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Quantum Geometric Tensor for Mixed States Based on the Covariant Derivative
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作者 Qianyi Wang Ben Wang +1 位作者 Jun Wang Lijian Zhang 《Chinese Physics Letters》 2025年第7期171-181,共11页
The quantum geometric tensor(QGT)is a fundamental quantity for characterizing the geometric properties of quantum states and plays an essential role in elucidating various physical phenomena.The traditional QGT,defned... The quantum geometric tensor(QGT)is a fundamental quantity for characterizing the geometric properties of quantum states and plays an essential role in elucidating various physical phenomena.The traditional QGT,defned only for pure states,has limited applicability in realistic scenarios where mixed states are common.To address this limitation,we generalize the defnition of the QGT to mixed states using the purifcation bundle and the covariant derivative.Notably,our proposed defnition reduces to the traditional QGT when mixed states approach pure states.In our framework,the real and imaginary parts of this generalized QGT correspond to the Bures metric and the mean gauge curvature,respectively,endowing it with a broad range of potential applications.Additionally,using our proposed mixed-state QGT,we derive the geodesic equation applicable to mixed states.This work establishes a unifed framework for the geometric analysis of both pure and mixed states,thereby deepening our understanding of the geometric properties of quantum states. 展开更多
关键词 characterizing geometric properties quantum states purifcation bundle elucidating various physical phenomenathe covariant derivative Bures metric quantum geometric tensor qgt quantum geometric tensor mixed states
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Low-Temperature Solid State Synthesis and Characterization of Superconducting Vanadium Nitride 被引量:1
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作者 Liang-Biao Wang Zheng-Song Lou +2 位作者 Ke-Yan Bao Wei-Qiao Liu Quan-Fa Zhou 《Chinese Physics Letters》 SCIE CAS CSCD 2017年第2期108-111,共4页
Superconducting vanadium nitride (VN) is successfully synthesized by a solid-state reaction of vanadium pentox- ide, sodium amide and sulfur in an autoclave at a relatively low temperature (240-400℃). The obtaine... Superconducting vanadium nitride (VN) is successfully synthesized by a solid-state reaction of vanadium pentox- ide, sodium amide and sulfur in an autoclave at a relatively low temperature (240-400℃). The obtained samples are characterized by x-ray diffraction, x-ray photoelectron spectroscopy and transmission electron microscopy. The result of the magnetization of the obtained VN product as a function of temperature indicates that the onset superconducting transition temperature is about 8.4K. Furthermore, the possible reaction mechanism is also discussed. 展开更多
关键词 Low-Temperature Solid state Synthesis and characterization of Superconducting Vanadium Nitride HRTEM XRD SQUID
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Characterization of Interface State Density of Ni/p-GaN Structures by Capacitance/Conductance-Voltage-Frequency Measurements 被引量:1
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作者 Zhi-Fu Zhu He-Qiu Zhang +4 位作者 Hong-Wei Liang Xin-Cun Peng Ji-Jun Zou Bin Tang Guo-Tong Du 《Chinese Physics Letters》 SCIE CAS CSCD 2017年第9期82-86,共5页
For the frequency range of I kHz-lOMHz, the interface state density of Ni contacts on p-GaN is studied using capacitance-voltage (C-V) and conductance-frequency-voltage (G-f-V) measurements at room temperature. To... For the frequency range of I kHz-lOMHz, the interface state density of Ni contacts on p-GaN is studied using capacitance-voltage (C-V) and conductance-frequency-voltage (G-f-V) measurements at room temperature. To obtain the real capacitance and interface state density of the Ni/p-GaN structures, the effects of the series resistance (Rs) on high-frequency (SMHz) capacitance values measured at a reverse and a forward bias are investigated. The mean interface state densities obtained from the CHF-CLF capacitance and the conductance method are 2 ×1012 e V-1 cm-2 and 0.94 × 1012 eV-1 cm-2, respectively. Furthermore, the interface state density derived from the conductance method is higher than that reported from the Ni/n-GaN in the literature, which is ascribed to a poor crystal quality and to a large defect density of the Mg-doped p-GaN. 展开更多
关键词 GaN characterization of Interface state Density of Ni/p-GaN Structures by Capacitance/Conductance-Voltage-Frequency Measurements NI
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Time-resolved K-shell x-ray spectra of nanosecond laser-produced titanium tracer in gold plasmas
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作者 何贞岑 张继彦 +2 位作者 杨家敏 闫冰 胡智民 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第1期51-55,共5页
A study of a nanosecond laser irradiation on the titanium-layer-buried gold planar target is presented. The timeresolved x-ray emission spectra of titanium tracer are measured by a streaked crystal spectrometer. By co... A study of a nanosecond laser irradiation on the titanium-layer-buried gold planar target is presented. The timeresolved x-ray emission spectra of titanium tracer are measured by a streaked crystal spectrometer. By comparing the simulated spectra obtained by using the FLYCHK code with the measured titanium spectra, the temporal plasma states, i.e.,the electron temperatures and densities, are deduced. To evaluate the feasibility of using the method for the characterization of Au plasma states, the deduced plasma states from the measured titanium spectra are compared with the Multi-1D hydrodynamic simulations of laser-produced Au plasmas. By comparing the measured and simulated results, an overall agreement for the electron temperatures is found, whereas there are deviations in the electron densities. The experiment–theory discrepancy may suggest that the plasma state could not be well reproduced by the Multi-1D hydrodynamic simulation, in which the radial gradient is not taken into account. Further investigations on the spectral characterization and hydrodynamic simulations of the plasma states are needed. All the measured and FLYCHK simulated spectra are given in this paper as datasets. The datasets are openly available at http://www.doi.org/10.57760/sciencedb.j00113.00032. 展开更多
关键词 nanosecond laser irradiation time-resolved x-ray spectra characterization of plasma states Multi-1D hydrodynamic simulations
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Improved Multiple Feature-electrochemical Thermal Coupling Modeling of Lithium-ion Batteries at Low-temperature with Real-time Coefficient Correction 被引量:3
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作者 Shunli Wang Haiying Gao +3 位作者 Paul Takyi-Aninakwa Josep M.Guerrero Carlos Fernandez Qi Huang 《Protection and Control of Modern Power Systems》 SCIE EI 2024年第3期157-173,共17页
Monitoring various internal parameters plays a core role in ensuring the safety of lithium-ion batteries in power supply applications.It also influences the sustainability effect and online state of charge prediction.... Monitoring various internal parameters plays a core role in ensuring the safety of lithium-ion batteries in power supply applications.It also influences the sustainability effect and online state of charge prediction.An improved multiple feature-electrochemical thermal coupling modeling method is proposed considering low-temperature performance degradation for the complete characteristic expression of multi-dimensional information.This is to obtain the parameter influence mechanism with a multi-variable coupling relationship.An optimized decoupled deviation strategy is constructed for accurate state of charge prediction with real-time correction of time-varying current and temperature effects.The innovative decoupling method is combined with the functional relationships of state of charge and open-circuit voltage to capture energy management ef-fectively.Then,an adaptive equivalent-prediction model is constructed using the state-space equation and iterative feedback correction,making the proposed model adaptive to fractional calculation.The maximum state of charge estimation errors of the proposed method are 4.57% and 0.223% under the Beijing bus dynamic stress test and dynamic stress test conditions,respectively.The improved multiple feature-electrochemical thermal coupling modeling realizes the effective correction of the current and temperature variations with noise influencing coefficient,and provides an efficient state of charge prediction method adaptive to complex conditions. 展开更多
关键词 Adaptive inner state characterization lithium-ion batteries low-temperature automatic-guided-vehicle multiple feature-electrochemical thermal coupling modeling real-time coefficient correction
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Morphological variation in the short-tailed fruit bat(Carollia)in Ecuador,with comments on the practical and philosophical aspects of boundaries among species
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作者 Pablo JARRíN-V. Cristina FLORES Janeth SALCEDO 《Integrative Zoology》 SCIE CSCD 2010年第3期226-240,共15页
The mechanisms for the morphological delimitation of species in Carollia remain poorly understood.This is the first study to assess variation in size and shape from strictly geometric terms.Both factors are assessed b... The mechanisms for the morphological delimitation of species in Carollia remain poorly understood.This is the first study to assess variation in size and shape from strictly geometric terms.Both factors are assessed by statistical perspectives of distribution,overlap and relative distances.Despite its overlap,the size of the skull seems to be the most influential character for the discrimination of species,with shape playing a much smaller role.The smallest species seems to be the most distinct in shape,not only in terms of distance among centroids in morphometric space,but also in the overall trend and direction of variation.Contrary to previous studies,sexual dimorphism is not given by size but by distinct shapes of the skull.Characters such as the shape of the maxilla,previously described qualitatively as discrete with sharp boundaries,appear to be truly continuous with fuzzy borders among species.Because morphometric space is a gamut of continuous variation and overlap,the taxonomic error rate for size characters seems to be substantial for the medium-sized species(Carollia brevicauda Schinz,1821),with approximately 30–40%of individuals erroneously assigned to a different species after a jackknifed discriminant function.This taxonomic error is higher for shape characters.Morphological,systematic and ecological consequences of the observed patterns of shape and size variation are commented within the context of previously proposed arguments and hypotheses. 展开更多
关键词 boundaries CAROLLIA character state DISCRIMINANT MORPHOMETRICS
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