The Zeeman effect,a fundamental quantum phenomenon,demonstrates the interaction between magnetic fields and atomic systems.While precise spectroscopic measurements of this effect have advanced significantly,there rema...The Zeeman effect,a fundamental quantum phenomenon,demonstrates the interaction between magnetic fields and atomic systems.While precise spectroscopic measurements of this effect have advanced significantly,there remains a lack of simple,visually accessible demonstration for educational purposes.Here,we present a low-cost experiment that allows for direct visual observation of the Zeeman effect.Our setup involves a flame containing sodium(from table salt)placed in front of a sodium vapor lamp.When a magnetic field is applied to the flame,the shadow cast by the flame noticeably lightens,providing a clear,naked-eye demonstration of the Zeeman effect.Furthermore,we conduct two quantitative experiments using this setup,examining the effects of varying magnetic field strength and sodium concentration.This innovative approach not only enriches the experimental demonstration for teaching atomic physics at undergraduate and high school levels but also provides an open platform for students to explore the Zeeman effect through hands-on experience.展开更多
Based on the passive spectroscopy,the D_αatomic emission spectra in the boundary region of the plasma have been measured by a high resolution optical spectroscopic multichannel analysis(OSMA)system in EAST tokamak.Th...Based on the passive spectroscopy,the D_αatomic emission spectra in the boundary region of the plasma have been measured by a high resolution optical spectroscopic multichannel analysis(OSMA)system in EAST tokamak.The Zeeman splitting of the D_αspectral lines has been observed.A fitting procedure by using a nonlinear least squares method was applied to fit and analyze all polarizationπand±σcomponents of the D_αatomic spectra to acquire the information of the local plasma.The spectral line shape was investigated according to emission spectra from different regions(e.g.,low-field side and high-field side)along the viewing chords.Each polarization component was fitted and classified into three energy categories(the cold,warm,and hot components)based on different atomic production processes,in consistent with the transition energy distribution by calculating the gradient of the D_αspectral profile.The emission position,magnetic field intensity,and flow velocity of a deuterium atom were also discussed in the context.展开更多
In 2015 campaign,deuterium atomic emission spectra(Dα)under the Zeeman effect in boundary region had been measured by a high resolution optical spectroscopic multichannel analysis(OSMA)system based on passive spec...In 2015 campaign,deuterium atomic emission spectra(Dα)under the Zeeman effect in boundary region had been measured by a high resolution optical spectroscopic multichannel analysis(OSMA)system based on passive spectroscopy during the deuterium plasma discharge on EAST tokamak,and part of the works about the Zeeman effect on Dαspectra had already been done.However,the asymmetric phenomena of Dαemission spectra under the Zeeman effect were observed in process of analyzing the spectral data.To understand the asymmetric phenomena and acquire the useful local plasma information,an algorithm was proposed and used to analyze the asymmetry of the emission spectra under the Zeeman effect with all polarization components(πand±σ).In the algorithm,the neutral atoms were considered to follow the Maxwell distribution on EAST,and I+σ=I-σwas considered and set.Because of the line-averaged spectra along the viewing chord,the emission spectra were considered from two different regions:low-field side(LFS)and high-field side(HFS).Each spectral line was classified into three energy categories(the cold,warm,and hot)based on different atomic production processes in boundary recycling.The viewing angleθ(between the magnetic field B and the viewing chord),magnetic field B at two spectral emission positions(HFS and LFS)and the Doppler shift of all three energy categories of each spectral line were all considered in the algorithm.The effect of instrument function was also included here.The information of the boundary plasma were acquired,the reason for the asymmetric phenomena was discussed,and the boundary recycling during the discharge were studied in the paper.Based on fitting a statistical data of acquired fitting results,an important conclusion was acquired that the ratio of the spectral line intensity in HFS and LFS was proportional to the square of that of the corresponding magnetic field.展开更多
This paper solves a self-consistent equation for the d-wave superconducting gap and the effective exchange field in the mean-field approximation, and studies the Zeeman effects on the d-wave superconducting gap and th...This paper solves a self-consistent equation for the d-wave superconducting gap and the effective exchange field in the mean-field approximation, and studies the Zeeman effects on the d-wave superconducting gap and thermodynamic potential. The Josephson currents in the d-wave superconductor(S)/insulating layer(I)/d-wave S junctions are calculated as a function of the temperature, exchange field, and insulating barrier strength under a Zeeman magnetic field on the two d-wave Ss. It is found that the Josephson critical currents in d-wave S/d-wave S junction to a great extent depend on the relative orientation of the effective exchange field of the two S electrodes, and the crystal orientation of the d-wave S. The exchange field under certain conditions can enhance the Josephson critical current in a d-wave S/I/d-wave S junction.展开更多
Zeeman effect at the hyperfine level of the rovibronic ground state of I35Cl are determined on the basis of |I1JF1I2FMF| via an effective Hamiltonian matrix diagonalization method. Perturbations of the Zeeman sub- l...Zeeman effect at the hyperfine level of the rovibronic ground state of I35Cl are determined on the basis of |I1JF1I2FMF| via an effective Hamiltonian matrix diagonalization method. Perturbations of the Zeeman sub- levels are observed and the perturbation selection rules are summarized as well. Several potential applications of such Zeeman effect are suggested.展开更多
We investigated the impact of a constant external magnetic field on the dressed propagators of up-,down-,and strange quarks.In the weak field limit,we derive a general momentum-space representation for the propagator ...We investigated the impact of a constant external magnetic field on the dressed propagators of up-,down-,and strange quarks.In the weak field limit,we derive a general momentum-space representation for the propagator and numerically solve the corresponding gap equation.Our analysis reveals that the vector term of the propagator can be decomposed into components parallel and perpendicular to the magnetic field,resulting in anisotropic effective masses,with the transverse mass consistently exceeding the longitudinal mass.This mass disparity exhibits a power law dependence on the magnetic field strength and is less pronounced for the strange quark compared to up and down quarks.Additionally,the magnetic field induces axial-vector and tensor terms,highlighting the Zeeman effect,resulting from quark interactions with the magnetic field.These findings have important implications for(inverse)magnetic catalysis and phenomena such as vector meson and pion condensations.展开更多
The dynamic evolution of a multi-level atom in the three-dimensional photonic crystal under an applied magnetic field is investigated.By combining the Zeeman effect with the photonic band gap effect,the dynamic quantu...The dynamic evolution of a multi-level atom in the three-dimensional photonic crystal under an applied magnetic field is investigated.By combining the Zeeman effect with the photonic band gap effect,the dynamic quantum superposition states and steady quantum coherent trapping states of the atom can be flexibly controlled.This paves the way for coherent manipulation of quantum states in the solid-state system,which has important applications in quantum information processing.展开更多
Hyperfine structures and the field effects of IBr molecule in its rovibronic ground state are theoretically studied by diagonalizing the effective Hamiltonian matrix.Perturbations of high-J levels up to 4 are taken in...Hyperfine structures and the field effects of IBr molecule in its rovibronic ground state are theoretically studied by diagonalizing the effective Hamiltonian matrix.Perturbations of high-J levels up to 4 are taken into account when studying the hyperfine sub-levels of the J=0 level,and thus,an 80×80 matrix is constructed and solved.Some of the experimentally absent molecular constants are computed using Dalton program.Our results will be helpful in the experimental investigation of manipulation and further cooling of cold IBr molecules.展开更多
Based on the multiconfiguration Dirac-Hartree-Fock(MCDHF)method,similar models are employed to simultaneously calculate the first-order and second-order Zeeman coefficients as well as the hyperfine interaction constan...Based on the multiconfiguration Dirac-Hartree-Fock(MCDHF)method,similar models are employed to simultaneously calculate the first-order and second-order Zeeman coefficients as well as the hyperfine interaction constants of the related energy levels of 27Al+and its logical ions 9Be+and25Mg+in the27Al+optical clock.With less than 0.34%deviations from experimental values in Zeeman coefficients of27Al+,these calculated parameters will be of great help for better evaluation of the systematic uncertainty.We also calculate the isotope shift parameters of the related energy levels,which could extend our knowledge and understanding of nuclear properties of these ions.展开更多
The magnetic proximity effect enables interfacial modulation of excitonic and spin-valley properties in transition metal dichalcogenides(TMDs),offering a versatile route toward next-generation spintronic and valleytro...The magnetic proximity effect enables interfacial modulation of excitonic and spin-valley properties in transition metal dichalcogenides(TMDs),offering a versatile route toward next-generation spintronic and valleytronic devices.However,the inherently weak photoluminescence(PL)of bright excitons—suppressed by proximity-induced darkening mechanisms—hinders the optical detection of magnetic interactions.Here,we demonstrate substantial exciton emission enhancement in CrOCl/WSe2(HS)and twisted 90°-CrOCl/CrOCl/WSe2(THS)heterostructures by employing plasmonic Au nanopillar arrays to activate surface plasmon polariton(SPP)coupling.The neutral exciton emission intensity is enhanced by factors of 5 and 18 for HS/Au and THS/Au,respectively,with enhancements persisting under high magnetic fields and elevated temperatures(~10-fold in THS/Au).Enabled by this amplification,we observe pronounced Zeeman splitting and modified intervalley relaxation pathways,indicating significant magnetic proximity interactions.Finite-element simulations and first-principles calculations reveal that the enhancement arises from local electromagnetic field concentration and layer-dependent interfacial coupling.Our results establish SPP-assisted PL enhancement as an effective strategy for probing weak magneto-optical signatures,paving the way for detailed exploration of exciton-magnon coupling and interface-driven quantum phenomena in twodimensional(2D)magnetic heterostructures.展开更多
The mixed-field effect at the hyperfine level of the rovibronic ground state of the127I79Br(X1Σ,v=0,J=0)molecule is computed on the J-I uncoupled basis of|JMJI1M1I2M2>,where J is the molecu...The mixed-field effect at the hyperfine level of the rovibronic ground state of the127I79Br(X1Σ,v=0,J=0)molecule is computed on the J-I uncoupled basis of|JMJI1M1I2M2>,where J is the molecular total angular momentum excluding nuclear spin,M_J is the projection number of J,I1 and I2 are the nuclear spins of the iodine and bromine atoms,and M1 and M2 are the projection numbers of I1 and I2,respectively.When the two applied electric and magnetic fields are parallel,the perturbations are rare and only one perturbation is observed in a relatively large field regime in our computation range.However,when the two fields are off-parallel,the perturbations increase significantly and some sublevels show the Feshbach-like resonance phenomenon.Therefore,such sublevels transit between weak-field seeking and strong-field seeking repeatedly,which can be utilized to enhance or suppress cold molecular collision and chemical reaction rates.Such behavior of the molecular hyperfine structure in the mixed off-parallel fields may also be utilized to construct an electric-field-assisted anti-Helmholtz magnetic trap for cold molecules and to realize evaporative cooling of cold molecules(sub-mK)into the ultracold regime(μK).展开更多
基金the National Natural Science Foundation of China for support under grant No.12305037the Fundamental Research Funds for the Central Universities under grant No.2023NTST017。
摘要The Zeeman effect,a fundamental quantum phenomenon,demonstrates the interaction between magnetic fields and atomic systems.While precise spectroscopic measurements of this effect have advanced significantly,there remains a lack of simple,visually accessible demonstration for educational purposes.Here,we present a low-cost experiment that allows for direct visual observation of the Zeeman effect.Our setup involves a flame containing sodium(from table salt)placed in front of a sodium vapor lamp.When a magnetic field is applied to the flame,the shadow cast by the flame noticeably lightens,providing a clear,naked-eye demonstration of the Zeeman effect.Furthermore,we conduct two quantitative experiments using this setup,examining the effects of varying magnetic field strength and sodium concentration.This innovative approach not only enriches the experimental demonstration for teaching atomic physics at undergraduate and high school levels but also provides an open platform for students to explore the Zeeman effect through hands-on experience.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11275231 and 11575249)the National Magnetic Confinement Fusion Energy Research Program of China(Grant No.2015GB110005)
摘要Based on the passive spectroscopy,the D_αatomic emission spectra in the boundary region of the plasma have been measured by a high resolution optical spectroscopic multichannel analysis(OSMA)system in EAST tokamak.The Zeeman splitting of the D_αspectral lines has been observed.A fitting procedure by using a nonlinear least squares method was applied to fit and analyze all polarizationπand±σcomponents of the D_αatomic spectra to acquire the information of the local plasma.The spectral line shape was investigated according to emission spectra from different regions(e.g.,low-field side and high-field side)along the viewing chords.Each polarization component was fitted and classified into three energy categories(the cold,warm,and hot components)based on different atomic production processes,in consistent with the transition energy distribution by calculating the gradient of the D_αspectral profile.The emission position,magnetic field intensity,and flow velocity of a deuterium atom were also discussed in the context.
基金Project supported by the National Natural Science Foundation of China(Grant No.11805234)。
摘要In 2015 campaign,deuterium atomic emission spectra(Dα)under the Zeeman effect in boundary region had been measured by a high resolution optical spectroscopic multichannel analysis(OSMA)system based on passive spectroscopy during the deuterium plasma discharge on EAST tokamak,and part of the works about the Zeeman effect on Dαspectra had already been done.However,the asymmetric phenomena of Dαemission spectra under the Zeeman effect were observed in process of analyzing the spectral data.To understand the asymmetric phenomena and acquire the useful local plasma information,an algorithm was proposed and used to analyze the asymmetry of the emission spectra under the Zeeman effect with all polarization components(πand±σ).In the algorithm,the neutral atoms were considered to follow the Maxwell distribution on EAST,and I+σ=I-σwas considered and set.Because of the line-averaged spectra along the viewing chord,the emission spectra were considered from two different regions:low-field side(LFS)and high-field side(HFS).Each spectral line was classified into three energy categories(the cold,warm,and hot)based on different atomic production processes in boundary recycling.The viewing angleθ(between the magnetic field B and the viewing chord),magnetic field B at two spectral emission positions(HFS and LFS)and the Doppler shift of all three energy categories of each spectral line were all considered in the algorithm.The effect of instrument function was also included here.The information of the boundary plasma were acquired,the reason for the asymmetric phenomena was discussed,and the boundary recycling during the discharge were studied in the paper.Based on fitting a statistical data of acquired fitting results,an important conclusion was acquired that the ratio of the spectral line intensity in HFS and LFS was proportional to the square of that of the corresponding magnetic field.
基金supported by the Natural Science Foundation of Education Bureau of Jiangsu Province of China (Grant No 05KJB140008)the '333' Project Funds of Jiangsu Province of China
摘要This paper solves a self-consistent equation for the d-wave superconducting gap and the effective exchange field in the mean-field approximation, and studies the Zeeman effects on the d-wave superconducting gap and thermodynamic potential. The Josephson currents in the d-wave superconductor(S)/insulating layer(I)/d-wave S junctions are calculated as a function of the temperature, exchange field, and insulating barrier strength under a Zeeman magnetic field on the two d-wave Ss. It is found that the Josephson critical currents in d-wave S/d-wave S junction to a great extent depend on the relative orientation of the effective exchange field of the two S electrodes, and the crystal orientation of the d-wave S. The exchange field under certain conditions can enhance the Josephson critical current in a d-wave S/I/d-wave S junction.
摘要Zeeman effect at the hyperfine level of the rovibronic ground state of I35Cl are determined on the basis of |I1JF1I2FMF| via an effective Hamiltonian matrix diagonalization method. Perturbations of the Zeeman sub- levels are observed and the perturbation selection rules are summarized as well. Several potential applications of such Zeeman effect are suggested.
基金supported by the National Science Foundation of China(12305134)。
摘要We investigated the impact of a constant external magnetic field on the dressed propagators of up-,down-,and strange quarks.In the weak field limit,we derive a general momentum-space representation for the propagator and numerically solve the corresponding gap equation.Our analysis reveals that the vector term of the propagator can be decomposed into components parallel and perpendicular to the magnetic field,resulting in anisotropic effective masses,with the transverse mass consistently exceeding the longitudinal mass.This mass disparity exhibits a power law dependence on the magnetic field strength and is less pronounced for the strange quark compared to up and down quarks.Additionally,the magnetic field induces axial-vector and tensor terms,highlighting the Zeeman effect,resulting from quark interactions with the magnetic field.These findings have important implications for(inverse)magnetic catalysis and phenomena such as vector meson and pion condensations.
基金supported by the National Key Basic Research Special Foundation of China (Grant Nos. 2006CB921706 and 2010CB923200)the National Natural Science Foundation of China (Grant Nos. 10574160 and10725420)
摘要The dynamic evolution of a multi-level atom in the three-dimensional photonic crystal under an applied magnetic field is investigated.By combining the Zeeman effect with the photonic band gap effect,the dynamic quantum superposition states and steady quantum coherent trapping states of the atom can be flexibly controlled.This paves the way for coherent manipulation of quantum states in the solid-state system,which has important applications in quantum information processing.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.12004199,U1810129,52076145,and 11904252).
摘要Hyperfine structures and the field effects of IBr molecule in its rovibronic ground state are theoretically studied by diagonalizing the effective Hamiltonian matrix.Perturbations of high-J levels up to 4 are taken into account when studying the hyperfine sub-levels of the J=0 level,and thus,an 80×80 matrix is constructed and solved.Some of the experimentally absent molecular constants are computed using Dalton program.Our results will be helpful in the experimental investigation of manipulation and further cooling of cold IBr molecules.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11604385 and 91536106)the Natural Science Foundation of Hunan Province,China(Grant No.2019JJ50743)the Research Project of the National University of Defense Technology(Grant No.ZK17-03-11)。
摘要Based on the multiconfiguration Dirac-Hartree-Fock(MCDHF)method,similar models are employed to simultaneously calculate the first-order and second-order Zeeman coefficients as well as the hyperfine interaction constants of the related energy levels of 27Al+and its logical ions 9Be+and25Mg+in the27Al+optical clock.With less than 0.34%deviations from experimental values in Zeeman coefficients of27Al+,these calculated parameters will be of great help for better evaluation of the systematic uncertainty.We also calculate the isotope shift parameters of the related energy levels,which could extend our knowledge and understanding of nuclear properties of these ions.
基金the National Natural Science Foundation of China(No.52373311)the Innovation Program for Quantum Science and Technology(No.2021ZD0301605)+3 种基金provided by the National Natural Science Foundation of China(Nos.92263202 and 12374020)the National Key Research and Development Program of China(No.2020YFA0711502)the Strategic Priority Research Program of the Chinese Academy of Sciences(No.XDB33000000)support from the Australian Research Council(ARC Discovery Project,No.DP180102976).
摘要The magnetic proximity effect enables interfacial modulation of excitonic and spin-valley properties in transition metal dichalcogenides(TMDs),offering a versatile route toward next-generation spintronic and valleytronic devices.However,the inherently weak photoluminescence(PL)of bright excitons—suppressed by proximity-induced darkening mechanisms—hinders the optical detection of magnetic interactions.Here,we demonstrate substantial exciton emission enhancement in CrOCl/WSe2(HS)and twisted 90°-CrOCl/CrOCl/WSe2(THS)heterostructures by employing plasmonic Au nanopillar arrays to activate surface plasmon polariton(SPP)coupling.The neutral exciton emission intensity is enhanced by factors of 5 and 18 for HS/Au and THS/Au,respectively,with enhancements persisting under high magnetic fields and elevated temperatures(~10-fold in THS/Au).Enabled by this amplification,we observe pronounced Zeeman splitting and modified intervalley relaxation pathways,indicating significant magnetic proximity interactions.Finite-element simulations and first-principles calculations reveal that the enhancement arises from local electromagnetic field concentration and layer-dependent interfacial coupling.Our results establish SPP-assisted PL enhancement as an effective strategy for probing weak magneto-optical signatures,paving the way for detailed exploration of exciton-magnon coupling and interface-driven quantum phenomena in twodimensional(2D)magnetic heterostructures.
基金Project supported by the National Natural Science Foundation of China (Grant No.12004199)。
摘要The mixed-field effect at the hyperfine level of the rovibronic ground state of the127I79Br(X1Σ,v=0,J=0)molecule is computed on the J-I uncoupled basis of|JMJI1M1I2M2>,where J is the molecular total angular momentum excluding nuclear spin,M_J is the projection number of J,I1 and I2 are the nuclear spins of the iodine and bromine atoms,and M1 and M2 are the projection numbers of I1 and I2,respectively.When the two applied electric and magnetic fields are parallel,the perturbations are rare and only one perturbation is observed in a relatively large field regime in our computation range.However,when the two fields are off-parallel,the perturbations increase significantly and some sublevels show the Feshbach-like resonance phenomenon.Therefore,such sublevels transit between weak-field seeking and strong-field seeking repeatedly,which can be utilized to enhance or suppress cold molecular collision and chemical reaction rates.Such behavior of the molecular hyperfine structure in the mixed off-parallel fields may also be utilized to construct an electric-field-assisted anti-Helmholtz magnetic trap for cold molecules and to realize evaporative cooling of cold molecules(sub-mK)into the ultracold regime(μK).