论文标题
聚合系统中的PT对称破坏过渡
PT-Symmetry Breaking Transitions in Polymeric Systems
论文作者
论文摘要
我们表明，通过量子机械定位 - 偏置转变在非弱点单杂音hatano-nelson hamiltonian的基础状态下，经典的DNA解开过渡是由量子机械定位转换过渡的。我们还研究了有限尺寸晶格的单个杂质和随机疾病的存在，研究了Hatano-Nelson模型的一维离散版本。这些离散模型可用于研究从表面上解动单个吸附聚合物的拉链。我们的结果表明，离散模型还经历了从PT不间断阶段到断裂阶段的相过渡。有趣的是，广义的PT相变点与连续体和晶格模型的定位 - 偏置转变一致。
We show that classical DNA unzipping transition which is equivalently described by quantum mechanical localization-delocalization transition in the ground state of non-Hermitian single impurity Hatano-Nelson Hamiltonian is underpinned by generalized parity ({\bf P})-time reversal ({\bf T}) symmetry breaking transition. We also study the one-dimensional discretized version of Hatano-Nelson model in the presence of the single impurity and random disorder on a finite-size lattice. These discrete models are useful to study unzipping of a single adsorbed polymer from a surface. Our results show that the discrete models also undergo a phase transition from a PT unbroken phase to a broken phase. Interestingly, the generalized PT phase transition points coincide with the localization-delocalization transition for continuum as well as lattice models.
