Quasilocal conservation laws from semicyclic irreducible representations of in XXZ spin-1/2 chains

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• 作者：Lenart Zadnik ; Marko Medenjak ; Tomaž Prosen ; ^{tomaz.prosen@fmf.uni-lj.si" class="auth_mail" title="E-mail the corresponding author}
• 刊名：Nuclear Physics B
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：902
• 期：Complete
• 页码：339-353
• 全文大小：314 K

文摘

We construct quasilocal conserved charges in the gapless (an id="mmlsi19" class="mathmlsrc">an class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0550321315004071&_mathId=si19.gif&_user=111111111&_pii=S0550321315004071&_rdoc=1&_issn=05503213&md5=9825491d6ef85890dc65875d98cc4586" title="Click to view the MathML source">|Δ|≤1an>an class="mathContainer hidden">an class="mathCode">ath altimg="si19.gif" overflow="scroll">alse">|athvariant="normal">Δalse">|≤1ath>an>an>an>) regime of the Heisenberg XXZ   spin-1/2 chain, using semicyclic irreducible representations of an id="mmlsi1" class="mathmlsrc">an class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0550321315004071&_mathId=si1.gif&_user=111111111&_pii=S0550321315004071&_rdoc=1&_issn=05503213&md5=4a948b65724344a7bddaa5bb008b8668" title="Click to view the MathML source">U_q(sl₂)an>an class="mathContainer hidden">an class="mathCode">ath altimg="si1.gif" overflow="scroll">Uqalse">(athvariant="fraktur">sl2alse">)ath>an>an>an>. These representations are characterized by a periodic action of ladder operators, which act as generators of the aforementioned algebra. Unlike previously constructed conserved charges, the new ones do not preserve magnetization, i.e. they do not possess the an id="mmlsi4" class="mathmlsrc">an class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0550321315004071&_mathId=si4.gif&_user=111111111&_pii=S0550321315004071&_rdoc=1&_issn=05503213&md5=3e3662b4a7b8ad0603251e200b54f770" title="Click to view the MathML source">U(1)an>an class="mathContainer hidden">an class="mathCode">ath altimg="si4.gif" overflow="scroll">Ualse">(1alse">)ath>an>an>an> symmetry of the Hamiltonian. The possibility of application in relaxation dynamics resulting from an id="mmlsi4" class="mathmlsrc">an class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0550321315004071&_mathId=si4.gif&_user=111111111&_pii=S0550321315004071&_rdoc=1&_issn=05503213&md5=3e3662b4a7b8ad0603251e200b54f770" title="Click to view the MathML source">U(1)an>an class="mathContainer hidden">an class="mathCode">ath altimg="si4.gif" overflow="scroll">Ualse">(1alse">)ath>an>an>an>-breaking quantum quenches is discussed.