{"id":15,"date":"2024-11-13T11:33:30","date_gmt":"2024-11-13T02:33:30","guid":{"rendered":"https:\/\/www-p.sci.ocha.ac.jp\/deguchilab-test\/?page_id=15"},"modified":"2024-11-21T10:36:58","modified_gmt":"2024-11-21T01:36:58","slug":"research-integrable","status":"publish","type":"page","link":"https:\/\/www-p.sci.ocha.ac.jp\/deguchilab\/research\/research-integrable\/","title":{"rendered":"\u53ef\u7a4d\u5206\u91cf\u5b50\u7cfb"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">\u53ef\u7a4d\u5206\u91cf\u5b50\u591a\u4f53\u7cfb\u306e\u975e\u5e73\u8861\u30c0\u30a4\u30ca\u30df\u30af\u30b9<\/h2>\n\n\n\n<h2 class=\"wp-block-heading\">\u7814\u7a76\u80cc\u666f-\u5b64\u7acb\u91cf\u5b50\u591a\u4f53\u7cfb\u306e\u7de9\u548c-<\/h2>\n\n\n\n<p>\u6700\u8fd1\u3001\u51b7\u5374\u539f\u5b50\u7cfb\u306e\u5b9f\u9a13\u7814\u7a76\u304c\u767a\u5c55\u3059\u308b\u4e2d\u3067\u3001\u5b64\u7acb\u3057\u305f\u4e00\u6b21\u5143\u30dc\u30fc\u30b9\u6c17\u4f53\u306e\u6642\u9593\u767a\u5c55\u304c\u89b3\u6e2c\u3055\u308c\u3001\u30dc\u30fc\u30b9\u7c92\u5b50\u306e\u96c6\u56e3\u304c\u632f\u52d5\u3059\u308b\u3068\u3044\u3046\u8208\u5473\u6df1\u3044\u73fe\u8c61[K] \u304c\u89b3\u5bdf\u3055\u308c\u305f\u3002\u3053\u306e\u5b9f\u9a13\u3092\u4e00\u3064\u306e\u5951\u6a5f\u3068\u3057\u3066\u3001\u5b64\u7acb\u91cf\u5b50\u7cfb\u306e\u6642\u9593\u767a\u5c55\u306b\u95a2\u5fc3\u304c\u96c6\u307e\u308a\u3001\u975e\u53ef\u7a4d\u5206\u91cf\u5b50\u7cfb\u3084\u53ef\u7a4d\u5206\u91cf\u5b50\u7cfb\u306e\u7d14\u7c8b\u72b6\u614b\u306e\u6642\u9593\u767a\u5c55\u304c\u591a\u304f\u306e\u7814\u7a76\u8005\u306b\u3088\u3063\u3066\u8abf\u3079\u3089\u308c\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<p>\u975e\u53ef\u7a4d\u5206\u91cf\u5b50\u7cfb\u306e\u5834\u5408\u3001\u5b64\u7acb\u7cfb\u306e\u7d14\u7c8b\u72b6\u614b\u306e\u6642\u9593\u767a\u5c55\u3067\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u306f\u5909\u5316\u3057\u306a\u3044\u306b\u3082\u304b\u304b\u308f\u3089\u305a\u3001\u5c40\u6240\u7684\u306a\u7269\u7406\u91cf\u306e\u72b6\u614b\u671f\u5f85\u5024\u306f\u30df\u30af\u30ed\u30ab\u30ce\u30cb\u30ab\u30eb\u5206\u5e03\u306b\u3088\u308b\u71b1\u5e73\u8861\u5024\u306b\u6f38\u8fd1\u3059\u308b\u3053\u3068\u304c\u3001\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u7b49\u3067\u8abf\u3079\u3089\u308c\u3001\u5b9a\u6027\u7684\u306a\u8b70\u8ad6\u3067\u3082\u793a\u5506\u3055\u308c\u3066\u3044\u308b\u3002\u5f93\u6765\u306e\u5e38\u8b58\u3067\u306f\u3001\u6563\u9038\u306e\u306a\u3044\u5b64\u7acb\u91cf\u5b50\u7cfb\u304c\u5e73\u8861\u72b6\u614b\u3078\u6f38\u8fd1\u3059\u308b\u3053\u3068\u306f\u671f\u5f85\u3067\u304d\u306a\u3044\u3002\u4e00\u65b9\u3001\u91cf\u5b50\u72b6\u614b\u306e\u5178\u578b\u6027(typicality)\u304a\u3088\u3073\u56fa\u6709\u72b6\u614b\u71b1\u5316\u306e\u4eee\u8aac(eigenstate thermalization hypotheis, ETH) \u306e\u8996\u70b9\u306b\u7acb\u3064\u3068\u3001\u5b64\u7acb\u7cfb\u3067\u3042\u3063\u3066\u3082\u6642\u9593\u767a\u5c55\u3067\u71b1\u5316\u3042\u308b\u3044\u306f\u5e73\u8861\u5316\u304c\u793a\u5506\u3055\u308c\u308b\u3002\u5b9f\u969b\u3001Lebowitz \u9054\u306b\u3088\u3063\u3066\u3001von Neumann \u306e\u91cf\u5b50\u30a8\u30eb\u30b4\u2015\u30c9\u6027\u306b\u95a2\u3059\u308b\u5b9a\u7406(1929) \u304c\u6700\u8fd1\u518d\u767a\u898b\u3055\u308c\u305f\u3002\u3053\u3046\u3057\u3066\u4eca\u3067\u306f\u3001\u91cf\u5b50\u72b6\u614b\u306e\u5178\u578b\u6027\u306e\u8003\u3048\u65b9\u306fvon Neumann\u306b\u9061\u308b\u3068\u8a00\u3048\u308b\u3002\u3057\u304b\u3057\u3001\u4e00\u822c\u306e\u91cf\u5b50\u591a\u4f53\u7cfb\u306e\u9ad8\u7cbe\u5ea6\u304b\u3064\u9577\u6642\u9593\u306e\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u306e\u5b9f\u884c\u306f\u5bb9\u6613\u3067\u306a\u304f\u3001\u7814\u7a76\u72b6\u6cc1\u306f\u7814\u7a76\u958b\u59cb\u5f53\u521d\u306f\u3082\u3068\u3088\u308a\u3001\u73fe\u5728\u3067\u3082\u672a\u3060\u306b\u6df7\u6c8c\u3068\u3057\u3066\u3044\u308b\u3068\u8a00\u3048\u308b\u3067\u3042\u308d\u3046\u3002<\/p>\n\n\n\n<p>\u3055\u3089\u306b\u3001\u53ef\u7a4d\u5206\u91cf\u5b50\u7cfb\u306e\u5b64\u7acb\u7cfb\u306e\u5834\u5408\u306b\u306f\u3001\u5e73\u8861\u5316\u306b\u3088\u3063\u3066\u4e00\u822c\u5316\u3055\u308c\u305f\u30ae\u30d6\u30b9\u5206\u5e03(generalized Gibbs ensemble, GGE)\u306b\u6f38\u8fd1\u3059\u308b[R]\u3001\u3068\u3044\u3046\u8208\u5473\u6df1\u3044\u4eee\u8aac\u304c\u63d0\u6848\u3055\u308c\u305f\u3002\u53ef\u7a4d\u5206\u91cf\u5b50\u7cfb\u3067\u306f\u7279\u5225\u306a\u521d\u671f\u72b6\u614b\u3092\u9078\u3079\u3070\u3001\u6642\u9593\u767a\u5c55\u3092\u9577\u6642\u9593\u306b\u308f\u305f\u3063\u3066\u8ffd\u8de1\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002\u305d\u3053\u3067\u3001\u591a\u304f\u306e\u7814\u7a76\u8005\u304cGGE\u4eee\u8aac\u306e\u691c\u8a3c\u306b\u6311\u6226\u3057\u3066\u3044\u308b\u3002\u3044\u304f\u3064\u304b\u306e\u53ef\u7a4d\u5206\u91cf\u5b50\u7cfb\u306b\u5bfe\u3057\u3066\u3001\u69d8\u3005\u306a\u521d\u671f\u72b6\u614b\u3067\u6642\u9593\u767a\u5c55\u304c\u8abf\u3079\u3089\u308c\u305f\u3002\u305d\u306e\u7d50\u679c\u3001\u73fe\u5728\u3067\u306fGGE\u306e\u4eee\u8aac\u306b\u5bfe\u3059\u308b\u53cd\u4f8b\u3082\u77e5\u3089\u308c\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>T.Kinoshita, T.Wenger and D.S.Weiss, Nature&nbsp;<b>440<\/b>, 900 (2006).<\/li>\n\n\n\n<li>M.Rigol, V.Dunjko, V.Yurovsky and M.Olshanii, Phys. Rev. Lett.&nbsp;<b>96<\/b>, 050405 (2007).<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">\u7de9\u548c\u3084\u518d\u5e30\u6027\u306a\u3069\u91cf\u5b50\u30c0\u30a4\u30ca\u30df\u30af\u30b9\u306e\u7279\u5fb4\u306e\u89e3\u660e<\/h2>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>\u53ef\u7a4d\u5206\u91cf\u5b50\u591a\u4f53\u7cfb\u306e\u6642\u9593\u767a\u5c55\u3092\u7269\u7406\u91cf\u6f14\u7b97\u5b50\u306e\u671f\u5f85\u5024\u3092\u6570\u5024\u7684\u306b\u8a08\u7b97\u3057\u3066\u8abf\u3079\u3001\u7de9\u548c\u73fe\u8c61\u3084\u518d\u5e30\u7684\u632f\u308b\u821e\u3044\u306e\u69d8\u5b50\u3092\u660e\u3089\u304b\u306b\u3057\u305f\u3002\u3055\u3089\u306b\u975e\u53ef\u7a4d\u5206\u91cf\u5b50\u30b9\u30d4\u30f3\u7cfb\u306e\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3068\u6bd4\u8f03\u3057\u3066\u3001\u89b3\u5bdf\u3055\u308c\u305f\u91cf\u5b50\u30c0\u30a4\u30ca\u30df\u30af\u30b9\u306e\u7279\u5fb4\u7684\u632f\u308b\u821e\u3044\u304c\u666e\u904d\u7684\u304b\u3069\u3046\u304b\u3092\u660e\u3089\u304b\u306b\u3057\u305f\u3002<\/p>\n\n\n\n<p><b>\u03b4\u95a2\u6570\u578b\u76f8\u4e92\u4f5c\u7528\u30dc\u30fc\u30b9\u6c17\u4f53\u306e\u5b64\u7acb\u5c40\u5728\u6ce2\u89e3\u306e\u7279\u5fb4\u3065\u3051 [2, 7, 8, 10, 11]<\/b><\/p>\n\n\n\n<p>\u65a5\u529b\u306e\u30c7\u30eb\u30bf\u95a2\u6570\u578b\u76f8\u4e92\u4f5c\u7528\u3092\u3082\u30641\u6b21\u5143\u30dc\u30fc\u30b9\u6c17\u4f53\u306b\u304a\u3044\u3066\u3001\u30db\u30fc\u30eb\u52b1\u8d77\u3092\u91cd\u306d\u5408\u308f\u305b\u308b\u3068\u3001\u5bc6\u5ea6\u30d7\u30ed\u30d5\u30a1\u30a4\u30eb\u306f\u7a7a\u9593\u7684\u306b\u4e00\u69d8\u3067\u306a\u304f\u3001\u5bc6\u5ea6\u306e\u5024\u304c\u6025\u6fc0\u306b\u6e1b\u5c11\u3059\u308b\u5c40\u5728\u9818\u57df\u3092\u6301\u3064\u91cf\u5b50\u72b6\u614b\u304c\u5c0e\u304b\u308c\u308b\u3053\u3068\u304c\u3001\u672c\u7814\u7a76\u3068\u5bc6\u63a5\u306b\u95a2\u4fc2\u3059\u308b\u5171\u540c\u7814\u7a76\u306e\u4e2d\u3067\u660e\u3089\u304b\u306b\u3055\u308c\u305f\u3002\u305d\u306e\u5bc6\u5ea6\u30d7\u30ed\u30d5\u30a1\u30a4\u30eb\u306f\u3042\u305f\u304b\u3082GP\u65b9\u7a0b\u5f0f\u306e\u30c0\u30fc\u30af\u30bd\u30ea\u30c8\u30f3\u89e3\u306e\u632f\u5e45\u3068\u540c\u3058\u3088\u3046\u306a\u5f62\u3067\u3042\u3063\u305f[8]\u3002\u3053\u306e\u767a\u898b\u3092\u5b9a\u5f0f\u5316\u3057\u3001\u4e00\u822c\u5316\u3092\u8a66\u307f\u305f\u3002 \u65a5\u529b\u03b4\u95a2\u6570\u578b\u76f8\u4e92\u4f5c\u7528\u306e1\u6b21\u5143\u30dc\u30fc\u30b9\u6c17\u4f53(Lieb-Liniger \u6a21\u578b)\u306b\u304a\u3044\u3066\u3001\u5f31\u7d50\u5408\u9818\u57df\u3067\u306f\u3001\u91cf\u5b50\u72b6\u614b\u306f\u53e4\u5178\u7684\u306b\u632f\u308b\u821e\u3044\u3001Gross-Pitaevskii\u65b9\u7a0b\u5f0f(\u975e\u7dda\u5f62\u30b7\u30e5\u30ec\u30fc\u30c7\u30a3\u30f3\u30ac\u2015\u65b9\u7a0b\u5f0f)\u3067\u8a18\u8ff0\u3055\u308c\u308b\u3053\u3068\u304c\u660e\u3089\u304b\u306b\u306a\u3063\u305f[11]\u3002\u3059\u306a\u308f\u3061\u3001\u5f62\u72b6\u56e0\u5b50\u516c\u5f0f\u3092\u7528\u3044\u3066\u3053\u306e\u5c40\u5728\u91cf\u5b50\u72b6\u614b\u306e\u5bc6\u5ea6\u30d7\u30ed\u30d5\u30a1\u30a4\u30eb\u3092\u6c42\u3081\u305f\u3068\u3053\u308d\u30011\u30bd\u30ea\u30c8\u30f3\u89e3\u306e\u632f\u5e45\u306e\u30d7\u30ed\u30d5\u30a1\u30a4\u30eb\u3068\u307b\u307c\u5b8c\u5168\u306b\u4e00\u81f4\u3057\u305f\u3002\u305f\u3060\u3057\u3001\u5468\u671f\u7684\u5883\u754c\u6761\u4ef6\u306e\u305f\u3081\u30bd\u30ea\u30c8\u30f3\u89e3\u306f\u6955\u5186\u95a2\u6570\u89e3\u3067\u3042\u308b\u3002\u307e\u305f\u3001\u30db\u30fc\u30eb\u52b1\u8d77\u89e3\u306e\u91cd\u306d\u5408\u308f\u305b\u306e\u91cf\u5b50\u72b6\u614b\u306b\u95a2\u3057\u3066\u3001N\u7c92\u5b50\u306e\u72b6\u614b\u3068N-1\u7c92\u5b50\u306e\u72b6\u614b\u3092\u6c42\u3081\u3001\u3053\u306e\u4e8c\u3064\u306e\u72b6\u614b\u306b\u95a2\u3059\u308b\u91cf\u5b50\u5834\u306e\u6f14\u7b97\u5b50\u306e\u884c\u5217\u8981\u7d20\u3092\u6c42\u3081\u305f\u3068\u3053\u308d\u3001\u305d\u306e\u632f\u5e45\u3068\u4f4d\u76f8\u306f1\u30bd\u30ea\u30c8\u30f3\u89e3\u306e\u3082\u306e\u306b\u975e\u5e38\u306b\u826f\u304f\u4e00\u81f4\u3059\u308b\u3053\u3068\u304c\u5206\u304b\u3063\u305f[11]\u3002<\/p>\n\n\n\n<p>\u91cf\u5b50XXX\u9396\u306e\u5c40\u6240\u78c1\u5316\u306e\u5f62\u72b6\u56e0\u5b50\u516c\u5f0f\u306fKitanine et al. (1999) \u3067\u5c0e\u304b\u308c\u3066\u3044\u305f\u304c\u3001\u6570\u5024\u7684\u306b\u5b89\u5b9a\u3067\u306a\u304b\u3063\u305f\u3002Slavnov \u306e\u884c\u5217\u5f0f\u304b\u3089Cauchy \u884c\u5217\u5f0f\u3092\u5206\u96e2\u3057\u3001\u6f38\u8fd1\u7684\u306b\u30d5\u30ec\u30c3\u30c9\u30db\u30eb\u30e0\u884c\u5217\u5f0f\u306b\u53ce\u675f\u3059\u308b\u884c\u5217\u5f0f\u306e\u5f62\u306b\u3053\u306e\u5f62\u72b6\u56e0\u5b50\u516c\u5f0f\u3092\u6539\u826f\u3057\u305f\u3002\u30b9\u30d4\u30ce\u30f3\u72b6\u614b\u306e\u548c\u3067\u4e0e\u3048\u3089\u308c\u308b\u91cf\u5b50\u72b6\u614b\u306b\u5bfe\u3057\u3066\u3001\u5c40\u6240\u78c1\u5316\u306e\u6642\u9593\u767a\u5c55\u3092\u6c42\u3081\u305f\u3002<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"268\" height=\"468\" src=\"https:\/\/www-p.sci.ocha.ac.jp\/deguchilab-test\/wp-content\/uploads\/sites\/47\/2024\/11\/1dbosegas-1.png\" alt=\"\" class=\"wp-image-264\" srcset=\"https:\/\/www-p.sci.ocha.ac.jp\/deguchilab\/wp-content\/uploads\/sites\/47\/2024\/11\/1dbosegas-1.png 268w, https:\/\/www-p.sci.ocha.ac.jp\/deguchilab\/wp-content\/uploads\/sites\/47\/2024\/11\/1dbosegas-1-172x300.png 172w, https:\/\/www-p.sci.ocha.ac.jp\/deguchilab\/wp-content\/uploads\/sites\/47\/2024\/11\/1dbosegas-1-14x24.png 14w, https:\/\/www-p.sci.ocha.ac.jp\/deguchilab\/wp-content\/uploads\/sites\/47\/2024\/11\/1dbosegas-1-21x36.png 21w, https:\/\/www-p.sci.ocha.ac.jp\/deguchilab\/wp-content\/uploads\/sites\/47\/2024\/11\/1dbosegas-1-27x48.png 27w\" sizes=\"auto, (max-width: 268px) 100vw, 268px\" \/><\/figure>\n<\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\">\u518d\u5e30\u6642\u9593\u306e\u6570\u5024\u7684\u8a55\u4fa1<\/h2>\n\n\n\n<p>\u53ef\u7a4d\u5206\u91cf\u5b50\u7cfb\u306e\u52b1\u8d77\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u6c42\u3081\u3066\u518d\u5e30\u6642\u9593\u3092\u6570\u5024\u7684\u306b\u63a8\u6e2c\u3057\u3001\u6642\u9593\u767a\u5c55\u306e\u7d50\u679c\u3068\u6bd4\u8f03\u3059\u308b\u3002\u5177\u4f53\u7684\u306b\u306f\u3001\u65a5\u529b\u306e\u30c7\u30eb\u30bf\u95a2\u6570\u578b\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u3067\u76f8\u4e92\u4f5c\u7528\u3059\u308b1\u6b21\u5143\u30dc\u30fc\u30b9\u6c17\u4f53\u306e\u69d8\u3005\u306a\u91cf\u5b50\u72b6\u614b\u306b\u95a2\u3057\u3066\u3001\u6642\u9593\u767a\u5c55\u3057\u305f\u72b6\u614b\u3068\u521d\u671f\u72b6\u614b\u306e\u76f8\u95a2(\u30d5\u30a3\u30c7\u30ea\u30c6\u30a3\u30fc)\u3092\u6570\u5024\u7684\u306b\u8abf\u3079\u3066\u3001\u518d\u5e30\u6642\u9593\u3092\u6c42\u3081\u305f\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u8fd1\u85e4\u6a21\u578b\u3084\u53ef\u7a4d\u5206\u9ad8\u6b21\u30b9\u30d4\u30f3XXZ\u9396\u306e\u91cf\u5b50\u30c0\u30a4\u30ca\u30df\u30af\u30b9<\/h2>\n\n\n\n<p>\u78c1\u6027\u4e0d\u7d14\u7269\u306e\u53b3\u5bc6\u89e3\u3067\u3042\u308b\u8fd1\u85e4\u6a21\u578b\u306e\u6642\u9593\u76f8\u95a2\u95a2\u6570\u306e\u89e3\u6790\u7684\u8868\u793a\u3092\u5c0e\u304d\u3001\u4e0d\u7d14\u7269\u30b9\u30d4\u30f3\u306e\u91cf\u5b50\u30c0\u30a4\u30ca\u30df\u30af\u30b9\u306e\u7279\u5fb4\u3092\u89e3\u660e\u3059\u308b\u3002\u3055\u3089\u306b\u3001\u53ef\u7a4d\u5206\u9ad8\u6b21\u30b9\u30d4\u30f3XXZ\u9396\u306e\u7d76\u5bfe\u96f6\u5ea6\u306b\u304a\u3051\u308b\u6642\u9593\u76f8\u95a2\u95a2\u6570\u306e\u89e3\u6790\u7684\u8868\u73fe\u3092\u5c0e\u304f\u3002\u5f8c\u8005\u306f\u524d\u8005\u306e\u62e1\u5f35\u6a21\u578b\u306b\u76f8\u5f53\u3057\u3001\u4e0d\u7d14\u7269\u30b9\u30d4\u30f3\u306e\u5927\u304d\u3055\u304c\u7570\u306a\u308b\u8fd1\u85e4\u6a21\u578b\u306e\u53b3\u5bc6\u89e3\u306a\u3069\u304c\u5c0e\u304b\u308c\u308b\u3002\u78c1\u6027\u4e0d\u7d14\u7269\u30b9\u30d4\u30f3\u306e\u30c0\u30a4\u30ca\u30df\u30af\u30b9\u3092\u660e\u3089\u304b\u306b\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u8fd1\u85e4\u554f\u984c\u306a\u3069\u4e0d\u7d14\u7269\u3092\u542b\u3080\u53ef\u7a4d\u5206\u91cf\u5b50\u7cfb\u306e\u89e3\u3068\u3057\u3066\u3001\u4e0d\u7d14\u7269\u30b5\u30a4\u30c8\u3092\u6301\u3064\u91cf\u5b50XXZ\u9396\u306e\u53b3\u5bc6\u89e3\u3092\u5c0e\u3044\u305f[6]\u3002XXZ\u9396\u4e2d\u306e\u4e0d\u7d14\u7269\u306f1\u6b21\u5143\u30e9\u30c3\u30c6\u30a3\u30f3\u30b8\u30e3\u30fc\u6d41\u4f53\u4e2d\u306e\u4e0d\u7d14\u7269\u306b\u5bfe\u5fdc\u3057\u3001\u666e\u904d\u6027\u30af\u30e9\u30b9\u306f\u30e9\u30c3\u30c6\u30a3\u30f3\u30b8\u30e3\u30fc\u6d41\u4f53\u30d1\u30e9\u30e1\u30bf\u30fc\u3067\u8868\u3055\u308c\u308b\u3068\u4e88\u60f3\u3055\u308c\u308b\u3002\u57fa\u5e95\u72b6\u614b\u306b\u5bfe\u3059\u308b\u30d9\u30fc\u30c6\u4eee\u8aac\u65b9\u7a0b\u5f0f\u3092\u89e3\u304d\u3001\u30a6\u30a3\u30fc\u30ca\u30fc\u30db\u30c3\u30d7\u6cd5\u3092\u7a4d\u5206\u7bc4\u56f2\u304c\u975e\u5bfe\u79f0\u306a\u5834\u5408\u306b\u62e1\u5f35\u3057\u3001\u7d76\u5bfe\u96f6\u5ea6\u3067\u306e\u4e0d\u7d14\u7269\u78c1\u5316\u7387\u306e\u89e3\u6790\u7684\u8868\u5f0f\u3092\u6c42\u3081\u305f\u3002\u305d\u3057\u3066\u4f4e\u6e29\u3067\u306e\u4e0d\u7d14\u7269\u6bd4\u71b1\u3092\u71b1\u529b\u5b66\u7684\u30d9\u30fc\u30c6\u4eee\u8aac\u65b9\u7a0b\u5f0f\u306e\u6570\u5024\u89e3\u304b\u3089\u6c42\u3081\u305f\u3002\u666e\u904d\u6027\u30af\u30e9\u30b9\u3092\u8868\u3059\u30a6\u30a3\u30eb\u30bd\u30f3\u6bd4\u306e\u89e3\u6790\u7684\u8868\u5f0f\u304c\u5c0e\u304b\u308c\u3001\u5171\u5f62\u5834\u7406\u8ad6\u306e\u4e88\u60f3\u3068\u4e00\u81f4\u3057\u305f\u3002XXZ\u9396\u306edressed charge\u3064\u307e\u308a\u5171\u5f62\u5834\u306e\u30b3\u30f3\u30d1\u30af\u30c8\u5316\u534a\u5f84\u3067\u8868\u3055\u308c\u308b\u3002\u3055\u3089\u306b\u4ee3\u6570\u7684\u30d9\u30fc\u30c6\u4eee\u8aac\u3092\u7528\u3044\u3066\u5c40\u6240\u78c1\u5316\u6f14\u7b97\u5b50\u306e\u671f\u5f85\u5024\u3092\u76f4\u63a5\u8a08\u7b97\u3057\u3001\u6709\u9650\u78c1\u5834\u4e0b\u3067\u306e\u4e0d\u7d14\u7269\u78c1\u5316\u306e\u89e3\u6790\u7684\u8868\u5f0f\u3092\u5c0e\u3044\u305f\u3002\u5f93\u6765\u306e\u8fd1\u85e4\u554f\u984c\u306e\u53b3\u5bc6\u89e3\u3067\u306f\u3001\u30d9\u30fc\u30c6\u4eee\u8aac\u65b9\u7a0b\u5f0f\u306b\u57fa\u3065\u304f\u7269\u7406\u7684\u306a\u8b70\u8ad6\u3067\u4e0d\u7d14\u7269\u78c1\u5316\u3092\u5c0e\u51fa\u3057\u3066\u3044\u305f\u304c\u3001\u4e0a\u3067\u6c42\u3081\u305f\u5f93\u6765\u306e\u65b9\u6cd5\u3067\u306e\u7d50\u679c\u3068\u4e00\u81f4\u3057\u305f\u3002\u4ee3\u6570\u7684\u30d9\u30fc\u30c6\u4eee\u8aac\u3067\u5f93\u6765\u306e\u65b9\u6cd5\u306e\u6b63\u5f53\u6027\u304c\u88cf\u4ed8\u3051\u3089\u308c\u305f[6]\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u91cf\u5b50XXX\u9396\u306e\u30d9\u30fc\u30c6\u4eee\u8aac\u65b9\u7a0b\u5f0f\u306e\u89e3\u306e\u63a2\u7d22<\/h2>\n\n\n\n<p>1\u6b21\u5143\u91cf\u5b50\u30cf\u30a4\u30bc\u30f3\u30d9\u30eb\u30b0\u6a21\u578b(\u91cf\u5b50XXX\u9396)\u306b\u304a\u3044\u3066\u3001\u4efb\u610f\u306b\u4e0e\u3048\u3089\u308c\u305f\u91cf\u5b50\u72b6\u614b\u3092\u521d\u671f\u6642\u523b\u306e\u91cf\u5b50\u72b6\u614b\u3068\u3057\u3066\u51fa\u767a\u3059\u308b\u6642\u9593\u767a\u5c55\u3092\u8ffd\u8de1\u3059\u308b\u305f\u3081\u306b\u306f\u3001\u4e0e\u3048\u3089\u308c\u305f\u521d\u671f\u91cf\u5b50\u72b6\u614b\u3092\u30d9\u30fc\u30c6\u56fa\u6709\u72b6\u614b\u306e\u91cd\u306d\u5408\u308f\u305b\u3068\u3057\u3066\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u308c\u3070\u826f\u3044\u3002\u305d\u306e\u305f\u3081\u306b\u306f\u3001\u6709\u9650\u30b5\u30a4\u30ba\u306e\u9396\u4e0a\u306b\u5b9a\u7fa9\u3055\u308c\u305f\u91cf\u5b50XXX\u9396\u306e\u3059\u3079\u3066\u306e\u30d9\u30fc\u30c6\u56fa\u6709\u72b6\u614b\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u91cd\u8981\u3067\u3042\u308b\u3002\u3053\u306e\u305f\u3081\u3001\u8907\u7d20\u675f\u7e1b\u89e3(\u30b9\u30c8\u30ea\u30f3\u30b0\u89e3)\u3082\u542b\u3081\u3066\u6709\u9650\u30b5\u30a4\u30ba\u7cfb\u306e\u30d9\u30fc\u30c6\u4eee\u8aac\u65b9\u7a0b\u5f0f\u306e\u5168\u3066\u306e\u89e3\u3092\u6570\u5024\u7684\u306b\u6c42\u3081\u308b\u3053\u3068\u304c\u3001\u91cd\u8981\u306a\u6280\u8853\u7684\u306a\u8ab2\u984c\u306e\u4e00\u3064\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u683c\u5b50\u70b9\u657012\u306e\u5834\u5408\u306bXXX\u9396\u306e\u30d9\u30fc\u30c6\u4eee\u8aac\u65b9\u7a0b\u5f0f\u306e\u89e3\u3092\u5168\u3066\u6c42\u3081\u305f\u3002\u7279\u306b\u89e3\u306b\u5bfe\u5fdc\u3059\u308b\u30d9\u30fc\u30c6\u91cf\u5b50\u6570\u3092\u5168\u3066\u6c42\u3081\u305f[1]\u3002\u5c40\u6240\u78c1\u5316\u306e\u5f62\u72b6\u56e0\u5b50\u306e\u6539\u826f\u516c\u5f0f\u306b\u3053\u306e\u6570\u5024\u89e3\u3092\u4ee3\u5165\u3059\u308b\u3068\u3001\u8907\u7d20\u6570\u5024\u675f\u7e1b\u89e3\u306a\u3069\u4efb\u610f\u306e\u30d9\u30fc\u30c6\u56fa\u6709\u72b6\u614b\u306e\u91cd\u306d\u5408\u308f\u305b\u3067\u8868\u3055\u308c\u308b\u3069\u306e\u3088\u3046\u306a\u91cf\u5b50\u72b6\u614b\u306b\u5bfe\u3057\u3066\u3082\u3001\u7269\u7406\u91cf\u6f14\u7b97\u5b50\u306e\u72b6\u614b\u671f\u5f85\u5024\u306e\u6642\u9593\u767a\u5c55\u3092\u5c0e\u304f\u3053\u3068\u304c\u3067\u304d\u308b\u3002<\/p>\n\n\n\n<p>\u683c\u5b50\u70b9\u657012\u306e\u6709\u9650\u30b5\u30a4\u30ba\u306e\u7cfb\u3067\u3042\u3063\u3066\u3082\u3001\u30d9\u30fc\u30c6\u4eee\u8aac\u65b9\u7a0b\u5f0f\u306e\u89e3\u3068\u305d\u308c\u3089\u306b\u5bfe\u5fdc\u3059\u308b\u30d9\u30fc\u30c6\u91cf\u5b50\u6570\u304c\u5168\u3066\u6c42\u3081\u3089\u308c\u305f\u3053\u3068\u306f\u3001\u4eca\u5f8c\u3001\u3055\u3089\u306b\u5927\u304d\u306a\u30b5\u30a4\u30ba\u306e\u7cfb\u306b\u5bfe\u3057\u3066\u30d9\u30fc\u30c6\u4eee\u8aac\u65b9\u7a0b\u5f0f\u306e\u6570\u5024\u89e3\u3092\u6c42\u3081\u308b\u4e0a\u3067\u6307\u91dd\u3068\u306a\u308a\u3001\u975e\u5e38\u306b\u5f79\u7acb\u3064\u3067\u3042\u308d\u3046\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>P.R.Giri and T.Deguchi, Heisenberg Model and Rigged Configurations, J. Stat. Mech. (2015).<\/li>\n\n\n\n<li>\u51fa\u53e3\u54f2\u751f\u3001\u4f50\u85e4\u7d14\u3001\u4e0a\u897f\u6167\u7406\u5b50\u3001\u53ef\u7a4d\u5206\u91cf\u5b50\u591a\u4f53\u7cfb\u306e\u975e\u5e73\u8861\u30c0\u30a4\u30ca\u30df\u30af\u30b9\u3068\u7d71\u8a08\u529b\u5b66\u306e\u57fa\u790e\u3001\u65e5\u672c\u7269\u7406\u5b66\u4f1a\u8a8c Vol.70 No. 6(2015)419-426.<\/li>\n\n\n\n<li>P.R.Giri and T.Deguchi, Singular eigenstates in the even (odd) length Heisenberg spin chain, J. Phys. A: Math. Theor. Vol.48,175207(2015).<\/li>\n\n\n\n<li>T.Deguchi and P.R.Giri, Non Self-conjugate Strings, Singular Strings and Rigged Configurations in the Heisenberg Model, J. Stat. Mech. (2015) P02004.<\/li>\n\n\n\n<li>E.Kaminishi, J.Sato and T.Deguchi, Recurrence Time in the Quantum Dynamics of the 1D Bose Gas, J. Phys. Soc. Jpn. Vol. 84, 064002 (2015).<\/li>\n\n\n\n<li>R.Yahagi, J.Sato and T.Deguchi, Finite-temperature behavior of an impurity in the spin-1\/2 XXZ chain, J. Stat. Mech. (2014) P11020.<\/li>\n\n\n\n<li>E.Kaminishi, J.Sato, T.Deguchi, Exact quantum dynamics of yrast states in the finite 1D Bose gas, J. Phys.: Conference Series Vol. 497 (2014) 012030.<\/li>\n\n\n\n<li>J.Sato, R.Kanamoto, E.Kaminishi, and T.Deguchi, Exact Relaxation Dynamics of a Localized Many-Body State in the 1D Bose Gas, Phys. Rev. Lett. Vol. 108, 110401 (2012).<\/li>\n\n\n\n<li>T.Deguchi, Reduction formula of form factors for the integrable spin-s XXZ chains and application to correlation functions, J. Stat. Mech. (2012) P04001<\/li>\n\n\n\n<li>J.Sato, E.Kaminishi, and T.Deguchi, Finite-size scaling behavior of Bose- Einstein condensation in the 1D Bose Gas, arXiv:1303.2775<\/li>\n\n\n\n<li>J.Sato, R.Kanamoto, E.Kaminishi, and T.Deguchi, Quantum dark solitons in the 1D Bose Gas and the superfluid velocity, arXiv:1204.3960.<\/li>\n<\/ul>\n\n\n\n<p>\u203b[10] \u3068[11]\u306f\u672a\u51fa\u7248\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u53ef\u7a4d\u5206\u91cf\u5b50\u591a\u4f53\u7cfb\u306e\u975e\u5e73\u8861\u30c0\u30a4\u30ca\u30df\u30af\u30b9 \u7814\u7a76\u80cc\u666f-\u5b64\u7acb\u91cf\u5b50\u591a\u4f53\u7cfb\u306e\u7de9\u548c- \u6700\u8fd1\u3001\u51b7\u5374\u539f\u5b50\u7cfb\u306e\u5b9f\u9a13\u7814\u7a76\u304c\u767a\u5c55\u3059\u308b\u4e2d\u3067\u3001\u5b64\u7acb\u3057\u305f\u4e00\u6b21\u5143\u30dc\u30fc\u30b9\u6c17\u4f53\u306e\u6642\u9593\u767a\u5c55\u304c\u89b3\u6e2c\u3055\u308c\u3001\u30dc\u30fc\u30b9\u7c92\u5b50\u306e\u96c6\u56e3\u304c\u632f\u52d5\u3059\u308b\u3068\u3044\u3046\u8208\u5473\u6df1\u3044\u73fe\u8c61[K] \u304c\u89b3\u5bdf\u3055 &hellip; <a href=\"https:\/\/www-p.sci.ocha.ac.jp\/deguchilab\/research\/research-integrable\/\">\u7d9a\u304d\u3092\u8aad\u3080 <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":43,"featured_media":260,"parent":13,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"page_deguchi.php","meta":{"footnotes":""},"class_list":["post-15","page","type-page","status-publish","has-post-thumbnail","hentry"],"_links":{"self":[{"href":"https:\/\/www-p.sci.ocha.ac.jp\/deguchilab\/wp-json\/wp\/v2\/pages\/15","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www-p.sci.ocha.ac.jp\/deguchilab\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www-p.sci.ocha.ac.jp\/deguchilab\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www-p.sci.ocha.ac.jp\/deguchilab\/wp-json\/wp\/v2\/users\/43"}],"replies":[{"embeddable":true,"href":"https:\/\/www-p.sci.ocha.ac.jp\/deguchilab\/wp-json\/wp\/v2\/comments?post=15"}],"version-history":[{"count":6,"href":"https:\/\/www-p.sci.ocha.ac.jp\/deguchilab\/wp-json\/wp\/v2\/pages\/15\/revisions"}],"predecessor-version":[{"id":265,"href":"https:\/\/www-p.sci.ocha.ac.jp\/deguchilab\/wp-json\/wp\/v2\/pages\/15\/revisions\/265"}],"up":[{"embeddable":true,"href":"https:\/\/www-p.sci.ocha.ac.jp\/deguchilab\/wp-json\/wp\/v2\/pages\/13"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www-p.sci.ocha.ac.jp\/deguchilab\/wp-json\/wp\/v2\/media\/260"}],"wp:attachment":[{"href":"https:\/\/www-p.sci.ocha.ac.jp\/deguchilab\/wp-json\/wp\/v2\/media?parent=15"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}