u91cd\u306d\u305f<code>|+\u27e9=(|0\u27e9+|1\u27e9)\/\u221a2<\/code>\u3068\u3057\u307e\u3059\u3002\u89b3\u6e2c\u3059\u308b\u306e\u306f\u3001\u540c\u3058<code>|+\u27e9<\/code>\u3068\u3057\u3066\u5f97\u3089\u308c\u308b\u78ba\u7387\u3067\u3059\u30020\u30fb1\u305d\u308c\u305e\u308c\u306e\u78ba\u7387\u3060\u3051\u3067\u306f\u306a\u304f\u3001\u4e8c\u3064\u306e\u6210\u5206\u306e\u4f4d\u76f8\u306e\u95a2\u4fc2\u306b\u5fdc\u3058\u3066\u5909\u308f\u308b\u91cf\u3092\u9078\u3073\u307e\u3059\u3002<\/p>\n<p>\u8aac\u660e\u7528\u306e\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u306f<code>H(t)\/\u210f=[\u03c9\u2080+A cos(\u03a9t)]Z\/2<\/code>\u3067\u3059\u3002Z\u306f0\u306e\u6210\u5206\u306b+1\u30011\u306e\u6210\u5206\u306b\u22121\u3092\u639b\u3051\u308b\u6f14\u7b97\u5b50\u3001\u03c9\u2080\u306f\u4e00\u5b9a\u306e\u6210\u5206\u3001A\u306f\u5468\u671f\u7684\u306b\u52a0\u3048\u308b\u6210\u5206\u306e\u632f\u5e45\u3067\u3059\u3002\u03c9\u2080\u3001A\u3001\u03a9\u306f\u540c\u3058\u89d2\u5468\u6ce2\u6570\u306e\u5358\u4f4d\u3067\u63c3\u3048\u3001\u03a9\u306f\u6b63\u3068\u3057\u307e\u3059\u3002\u3053\u3053\u3067\u306f<code>\u03c9\u2080=\u03a9\/4<\/code>\u3068\u3057\u3001\u5468\u671f\u6210\u5206\u3092\u52a0\u3048\u306a\u3044<code>A=0<\/code>\u3068\u3001\u52a0\u3048\u308b<code>A=\u03a9<\/code>\u3092\u6bd4\u8f03\u3057\u307e\u3059\u3002\u5b9f\u6a5f\u306e\u30d1\u30eb\u30b9\u3084\u6e2c\u5b9a\u5024\u3092\u6307\u5b9a\u3057\u305f\u3082\u306e\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u3053\u306e\u30e2\u30c7\u30eb\u3067\u306f\u3001\u4e8c\u6210\u5206\u306e\u9593\u306b\u7a4d\u307f\u91cd\u306a\u308b\u4f4d\u76f8\u5dee\u306f<code>\u0394(t)=\u03c9\u2080t+(A\/\u03a9)sin(\u03a9t)<\/code>\u3067\u3059\u3002\u5f93\u3063\u3066\u3001\u8abf\u3079\u305f\u3044\u78ba\u7387\u306f<code>P\u208a(t)=[1+cos\u0394(t)]\/2<\/code>\u3068\u306a\u308a\u307e\u3059\u3002\u4e00\u5468\u671f\u306e\u6574\u6570\u500d\u3067\u306fsin\u306e\u9805\u304c0\u306b\u306a\u308b\u306e\u3067\u3001\u4e21\u30e2\u30c7\u30eb\u306e\u6642\u9593\u767a\u5c55\u306f\u4e00\u81f4\u3057\u307e\u3059\u3002\u4e00\u65b9\u3001\u305d\u306e\u9593\u3067\u306fsin\u306e\u9805\u304c\u6b8b\u308a\u3001\u78ba\u7387\u304c\u5909\u308f\u308a\u307e\u3059\u3002<\/p>\n<div style=\"width:720px;max-width:100%;margin:1.5em auto;overflow-x:auto;\">\n<table style=\"width:100%;min-width:600px;border-collapse:collapse;\">\n<caption>\u540c\u3058\u521d\u671f\u72b6\u614b\u304b\u3089\u51fa\u767a\u3057\u305f\u3068\u304d\u306eP\u208a\u3002Quantum Sea\u306b\u3088\u308b\u72ec\u7acb\u8a08\u7b97\u3001\u6570\u5024\u306f\u5c0f\u6570\u7b2c4\u4f4d\u307e\u3067\u3002<\/caption>\n<thead>\n<tr>\n<th scope=\"col\" style=\"padding:10px;text-align:left;\">\u89b3\u6e2c\u3059\u308b\u6642\u523b<\/th>\n<th scope=\"col\" style=\"padding:10px;text-align:left;\">\u5468\u671f\u6210\u5206\u306a\u3057 A=0<\/th>\n<th scope=\"col\" style=\"padding:10px;text-align:left;\">\u5468\u671f\u6210\u5206\u3042\u308a A=\u03a9<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"padding:10px;\">0<\/td>\n<td style=\"padding:10px;\">1.0000<\/td>\n<td style=\"padding:10px;\">1.0000<\/td>\n<\/tr>\n<tr>\n<td style=\"padding:10px;\">T\/4<\/td>\n<td style=\"padding:10px;\">0.9619<\/td>\n<td style=\"padding:10px;\">0.5886<\/td>\n<\/tr>\n<tr>\n<td style=\"padding:10px;\">T\/2<\/td>\n<td style=\"padding:10px;\">0.8536<\/td>\n<td style=\"padding:10px;\">0.8536<\/td>\n<\/tr>\n<tr>\n<td style=\"padding:10px;\">3T\/4<\/td>\n<td style=\"padding:10px;\">0.6913<\/td>\n<td style=\"padding:10px;\">0.9921<\/td>\n<\/tr>\n<tr>\n<td style=\"padding:10px;\">T<\/td>\n<td style=\"padding:10px;\">0.5000<\/td>\n<td style=\"padding:10px;\">0.5000<\/td>\n<\/tr>\n<tr>\n<td style=\"padding:10px;\">2T<\/td>\n<td style=\"padding:10px;\">0.0000<\/td>\n<td style=\"padding:10px;\">0.0000<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>\u72ed\u3044\u753b\u9762\u3067\u306f\u8868\u3092\u6a2a\u306b\u30b9\u30af\u30ed\u30fc\u30eb\u3067\u304d\u307e\u3059\u3002\u9589\u3058\u305f\u5f62\u306e\u5f0f\u3068\u306f\u5225\u306b\u3001Schr\u00f6dinger\u65b9\u7a0b\u5f0f\u3092\u6570\u5024\u7a4d\u5206\u3057\u3066\u7167\u5408\u3057\u307e\u3057\u305f\u3002QuTiP\u672c\u4f53\u3084\u91cf\u5b50\u88c5\u7f6e\u3092\u5b9f\u884c\u3057\u305f\u7d50\u679c\u3067\u306f\u306a\u304f\u3001\u6307\u5b9a\u3057\u305f\u4e8c\u6e96\u4f4d\u30e2\u30c7\u30eb\u306e\u72ec\u7acb\u691c\u7b97\u3067\u3059\u3002<\/p>\n<p>\u3053\u306e\u4e8c\u3064\u306e\u30e2\u30c7\u30eb\u3067\u306f\u3001\u4e00\u5468\u671f\u306e\u6f14\u7b97\u5b50\u81ea\u4f53\u304c\u540c\u3058\u3067\u3001\u6e96\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u4ee3\u8868\u5024\u3082<code>\u00b1\u210f\u03a9\/8<\/code>\u3067\u4e00\u81f4\u3057\u307e\u3059\u3002\u305d\u308c\u3067\u3082\u3001T\/4\u306e\u78ba\u7387\u306f\u7d040.96\u3068\u7d040.59\u30013T\/4\u3067\u306f\u7d040.69\u3068\u7d040.99\u306b\u5206\u304b\u308c\u307e\u3059\u3002\u306a\u304a\u3001\u4e00\u822c\u306b\u306f\u6e96\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u5024\u3060\u3051\u304c\u4e00\u81f4\u3057\u3066\u3082\u3001\u5bfe\u5fdc\u3059\u308b\u56fa\u6709\u72b6\u614b\u304c\u9055\u3048\u3070\u3001\u4e00\u5468\u671f\u306e\u6f14\u7b97\u5b50\u307e\u3067\u540c\u3058\u3068\u306f\u9650\u308a\u307e\u305b\u3093\u3002\u3053\u3053\u3067\u306f\u6f14\u7b97\u5b50\u306e\u4e00\u81f4\u3082\u5225\u306b\u78ba\u304b\u3081\u3066\u3044\u307e\u3059\u3002<\/p>\n<p>\u307e\u305f\u3001\u99c6\u52d5\u304c\u5468\u671fT\u3067\u7e70\u308a\u8fd4\u3059\u304b\u3089\u3068\u3044\u3063\u3066\u3001\u72b6\u614b\u3082\u6bce\u56de\u540c\u3058\u72b6\u614b\u3078\u623b\u308b\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u8868\u3067\u3082\u78ba\u7387\u306f0\u3001T\u30012T\u30671\u30010.5\u30010\u3068\u5909\u308f\u3063\u3066\u3044\u307e\u3059\u3002\u5468\u671f\u30e2\u30fc\u30c9\u304c\u7e70\u308a\u8fd4\u3059\u3053\u3068\u3068\u3001\u305d\u306e\u4e0a\u306b\u7a4d\u307f\u91cd\u306a\u308b\u4f4d\u76f8\u3092\u542b\u3080\u72b6\u614b\u304c\u7e70\u308a\u8fd4\u3059\u3053\u3068\u306f\u5225\u3067\u3059\u3002<\/p>\n<h2>\u5468\u671f\u30e2\u30fc\u30c9\u304b\u3089\u3001\u89b3\u6e2c\u3059\u308b\u72b6\u614b\u3078\u623b\u3059<\/h2>\n<p>QuTiP 5.1.1\u3067\u306f\u3001<code>FloquetBasis.mode(t)<\/code>\u306f\u6642\u523b\u3092\u5468\u671fT\u3067\u6298\u308a\u8fd4\u3057\u3066\u3001\u5468\u671f\u7684\u306a\u30e2\u30fc\u30c9\u3092\u8fd4\u3057\u307e\u3059\u3002\u4e00\u65b9\u3001<code>state(t)<\/code>\u306f\u305d\u3053\u3078\u6e96\u30a8\u30cd\u30eb\u30ae\u30fc\u306b\u5bfe\u5fdc\u3059\u308b\u4f4d\u76f8\u306e\u9032\u307f\u3092\u639b\u3051\u307e\u3059\u3002\u95a2\u6570\u540d\u304c\u4f3c\u3066\u3044\u3066\u3082\u3001\u8fd4\u3059\u3082\u306e\u306e\u5f79\u5272\u306f\u7570\u306a\u308a\u307e\u3059\u3002<sup class=\"source-note\"><a href=\"#ref-2\">[2]<\/a><a href=\"#ref-3\">[3]<\/a><\/sup><\/p>\n<p>\u4efb\u610f\u306e\u521d\u671f\u72b6\u614b\u3092\u6271\u3046\u3068\u304d\u306f\u3001\u521d\u671f\u72b6\u614b\u3092Floquet\u306e\u57fa\u5e95\u3078\u5206\u89e3\u3057\u3001\u5fc5\u8981\u306a\u6642\u523b\u306e\u72b6\u614b\u3092\u5143\u306e\u57fa\u5e95\u3078\u623b\u3057\u3066\u304b\u3089\u89b3\u6e2c\u91cf\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u540c\u7248\u306b\u306f<code>to_floquet_basis<\/code>\u3068<code>from_floquet_basis<\/code>\u304c\u3042\u308a\u3001<code>fsesolve<\/code>\u3082\u3053\u306e\u6d41\u308c\u3092\u4f7f\u3063\u3066\u3044\u307e\u3059\u3002\u4fc2\u6570\u3084\u6e96\u30a8\u30cd\u30eb\u30ae\u30fc\u3060\u3051\u3092\u53d6\u308a\u51fa\u3057\u3066\u3001\u5468\u671f\u5185\u3067\u5909\u308f\u308b\u30e2\u30fc\u30c9\u3092\u843d\u3068\u3059\u3068\u3001\u5148\u307b\u3069\u306eT\/4\u306e\u3088\u3046\u306a\u9055\u3044\u3092\u518d\u73fe\u3067\u304d\u307e\u305b\u3093\u3002<sup class=\"source-note\"><a href=\"#ref-2\">[2]<\/a><\/sup><\/p>\n<p>\u6e21\u3059T\u306f\u3001\u898b\u305f\u3044\u8a08\u7b97\u6642\u9593\u306e\u9577\u3055\u3067\u306f\u306a\u304f\u3001\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u304c\u7e70\u308a\u8fd4\u3059\u5468\u671f\u3067\u3059\u3002\u78ba\u8a8d\u3057\u305f<code>fsesolve<\/code>\u306fT\u3092\u7701\u7565\u3057\u305f\u5834\u5408\u3001\u6700\u5f8c\u306e\u51fa\u529b\u6642\u523b\u3092\u5468\u671f\u3068\u3057\u3066\u4f7f\u3046\u305f\u3081\u3001\u9577\u3044\u6642\u9593\u533a\u9593\u3092\u8a08\u7b97\u3059\u308b\u306a\u3089\u5b9f\u969b\u306e\u5468\u671f\u3092\u660e\u793a\u3059\u308b\u3053\u3068\u304c\u5927\u5207\u3067\u3059\u3002\u51fa\u529b\u6642\u523b\u3082\u3001\u4e00\u5468\u671f\u3054\u3068\u3060\u3051\u304c\u5fc5\u8981\u306a\u306e\u304b\u3001\u5468\u671f\u5185\u306e\u7279\u5b9a\u306e\u30bf\u30a4\u30df\u30f3\u30b0\u304c\u5fc5\u8981\u306a\u306e\u304b\u3092\u3001\u8aad\u307f\u305f\u3044\u73fe\u8c61\u306b\u5408\u308f\u305b\u3066\u9078\u3073\u307e\u3059\u3002<sup class=\"source-note\"><a href=\"#ref-2\">[2]<\/a><\/sup><\/p>\n<h2>\u300c\u5e73\u5747\u3059\u308c\u3070\u3088\u3044\u300d\u3068\u5e83\u3052\u306a\u3044\u305f\u3081\u306e\u6761\u4ef6<\/h2>\n<p>\u4eca\u56de\u306e\u4f8b\u306f\u3001\u7570\u306a\u308b\u6642\u523b\u306e\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u304c\u3059\u3079\u3066\u540c\u3058Z\u306b\u6bd4\u4f8b\u3059\u308b\u3001\u7279\u5225\u306b\u89e3\u304d\u3084\u3059\u3044\u30e2\u30c7\u30eb\u3067\u3059\u3002\u6642\u9593\u767a\u5c55\u306e\u9806\u5e8f\u3092\u5165\u308c\u66ff\u3048\u3066\u3082\u7d50\u679c\u304c\u5909\u308f\u3089\u306a\u3044\u306e\u3067\u3001\u5468\u671f\u6210\u5206\u306e\u4e00\u5468\u671f\u306e\u7a4d\u5206\u304c0\u306b\u306a\u308b\u3053\u3068\u3092\u3001\u305d\u306e\u307e\u307e\u4f7f\u3048\u307e\u3057\u305f\u3002\u7570\u306a\u308b\u65b9\u5411\u306e\u4f5c\u7528\u3092\u7d44\u307f\u5408\u308f\u305b\u3001\u9806\u5e8f\u3067\u7d50\u679c\u304c\u5909\u308f\u308b\u4e00\u822c\u306e\u99c6\u52d5\u3067\u306f\u3001\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u3092\u5358\u7d14\u306b\u6642\u9593\u5e73\u5747\u3057\u3066\u540c\u3058\u7d50\u679c\u306b\u306a\u308b\u3068\u306f\u9650\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u6bd4\u8f03\u3059\u308b\u3068\u304d\u306f\u3001\u5468\u671f\u3068\u99c6\u52d5\u306e\u958b\u59cb\u4f4d\u76f8\u3001\u521d\u671f\u72b6\u614b\u3001\u89b3\u6e2c\u91cf\u3001\u89b3\u6e2c\u6642\u523b\u3092\u63c3\u3048\u307e\u3059\u3002\u6bce\u5468\u671f\u306e\u72b6\u614b\u3092\u77e5\u308a\u305f\u3044\u306a\u3089\u4e00\u5468\u671f\u306e\u6f14\u7b97\u5b50\u304c\u51fa\u767a\u70b9\u306b\u306a\u308a\u307e\u3059\u304c\u3001\u9014\u4e2d\u3067\u64cd\u4f5c\u3084\u6e2c\u5b9a\u3092\u884c\u3046\u306a\u3089\u3001\u305d\u306e\u6642\u523b\u306e\u30e2\u30fc\u30c9\u3068\u72b6\u614b\u3082\u5fc5\u8981\u3067\u3059\u3002\u6e96\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u56f3\u3060\u3051\u3067\u7d50\u8ad6\u3092\u51fa\u3055\u305a\u3001\u5b9f\u969b\u306b\u4f7f\u3046\u30bf\u30a4\u30df\u30f3\u30b0\u3067\u4f55\u304c\u89b3\u6e2c\u3055\u308c\u308b\u304b\u307e\u3067\u623b\u3057\u3066\u6bd4\u3079\u307e\u3059\u3002<\/p>\n<p>\u3055\u3089\u306b\u3001\u672c\u7a3f\u306f\u9589\u3058\u305f\u7cfb\u306e\u8a71\u3067\u3059\u3002\u74b0\u5883\u306b\u3088\u308b\u7de9\u548c\u307e\u3067\u542b\u3081\u308b\u306b\u306f\u3001\u99c6\u52d5\u4e0b\u3067\u306e\u74b0\u5883\u3068\u306e\u7d50\u5408\u3084\u8fd1\u4f3c\u3092\u5225\u306b\u78ba\u8a8d\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002QuTiP\u306b\u306fFloquet-Markov\u306e\u6a5f\u80fd\u3082\u3042\u308a\u307e\u3059\u304c\u3001\u3053\u306e\u4e8c\u6e96\u4f4d\u306e\u6bd4\u8f03\u3060\u3051\u3067\u3001\u305d\u306e\u8fd1\u4f3c\u3084\u5b9f\u6a5f\u306e\u640d\u5931\u307e\u3067\u691c\u8a3c\u3057\u305f\u3053\u3068\u306b\u306f\u306a\u308a\u307e\u305b\u3093\u3002<sup class=\"source-note\"><a href=\"#ref-1\">[1]<\/a><a href=\"#ref-2\">[2]<\/a><\/sup><\/p>\n<h2>\u53c2\u8003\u8cc7\u6599<\/h2>\n<p style=\"overflow-wrap:anywhere;word-break:break-word;\">QuTiP 5.1.1\u306e\u56fa\u5b9a\u30b3\u30df\u30c3\u30c87accc77a70a08f965a29fdd13515f79cdcab9703\u30685.1\u7cfb\u516c\u5f0f\u6587\u66f8\u30922026\u5e7410\u670814\u65e5\u306b\u78ba\u8a8d\u3057\u307e\u3057\u305f\u3002\u6700\u65b0\u7248\u4e00\u822c\u306e\u8a55\u4fa1\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u672c\u6587\u306e\u5f0f\u3068\u8868\u306fQuantum Sea\u306b\u3088\u308b\u72ec\u7acb\u8a08\u7b97\u3067\u3001\u901f\u5ea6\u5411\u4e0a\u3084\u5b9f\u6a5f\u6027\u80fd\u306e\u5b9f\u8a3c\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002QuTiP\u3078\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u3092\u6e21\u3059\u969b\u306e\u210f=1\u306e\u8868\u8a18\u3067\u306f\u3001\u6e96\u30a8\u30cd\u30eb\u30ae\u30fc\u306b\u5bfe\u5fdc\u3059\u308b\u5024\u306f\u89d2\u5468\u6ce2\u6570\u306e\u5358\u4f4d\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ol style=\"overflow-wrap:anywhere;word-break:break-word;\">\n<li id=\"ref-1\">QuTiP 5.1 Documentation, <a href=\"https:\/\/qutip.readthedocs.io\/en\/qutip-5.1.x\/guide\/dynamics\/dynamics-floquet.html\">Floquet Formalism<\/a>\u3002\u5468\u671f\u30e2\u30fc\u30c9\u3001\u6e96\u30a8\u30cd\u30eb\u30ae\u30fc\u3001\u4e00\u5468\u671f\u306e\u4f1d\u64ad\u6f14\u7b97\u5b50\u3068\u3001\u9589\u3058\u305f\u7cfb\u30fb\u6563\u9038\u7cfb\u306e\u533a\u5225\u3002<\/li>\n<li id=\"ref-2\">QuTiP 5.1.1, <a href=\"https:\/\/github.com\/qutip\/qutip\/blob\/7accc77a70a08f965a29fdd13515f79cdcab9703\/qutip\/solver\/floquet.py\">floquet.py<\/a>\u3002FloquetBasis\u306e\u521d\u671f\u5316\u3001mode\/state\u3001\u57fa\u5e95\u5909\u63db\u3001fsesolve\u306e\u5468\u671f\u6307\u5b9a\u3092\u53c2\u7167\u3002\u30b3\u30fc\u30c9\u306e\u5229\u7528\u6761\u4ef6\u306f<a href=\"https:\/\/github.com\/qutip\/qutip\/blob\/7accc77a70a08f965a29fdd13515f79cdcab9703\/LICENSE.txt\">BSD 3-Clause<\/a>\u3002<\/li>\n<li id=\"ref-3\">QuTiP 5.1 API, <a href=\"https:\/\/qutip.readthedocs.io\/en\/qutip-5.1.x\/apidoc\/solver.html#qutip.solver.floquet.FloquetBasis\">FloquetBasis<\/a>\u3002\u4e00\u5468\u671f\u306e\u4f1d\u64ad\u3001\u6e96\u30a8\u30cd\u30eb\u30ae\u30fc\u3001\u6642\u523b\u3092\u6307\u5b9a\u3059\u308b\u57fa\u5e95\u5909\u63db\u306e\u5165\u51fa\u529b\u3002<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u540c\u3058\u5468\u671f\u3067\u99c6\u52d5\u3059\u308b\u4e8c\u3064\u306e\u91cf\u5b50\u7cfb\u3092\u3001\u4e00\u5468\u671f\u3054\u3068\u306e\u540c\u3058\u30bf\u30a4\u30df\u30f3\u30b0\u3067\u6bd4\u3079\u308b\u3068\u3001\u7d50\u679c\u304c\u4e00\u81f4\u3059\u308b\u3002\u3067\u306f\u3001\u305d\u306e\u9014\u4e2d\u3082\u540c\u3058\u3088\u3046\u306b\u52d5\u3044\u3066\u3044\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u5468\u671f\u306b\u540c\u671f\u3057\u305f\u8a18\u9332\u306f\u4fbf\u5229\u3067\u3059\u304c\u3001\u5468\u671f\u5185\u3060\u3051\u306b\u73fe\u308c\u308b\u9055\u3044\u3092\u898b\u843d\u3068\u3059\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002  [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":929,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":true,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":false,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[30],"tags":[254,21,184],"class_list":["post-932","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-computing","tag-floquet-theory","tag-21","tag-quantum-computers"],"jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/quantumsea.net\/wp-content\/uploads\/2026\/10\/qs-floquet-periodic-driving-20261014-featured-970f392c0310.png","_links":{"self":[{"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/posts\/932","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/quantumsea.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=932"}],"version-history":[{"count":1,"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/posts\/932\/revisions"}],"predecessor-version":[{"id":934,"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/posts\/932\/revisions\/934"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/media\/929"}],"wp:attachment":[{"href":"https:\/\/quantumsea.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=932"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/quantumsea.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=932"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/quantumsea.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=932"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}