Universal properties of dissipative Tomonaga-Luttinger liquids: Case study of a non-Hermitian XXZ spin chain
Universal properties of dissipative Tomonaga-Luttinger liquids: Case study of a non-Hermitian XXZ spin chain
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DOI：
10.1103/physrevb.105.205125
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发表时间：
2021-12
影响因子：
3.7
通讯作者：
Kazuki Yamamoto;Masaya Nakagawa;Masaki Tezuka;Masahito Ueda;N. Kawakami
中科院分区：
文献类型：
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作者：
Kazuki Yamamoto;Masaya Nakagawa;Masaki Tezuka;Masahito Ueda;N. Kawakami
我们证明了耗散Tomonaga-Luttinger（TL）液体的普遍性质，通过计算相关函数和进行有限尺寸标度分析的非厄米特XXZ自旋链作为一个原型模型在一维开放量子多体系统。我们的分析计算是基于玻色化的有效场论，有限尺寸标度方法在共形场论，和贝特安奈解。我们的数值分析是基于密度矩阵重整化群推广到非厄米特系统（NH-DMRG）。我们发现，在弱耗散的无质量制度的模型属于普适类特征的复值TL参数，这是与复杂的推广的$c=1$共形场论。随着耗散强度的增加，由NH-DMRG得到的TL参数的值开始偏离由Bethe-Anglerian分析得到的那些，表明该模型变得庞大的强耗散。我们的结果可以用超冷原子的两组分玻色-哈伯德系统进行检验。
We demonstrate the universal properties of dissipative Tomonaga-Luttinger (TL) liquids by calculating correlation functions and performing finite-size scaling analysis of a non-Hermitian XXZ spin chain as a prototypical model in one-dimensional open quantum many-body systems. Our analytic calculation is based on effective field theory with bosonization, finite-size scaling approach in conformal field theory, and the Bethe-ansatz solution. Our numerical analysis is based on the density-matrix renormalization group generalized to non-Hermitian systems (NH-DMRG). We uncover that the model in the massless regime with weak dissipation belongs to the universality class characterized by the complex-valued TL parameter, which is related to the complex generalization of the $c=1$ conformal field theory. As the dissipation strength increases, the values of the TL parameter obtained by the NH-DMRG begin to deviate from those obtained by the Bethe-ansatz analysis, indicating that the model becomes massive for strong dissipation. Our results can be tested with the two-component Bose-Hubbard system of ultracold atoms subject to two-body loss.