正则一维晶格上可积激子-声子非线性动力系统的偶极子-单极子交叉和无电荷半模

IF 0.6 Q4 PHYSICS, MULTIDISCIPLINARY Ukrainian Journal of Physics Pub Date : 2023-04-20 DOI:10.15407/ujpe68.2.108
O. O. Vakhnenko
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引用次数: 0

摘要

提出了一种具有两个物理独立参数的可积非线性激子-声子动力系统的新形式。该系统沿无限一维正则晶格稳定,并允许用3 × 3辅助谱和演化矩阵表示的半离散Lax。利用Darboux-Backlund修整技术得到的系统动力学方程的显式解析四分量解具有pt -对称性破缺。该解的每个分量由两个非线性叠加行波组成,非线性波包的两个物理上不同的空间尺度参数的相等值激发了偶极子-单极子交叉。赝激子空间分布的偶极-单极交替现象在阈值点引发了赝激子和振动子系统之间的部分分裂,表现为一个伪激子成分完全消除,另一个伪激子成分转化为伪激子无电荷半模式。
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Dipole–Monopole Crossover and Chargeless Half-Mode in an Integrable Exciton–Phonon Nonlinear Dynamical System on a Regular One-Dimensional Lattice
A new form of the integrable nonlinear exciton–phonon dynamical system characterized by two physically independent parameters is suggested. The system is settled along an infinite one-dimensional regular lattice, and it admits the semi-discrete Lax representation in terms of 3 × 3 auxiliary spectral and evolution matrices. The explicit analytic four-component solution to the system’s dynamical equations found by means of the Darboux–Backlund dressing technique turns out to be of broken PT-symmetry. Each component of the solution consists of two nonlinearly superposed traveling waves that inspires the dipole–monopole crossover for the equal values of two physically distinct spatial scaling parameters of the nonlinear wave packet. The phenomenon of the dipole–monopole alternative for the spatial distribution of pseudoexcitons is shown to initiate the partial splitting between the pseudoexcitonic and vibrational subsystems at the threshold point manifested by the complete elimination of one pseudoexcitonic component and the conversion of another pseudoexcitonic component into the pseudoexcitonic chargeless half-mode.
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来源期刊
Ukrainian Journal of Physics
Ukrainian Journal of Physics PHYSICS, MULTIDISCIPLINARY-
CiteScore
1.20
自引率
20.00%
发文量
244
期刊介绍: Ukrainian Journal of Physics is the general physics edition of the Department of Physics and Astronomy of the National Academy of Sciences of Ukraine. The journal publishes original papers and reviews in the fields of experimental and theoretical physics.
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