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Solitons in nonlinear systems and eigen-states in quantum wells

Chinese Physics B 2019年第1期28卷 257-266页

作者： li-Chen Zhao Zhan-Ying yang wen-li yang School of Physics Northwest UniversityXi’an 710069China Shaanxi Key Laboratory for Theoretical Physics Frontiers Xi’an 710069China Institute of Modern Physics Northwest UniversityXi’an 710069China

We study the relations between solitons of nonlinear Schro¨dinger equation and eigen-states of linear Schro¨dinger equation with some quantum wells. Many different non-degenerated solitons are re-derived from the eigen-states in the quantum wells. We show that the vector solitons for the coupled system with attractive interactions correspond to the identical eigen-states with the ones of the coupled systems with repulsive interactions. Although their energy eigenvalues seem to be different, they can be reduced to identical ones in the same quantum wells. The non-degenerated solitons for multi-component systems can be used to construct much abundant degenerated solitons in more components coupled ***, we demonstrate that soliton solutions in nonlinear systems can also be used to solve the eigen-problems of quantum wells. As an example, we present the eigenvalue and eigen-state in a complicated quantum well for which the Hamiltonian belongs to the non-Hermitian Hamiltonian having parity–time symmetry. We further present the ground state and the first exited state in an asymmetric quantum double-well from asymmetric solitons. Based on these results, we expect that many nonlinear physical systems can be used to observe the quantum states evolution of quantum wells, such as a water wave tank, nonlinear fiber, Bose–Einstein condensate, and even plasma, although some of them are classical physical systems. These relations provide another way to understand the stability of solitons in nonlinear Schro¨dinger equation described systems, in contrast to the balance between dispersion and nonlinearity.

关键词： non-degenerated soliton eigen-states quantum well nonlinear Schrodinger equation

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Rate of the phase transition for a charged anti-de Sitter black hole

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Science China(Physics,Mechanics & Astronomy) 2023年第4期66卷 61-66页

作者： Zhen-Ming Xu Bin Wu wen-li yang School of Physics Northwest UniversityXi'an 710127China Institute of Modern Physics Northwest UniversityXi'an 710127China Shaanxi Key Laboratory for Theoretical Physics Frontiers Xi'an 710127China Peng Huanwu Center for Fundamental Theory Xi'an 710127China

Phase transition is a core content of black hole thermodynamics. This study adopted Kramer’s escape rate method for describing the Brownian motion of particles in an external field to investigate the intensity of the phase transition between small and large black hole states. Some existing studies mostly focused on the formal analysis of the thermodynamic phase transition of black holes, but they neglected the detailed description of the phase transition process. Our results show that the phase transition between small and large black holes for charged anti-de Sitter(AdS) black holes presents serious asymmetric features, and the overall process is dominated by the transition from a small black hole to a large black hole. This study filled a research gap of a stochastic process analysis on the issue of the first-order phase transition rate in the Ad S black hole.

关键词： black hole thermodynamics phase transition thermal potential Kramer’s escape rate

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Breather-induced quantised superfluid vortex filaments and their characterisation

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Communications in Theoretical Physics 2020年第7期72卷 132-140页

作者： Hao li Chong liu Wei Zhao Zhan-Ying yang wen-li yang School of Physics Northwest UniversityXi’an 710127China Shaanxi Key Laboratory for Theoretical Physics Frontiers Xi'an 710127China NSFC-SPTP Peng Huanwu Center for Fundamental Theory Xi’an 710127China Institute of Modern Physics Northwest UniversityXi'an 710127China Institute of Photonics and Photon-technology Northwest UniversityXi'an 710127China State Key Laboratory of Photoelectric Technology and Functional Materials Xi'an 710127China

We study and characterise the breather-induced quantised superfluid vortex filaments which correspond to the Kuznetsov-Ma breather and super-regular breather excitations developing from localised *** vortex filaments,emerging from an otherwise perturbed helical vortex,exhibit intriguing loop structures corresponding to the large amplitude of breathers due to the dual action of bending and twisting of the *** loop induced by the Kuznetsov-Ma breather emerges periodically as time increases,while the loop structure triggered by the superregular breather—the loop pair—exhibits striking symmetry breaking due to the broken reflection symmetry of the group velocities of the super-regular *** particular,we identify explicitly the generation conditions of these loop excitations by introducing a physical quantity—the integral of the relative quadratic curvature—which corresponds to the effective energy of *** the nature of nonlinearity,it is demonstrated that this physical quantity shows a linear correlation with the loop *** results will deepen our understanding of breather-induced vortex filaments and be helpful for controllable ring-like excitations on the vortices.

关键词： vortex filament loop structure local induction approximation Kuznetsov-Ma breather super-regular breather

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Merging and splitting dynamics between two bright solitons in dipolar Bose-Einstein condensates

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Chinese Physics B 2021年第12期30卷 233-236页

作者： Xin li Peng Gao Zhan-Ying yang wen-li yang School of Physics Northwest UniversityXi’an 710069China Shaanxi Key Laboratory for Theoretical Physics Frontiers Xi’an 710069China Peng Huanwu Center for Fundamental Theory Xi’an 710127China Institute of Modern Physics Northwest UniversityXi’an 710069China

We numerically study the interaction dynamics of two bright solitons with zero initial velocities in the one-dimensional dipolar Bose-Einstein *** different dipolar strengths,the two bright solitons can merge into a breathing wave,and then split or propagate constantly after several oscillating *** quantitatively study the breathing frequency of wave after merging and the asymmetry property of solitons after splitting,and analyze their formation mechanism by the system's energy ***,the change of initial phase difference brings distinct effects on the soliton *** results provide insight into the new dynamical phenomena in dipolar systems and enrich the understanding for interaction between dipolar solitons.

关键词： bright soliton Bose-Einstein condensate dipolar soliton

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Quantized Superfluid Vortex Filaments Induced by the Axial Flow Effect

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Chinese Physics Letters 2020年第3期37卷 5-8页

作者： Hao li Chong liu Zhan-Ying yang wen-li yang School of Physics Northwest UniversityXi'an 710127 Shaanxi Key Laboratory for Theoretical Physics Frontiers Xi'an 710127 NSFC-SPTP Peng Huanwu Center for Fundamental Theory Xi'an 710127 Institute of Modern Physics Northwest UniversityXi'an 710127

We report the quantized superfluid vortex filaments induced by the axial flow effect,which exhibit intriguing loop structures on helical *** new vortex filaments correspond to a series of soliton excitations including the multipeak soliton,W-shaped soliton,and anti-dark soliton,which have no analogue when the axial flow effect is *** particular,we show that the vortex filaments induced by the multipeak soliton and W-shaped soliton arise from the dual action of bending and twisting of the vortex,while the vortex filament induced by the anti-dark soliton is caused only by the bending action,which is consistent with the case of the standard bright *** results will deepen our understanding of breather-induced vortex filaments and will be helpful for controllable ring-like excitations on vortices.

关键词： soliton vortex bending

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Vector kink-dark complex solitons in a three-component Bose–Einstein condensate

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Communications in Theoretical Physics 2021年第5期73卷 85-91页

作者： Yan li Yan-Hong Qin li-Chen Zhao Zhan-Ying yang wen-li yang School of Physics Northwest UniversityXi'an 710127China Shaanxi Key Laboratory for Theoretical Physics Frontiers Xi’an 710127 China Peng Huanwu Center for Fundamental Theory Xi’an 710127China

We investigate kink-dark complex solitons(KDCSs)in a three-component Bose–Einstein condensate(BEC)with repulsive interactions and pair-transition(PT)*** profiles critically depend on the phase differences between dark solitons excitation *** report a type of kink-dark soliton profile which shows a droplet-bubble-droplet with a density dip,in sharp contrast to previously studied *** interaction between two KDCSs is further *** demonstrates some striking particle transition behaviours during their collision processes,while soliton profiles survive after the ***,we exhibit the state transition dynamics between a kink soliton and a dark *** results suggest that PT effects can induce more abundant complex solitons dynamics in multi-component BEC.

关键词： kink-dark complex solitons pair-transition effects three-component Bose–Einstein condensate

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Localized Optical Waves in Defocusing Regime of Negative-Index Materials

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Chinese Physics Letters 2017年第10期34卷 8-12页

作者： wen-Hao Xu Zhan-Ying yang Chong liu wen-li yang School of Physics Northwest University Xi'an 710069 Shaanxi Key Laboratory for Theoretical Physics Frontiers Xi'an 710069 Institute of Modern Physics Northwest University Xi'an 710069

We study optical localized waves on a plane-wave background in negative-index materials governed by the defocusing nonlinear Schr6dinger equation with self-steepening effect. Important characteristics of localized waves, such as the excitations, transitions, propagation stability, and mechanism, are revealed in detail. An intrigu- ing sequential transition that involves the rogue wave, antidark-dark soliton pair, antidark soliton and antidark soliton pair can be triggered as the self-steepening effect attenuates. The corresponding phase diagram is estab- lished in the defocusing regime of negative-index materials. The propagation stability of the localized waves is confirmed numerically. In particular, our results illuminate the transition mechanism by establishing the exact correspondence between the transition and the modulation instability analysis.

关键词： In Localized Optical Waves in Defocusing Regime of Negative-Index Materials

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Synthesis of New Chiral C_2-Symmetrical Bis(oxazoline) Compounds

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Chinese Chemical Letters 2003年第2期14卷 125-126页

作者： Chun Hua ZHANG Nian Fa yang li wen yang Department of Chemistry Xiangtan UniversityXiangtan 411105

New chiral C_2-symmetrical bis(oxazoline) compounds bearing one isobutyl-, secbutyl-, benzyl- or isopropyl-substituent at the 4-position have been prepared and characterized.

关键词： Synthesis chiral C_2-symmetrical bis(oxazoline).

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Embedded Majorana islands

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Science China(Physics,Mechanics & Astronomy) 2024年第9期67卷 154-164页

作者： Jin-Xing Hou Alex Weststrom Rui Wang wen-li yang Jian li Institute of Modern Physics Northwest UniversityXi’an 710127China Department of Physics School of ScienceWestlake UniversityHangzhou 310030China Shaanxi Key Laboratory for Theoretical Physics Frontiers Xi’an 710127China Institute of Natural Sciences Westlake Institute for Advanced StudyHangzhou 310024China National Laboratory of Solid State Microstructures and Department of Physics Nanjing UniversityNanjing 210093China Collaborative Innovation Center for Advanced Microstructures Nanjing 210093China Peng Huanwu Center for Fundamental Theory Xi’an 710127China

Mesoscopic superconducting islands hosting Majorana zero modes(MZMs),or Majorana islands in short,offer a prototype of topological *** this work we investigate theoretically the model of a generic Majorana island tunneling-coupled to a singlepiece metallic substrate,hence an embedded Majorana *** show the crucial consequences of an interplay between the topological ground states nonlocally addressed by the MZMs and the metallic bath with coherent electron propagation:on the one hand,the topological degeneracy on the Majorana island can be preserved,by virtue of the particle-hole symmetry,despite the apparent bath-induced coupling between MZMs;on the other hand,the electronic interference in the metallic bath may lead to profound alterations to the renormalization group behavior of the hybrid system towards low energy/temperature compared with conventional Kondo *** work serves to establish the model of embedded Majorana islands as an experimentally relevant and theoretically intriguing problem particularly in the direction of topological quantum computation.

关键词： topological quantum computation Majorana zero modes topological qubit mesoscopic superconductor topological Kondo effect

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Dynamical learning of non-Markovian quantum dynamics

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Chinese Physics B 2022年第1期31卷 165-169页

作者： Jintao yang Junpeng Cao wen-li yang Beijing National Laboratory for Condensed Matter Physics Institute of PhysicsChinese Academy of SciencesBeijing 100190China School of Physical Sciences University of Chinese Academy of SciencesBeijing 100049China Songshan Lake Materials Laboratory Dongguan 523808China Peng Huanwu Center for Fundamental Theory Xi'an 710127China Institute of Modern Physics Northwest UniversityXi'an 710127China School of Physical Sciences Northwest UniversityXi'an 710127China Shaanxi Key Laboratory for Theoretical Physics Frontiers Xi'an 710127China

We study the non-Markovian dynamics of an open quantum system with machine *** observable physical quantities and their evolutions are generated by using the neural *** the pre-training is completed,we fix the weights in the subsequent processes thus do not need the further gradient *** find that the dynamical properties of physical quantities obtained by the dynamical learning are better than those obtained by the learning of Hamiltonian and time evolution *** dynamical learning can be applied to other quantum many-body systems,non-equilibrium statistics and random processes.

关键词： machine learning quantum dynamics open quantum system

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