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General interaction quenches in a luttinger liquid

Communications in Theoretical Physics 2022年第1期74卷 134-141页

作者： You-Ming Wei Hantao Lu School of Physical Science and Technology&Key Laboratory for Magnetism and Magnetic Materials of the MoE Lanzhou UniversityLanzhou 730000China Lanzhou Center for Theoretical Physics Key Laboratory of Theoretical Physics of Gansu ProvinceLanzhou UniversityLanzhouGansu 730000China

We discuss a general interaction quench in a luttinger liquid described by a paired bosonic *** employing su(1,1)Lie algebra,the post-quench time-evolved wavefunctions are obtained analytically,from which the time evolution of the entanglement in momentum space can be *** note that depending on the choice of Bogoliubov quasiparticles,the expressions of wavefunctions,which describe time-evolved paired states,can take different *** correspondence between the largest entanglement eigenvalue in momentum space and the wavefunction overlap in quench dynamics is discussed,which generalizes the results of Dora et al(2016,***.117,010603).A numerical demonstration on an XXZ lattice model is presented via the exact diagonalization method.

关键词： quantum quench exact diagonalization luttinger liquid XXZ model

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A unified electrical model based on experimental data to describe electrical transport in carbon nanotube-based materials

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Nano Research 2020年第6期13卷 1764-1779页

作者： Yoann Dini Jérôme Faure-Vincent Jean Dijon Univ.Grenoble-Alpes CEALITENDTNMF-38000GrenobleFrance Univ.Grenoble-Alpes CEACNRSIRIGSyMMESF-38000GrenobleFrance

Understanding the electrical transport in carbon nanotube(CNT)materials is one key to reach very high electrical *** CNT material resistivity(ρ(T))as function of the temperature are fully apprehended by their reduced activation W(T)=dln(ρ)/dln(T)*** to now,no model accurately fits W(T)curves,thus preventing from precisely describing the CNT material electrical *** present a new electrical transport model that perfectly fits all W(T)curves found in the literature and in our own *** material resistivities are modeled byρ(T)=ρ0(T^−α+M(1+βTγT^2)).Our model has few enough parameters(α,M,β,γ)to relate them to the CNT *** 70 K,we experimentally show that CNT material resistivity follows the luttinger liquid theory justifying the T^−αterm in our *** 70 K,the polynomial part becomes dominant and depends on the two different CNT fabrication techniques which lead to two very different yarn *** yarns made from floating catalyst chemical vapor deposition CNTs,the polynomial is explained by the percolation of metallic CNT ***,the polynomial of yarns spun from CNT arrays is explained by the electrical transport in CNT bundles which are the basic building blocks of this type of yarns.

关键词： carbon nanotube carbon-based materials electrical conductivity electrical transport model luttinger liquid

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Theory of superfluidity and drag force in the one-dimensional Bose gas

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Frontiers of physics 2012年第1期7卷 54-71页

作者： Alexander Yu. Cherny (1) Jean-Sébastien Caux (2) Joachim Brand (3) 1. Bogoliubov Laboratory of Theoretical Physics Joint Institute for Nuclear Research 141980 Dubna Moscow region Russia2. Institute for Theoretical Physics Science Park 904 University of Amsterdam 1090 GL Amsterdam The Netherlands3. Centre for Theoretical Chemistry and Physics and New Zealand Institute for Advanced Study Massey University Private Bag 102904 North Shore Auckland 0745 New Zealand

The one-dimensional Bose gas is an unusual superfluid. In contrast to higher spatial dimensions, the existence of non-classical rotational inertia is not directly linked to the dissipationless motion of infinitesimal impurities. Recently, experimental tests with ultracold atoms have begun and quanti- tative predictions for the drag force experienced by moving obstacles have become available. This topical review discusses the drag force obtained from linear response theory in relation to Lan- dau＇s criterion of superfluidity. Based upon improved analytical and numerical understanding of the dynamical structure factor, results for different obstacle potentials are obtained, including single impurities, optical lattices and random potentials generated from speckle patterns. The dynamical breakdown of superfluidity in random potentials is discussed in relation to Anderson localization and the predicted superfluid-insulator transition in these systems.

关键词： Lieb-Liniger model Tonks-Girardeau gas luttinger liquid drag force superfluidity,dynamical structure factor

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