Quantum quenches to a critical point in one dimension: some further results
Quantum quenches to a critical point in one dimension: some further results
复制标题
量子淬火到一维的临界点：一些进一步的结果
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
J. Cardy
中科院分区：
文献类型：
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作者：
J. Cardy
我们描述了几个关于全局量子猝灭的结果，从具有短程相关的状态到量子临界点，其低能性质由1 + 1维共形场论（CFT）描述，扩展了Calabrese和Cardy （2006 Phys）的工作。(a)对于文中所讨论的一类特殊初始态，我们证明了，一旦一个有限区域落在视界内，它的约简密度矩阵在L2范数上指数地接近热吉布斯态的密度矩阵；(b)这种初始态的小变形通常会导致（非阿贝尔）广义吉布斯分布，但可能存在准介子守恒电荷；(c) CFT的小变形，对应于色散关系的曲率和（不可积的）左右散射，导致传播速度依赖于初始状态，以及视界的扩散展宽。
We describe several results concerning global quantum quenches from states with short-range correlations to quantum critical points whose low-energy properties are described by a 1 + 1-dimensional conformal field theory (CFT), extending the work of Calabrese and Cardy (2006 Phys. Rev. Lett. 96 136801): (a) for the special class of initial states discussed in that paper we show that, once a finite region falls inside the horizon, its reduced density matrix is exponentially close in L2 norm to that of a thermal Gibbs state; (b) small deformations of this initial state in general lead to a (non-Abelian) generalized Gibbs distribution with, however, the possibility of parafermionic conserved charges; (c) small deformations of the CFT, corresponding to curvature of the dispersion relation and (non-integrable) left-right scattering, lead to a dependence of the speed of propagation on the initial state, as well as diffusive broadening of the horizon.
影响因子：
8.6
作者：
Bonnes, Lars;Essler, Fabian H. L.;Lauchli, Andreas M.
通讯作者：
Lauchli, Andreas M.
影响因子：
8.6
作者：
Caux, Jean-Sebastien;Essler, Fabian H. L.
通讯作者：
Essler, Fabian H. L.