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一类TKK代数的Bosonic表示 被引量:1
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作者 夏章生 《厦门大学学报(自然科学版)》 CAS CSCD 北大核心 2010年第3期303-307,共5页
设S是Rn中"最小"的半格,在一个Jordan代数J(S)的基础上,通过所谓的Tits-Kantor-Koecher方法可构造TKK代数T(J(S)).首先给出了由任意一个量子环面Cq得到的李代数gl2(Cq)上的一个Bosonic表示,通过将TKK代数T(J(S))嵌入到一个特... 设S是Rn中"最小"的半格,在一个Jordan代数J(S)的基础上,通过所谓的Tits-Kantor-Koecher方法可构造TKK代数T(J(S)).首先给出了由任意一个量子环面Cq得到的李代数gl2(Cq)上的一个Bosonic表示,通过将TKK代数T(J(S))嵌入到一个特殊的量子环面对应的李代数gl2(Cq)中,得到了TKK代数T(J(S))的一个Bosonic表示.而且,也得到了这个TKK代数T(J(S))的表示的一个忠实的子表示. 展开更多
关键词 TKK代数 bosonic表示 半格
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Coherence of Disordered Bosonic Gas with Two-and Three-Body Interactions 被引量:1
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作者 张欣 鱼自发 薛具奎 《Chinese Physics Letters》 SCIE CAS CSCD 2016年第4期6-9,共4页
We theoretically and numerically investigate the coherence of disordered bosonic gas with effective two- and three-body interactions within a two-site Bose-Hubbard model. By properly adjusting the two- and three-body ... We theoretically and numerically investigate the coherence of disordered bosonic gas with effective two- and three-body interactions within a two-site Bose-Hubbard model. By properly adjusting the two- and three-body interactions and the disorder, the coherence of the system exhibits new and interesting phenomena, including the resonance character of coherence against the disorder in the purely two- or three-body interactions system. More interestingly, the disorder and three-body interactions together can suppress the coherence of the purely three-body interactions system, which is different from the case in which the disorder and two-body interactions together can enhance the coherence in certain values of two.body interaction. Furthermore, when two- or three- body interactions are attractive or repulsive, the phase coherence exhibits completely different phenomena. In particular, if two- or three-body interactions are attractive, the coherence of the system can be significantly enhanced in certain regions. Correspondingly, the phase coherence of the system is strongly related to the effective interaction energy. The results provide a possible way for studying the coherence of bosonic gas with multi-atoms' interactions in the presence of the disorder. 展开更多
关键词 of or in BODY Coherence of Disordered bosonic Gas with Two-and Three-Body Interactions with is that
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Application of Eigenkets of Bosonic Creation Operator in Deriving Some New Formulas of Associated Laguerre Polynomials 被引量:1
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作者 FAN Hong-Yi WANG Tong-Tong 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第8期315-320,共6页
Using the resolution of unity composed of bosonic creation operator's eigenkets and annihilation operator's un-normalized eigenket, which is a new quantum mechanical representation in contour integration form, we de... Using the resolution of unity composed of bosonic creation operator's eigenkets and annihilation operator's un-normalized eigenket, which is a new quantum mechanical representation in contour integration form, we derive new contour integration expression of associated Laguerre polynomials L^ρm (|z|^2) and its generalized generating function formula. A series of recursive relations regarding to L^ρm (|z|^2) are also deduced in the context of the Fock representation by algebraic method. 展开更多
关键词 bosonic creation operator Laguerre polynomials contour integration
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扭Heisenberg-Virasoro代数的Bosonic表示
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作者 荆江雁 刘东 《常熟理工学院学报》 2007年第2期1-5,共5页
主要研究扭Heisenberg-Virasoro代数的Bosonic表示,构造了扭Heisenberg-Virasoro代数的Bosonic表示并研究了其分解.
关键词 扭Heisenberg-Virasoro代数 bosonic表示
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Bosonic and Fermionic Entropy of (2+1)-Dimensional Charged Black Hole
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作者 WANG Yong-Jiu JING Ji-Liang CHEN Ju-Hua 《Communications in Theoretical Physics》 SCIE CAS CSCD 2001年第12期661-664,共4页
From resolving Klein-Gordon equation and Dirac equation in (2+1)-dimensional charged black hole spacetime and using 't Hooft's boundary condition and "quasi-periodic" boundary condition in the thin f... From resolving Klein-Gordon equation and Dirac equation in (2+1)-dimensional charged black hole spacetime and using 't Hooft's boundary condition and "quasi-periodic" boundary condition in the thin film brick wall model of black hole, which is introduced by LIU Weng-Biao and ZHAO Zheng, we obtain the bosonic and fermionic entropy of (2+1)-dimensional charged black hole, and find that the bosonic entropy is three times of fermionic entropy. 展开更多
关键词 bosonic entropy FERMIONIC entropy free energy
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Quantifying nonclassicality of multimode bosonic fields via skew information
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作者 Yue Zhang Shunlong Luo 《Communications in Theoretical Physics》 SCIE CAS CSCD 2021年第4期75-81,共7页
We quantify the nonclassicality of multimode bosonic field states by adopting an information-theoretic approach involving the Wigner-Yanase skew information.The fundamental properties of the quantifier such as convexi... We quantify the nonclassicality of multimode bosonic field states by adopting an information-theoretic approach involving the Wigner-Yanase skew information.The fundamental properties of the quantifier such as convexity,superadditivity,monotonicity,and conservation relations are revealed.The quantifier is illustrated by a variety of typical examples,and applications to the quantification of nonclassical correlations are discussed.Various extensions are indicated. 展开更多
关键词 bosonic fields NONCLASSICALITY Wigner-Yanase skew information multimode states correlations
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Quantum Fisher Information of Driven Multi-particle Systems in Structured Bosonic Reservoirs
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作者 严凯 谢燕青 +1 位作者 黄雨梦 郝翔 《Communications in Theoretical Physics》 SCIE CAS CSCD 2017年第3期261-266,共6页
We investigate the dynamics of the precision of the parameter estimation in many driven atoms, each of which interacts with a local structured bosonic reservoir respectively. The evolution of quantum states for single... We investigate the dynamics of the precision of the parameter estimation in many driven atoms, each of which interacts with a local structured bosonic reservoir respectively. The evolution of quantum states for single driven atom is described by the time local quantum master equation. The dynamics of the quantum Fisher information for many entangled atoms is obtained by means of the supreoperator mapping. The estimation limit is superior to the standard quantum limit during a characteristic interval. At a given time, the precision of parameter estimation can be improved to a maximal value if the number of entangled atoms is chosen to be an optimal value. The optimal number of entangled atoms is determined by the dynamical property. The decay of quantum Fisher information is accelerated with the increase of the number of entangled atoms. 展开更多
关键词 quantum Fisher information parameter estimation quantum entanglement bosonic reservoir
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Quantum Tunneling of Two-Species Cold Bosonic Atoms in Optical Lattices
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作者 YU Zhao-Xian LIU Pu-Ping JIAO Zhi-Yong 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第7期95-96,共2页
In this letter,we have studied quantum tunneling of two-species cold bosonic atoms in an optical lattices.When the optical lattice is not infinitely long and the spin excitations are not in the long-wavelength limit,q... In this letter,we have studied quantum tunneling of two-species cold bosonic atoms in an optical lattices.When the optical lattice is not infinitely long and the spin excitations are not in the long-wavelength limit,quantumtunnelings are presented. 展开更多
关键词 quantum tunneling cold bosonic atom optical lattice
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Symmetry restoring dynamics in a two-species bosonic Josephson junction by using occasional coupling
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作者 Jing Tian Yi-Fan Wang Hai-Bo Qiu 《Communications in Theoretical Physics》 SCIE CAS CSCD 2020年第5期113-119,共7页
In this paper,by employing an occasionally coupling scheme in a two-species bosonic Josephson junction,it is found that for nonlocal measure synchronized states appearing in the two dynamic modes,known as 0-phase mode... In this paper,by employing an occasionally coupling scheme in a two-species bosonic Josephson junction,it is found that for nonlocal measure synchronized states appearing in the two dynamic modes,known as 0-phase mode andπphase mode,their broken-symmetry can be restored.Nevertheless,there are dramatic differences for the results.For 0-phase mode,we can restore the broken symmetry by turning the nonlocal MS state into a conventional quasiperiodic MS state.However,for theπ-phase mode,the broken symmetry is restored accompanied by the appearance of chaotic MS states. 展开更多
关键词 symmetry restoring nonlocal measure synchronization bosonic Josephson junction
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New 3-mode bosonic operator realization of SU(2) Lie algebra:From the point of view of squeezing
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作者 笪诚 陈千帆 范洪义 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第9期62-64,共3页
We consider the quantum mechanical SU(2) transformation e^2λJzJ±e^-2λJz = e^±2λJ±as if the meaning of squeezing with e^±2λ being squeezing parameter. By studying SU(2) operators (J±,... We consider the quantum mechanical SU(2) transformation e^2λJzJ±e^-2λJz = e^±2λJ±as if the meaning of squeezing with e^±2λ being squeezing parameter. By studying SU(2) operators (J±, Jz) from the point of view of squeezing we find that (J±,Jz) can also be realized in terms of 3-mode bosonic operators. Employing this realization, we find the natural representation (the eigenvectors of J+ or J-) of the 3-mode squeezing operator e^2λJz. The idea of considering quantum SU(2) transformation as if squeezing is liable for us to obtain the new bosonic operator realization of SU(2) and new squeezing operators. 展开更多
关键词 quantum mechanical SU(2) transformation 3-mode squeezing operator new 3-mode bosonic op-erator realization of SU(2) Lie algebra
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Evidence for bosonic mode coupling in electron dynamics of LiFeAs superconductor
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作者 Cong Li Guangyang Dai +15 位作者 Yongqing Cai Yang Wang Xiancheng Wang Qiang Gao Guodong Liu Yuan Huang Qingyan Wang Fengfeng Zhang Shenjin Zhang Feng Yang Zhimin Wang Qinjun Peng Zuyan Xu Changqing Jin Lin Zhao X J Zhou 《Chinese Physics B》 SCIE EI CAS CSCD 2020年第10期90-95,共6页
Super-high resolution laser-based angle-resolved photoemission measurements are carried out on LiFeAs superconductor to investigate its electron dynamics. Three energy scales at ~ 20 meV, ~ 34 meV, and ~ 55 meV are re... Super-high resolution laser-based angle-resolved photoemission measurements are carried out on LiFeAs superconductor to investigate its electron dynamics. Three energy scales at ~ 20 meV, ~ 34 meV, and ~ 55 meV are revealed for the first time in the electron self-energy both in the superconducting state and normal state. The ~ 20 meV and ~ 34 meV scales can be attributed to the coupling of electrons with sharp bosonic modes which are most likely phonons. These observations provide definitive evidence on the existence of mode coupling in iron-based superconductors. 展开更多
关键词 angle-resolved photoemission spectroscopy(ARPES) iron-based superconductor electron boson coupling
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Frontier Orbitals, Combustion and Redox Transfer from a Fermionic-Bosonic Orbital Perspective
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作者 Robert C. Allen 《Journal of Modern Physics》 2021年第8期1162-1171,共10页
Oxygenations are highly exergonic, yet combustion of organic matter is not spontaneous in an atmosphere that is 21% O<sub>2</sub>. Electrons are fermions with a quantum spin number<em> s</em> o... Oxygenations are highly exergonic, yet combustion of organic matter is not spontaneous in an atmosphere that is 21% O<sub>2</sub>. Electrons are fermions with a quantum spin number<em> s</em> of 1/2<span style="white-space:nowrap;"><em><span style="white-space:nowrap;">&#295;</span></em></span>. An orbital containing a single electron with <em>s</em> = 1/2 is fermionic. Orbitals can contain a maximum of two electrons with antiparallel spins,<em> i.e.</em>, spin magnetic quantum numbers <em>m</em><sub><em>s</em></sub> of 1/2 and -1/2. An orbital filled by an electron couple has <em>s</em> = 0 and bosonic character. The multiplicity of a reactant is defined as |2(<em>S</em>)| + 1 where <em>S</em> is the total spin quantum number. The Wigner spin conservation rules state that multiplicity is conserved. The transmission coefficient <em>κ</em> of absolute reaction rate theory also indicates the necessity for spin conservation. Burning is fermionic combustion that occurs when sufficient energy is applied to a bosonic molecule to cause homolytic bond cleavage yielding fermionic products capable of reaction with the bifermionic frontier orbitals of triplet multiplicity O<sub>2</sub>. Neutrophil leucocytes kill microorganisms by bosonic combustion and employ two mechanisms for changing the multiplicity of O<sub>2</sub> from triplet to singlet. Microorganisms, composed of bosonic singlet multiplicity molecules, do not directly react with bifermionic O<sub>2</sub>, but are highly susceptible to electrophilic attack by bosonic electronically excited singlet molecular oxygen (<span style="white-space:nowrap;"><sup>1</sup>O<sub>2</sub><sup style="margin-left:-10px;">*</sup></span><span style="font-size:10px;white-space:nowrap;">).</span> Hydride ion (H<sup>-</sup>) transfer is the common mode of cytoplasmic redox metabolism. Bosonic transfer of an orbital electron couple protects from damage by obviating fermionic reaction with bifermionic O<sub>2</sub>. Bosonic coupled electron transfer raises the consideration that quantum tunneling might be involved in facilitating such redox transfer. 展开更多
关键词 FERMION BOSON ORBITAL Spin COMBUSTION Redox Transfer Tunneling
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Superradiant growth anomaly magnification in evolution of vector bosonic condensates bounded by a Kerr black hole with near-horizon reflection
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作者 Nayun Jia Yin-Da Guo +2 位作者 Gui-Rong Liang Zhan-Feng Mai Xin Zhang 《Science China(Physics,Mechanics & Astronomy)》 2025年第4期62-81,共20页
Ultralight vector particles can form evolving condensates around a Kerr black hole(BH)due to superradiant instability.We study the effect of near-horizon reflection on the evolution of this system:by matching three pi... Ultralight vector particles can form evolving condensates around a Kerr black hole(BH)due to superradiant instability.We study the effect of near-horizon reflection on the evolution of this system:by matching three pieces of asymptotic expansions of the Proca equation in Kerr metric and considering the leading order in the electric mode,we present explicit analytical expressions for the corrected spectrum and the superradiant instability rates.Particularly,in high-spin BH cases,we identify an anomalous situation where the superradiance rate is temporarily increased by the reflection parameter R,which also occurs in the scalar scenario,but is largely magnified in vector condensates due to a faster growth rate in dominant mode.We point out that the condition for the growth anomaly in the adiabatic case is that information carried per particle exceeds a certain value δ1/δN>2πκ_(B)√(1+R)/(1-R).We further construct several featured quantities to illustrate it,and formalize the anomalyinduced gravitational wave strain deformation. 展开更多
关键词 SUPERRADIANCE ultralight boson black hole gravitational wave near-horizon reflection
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Bosonic quantum error correction codes in superconducting quantum circuits 被引量:7
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作者 Weizhou Cai Yuwei Ma +2 位作者 Weiting Wang Chang-Ling Zou Luyan Sun 《Fundamental Research》 CAS 2021年第1期50-67,共18页
Quantum information is vulnerable to environmental noise and experimental imperfections,hindering the reli-ability of practical quantum information processors.Therefore,quantum error correction(QEC)that can pro-tect q... Quantum information is vulnerable to environmental noise and experimental imperfections,hindering the reli-ability of practical quantum information processors.Therefore,quantum error correction(QEC)that can pro-tect quantum information against noise is vital for universal and scalable quantum computation.Among many different experimental platforms,superconducting quantum circuits and bosonic encodings in superconducting microwave modes are appealing for their unprecedented potential in QEC.During the last few years,bosonic QEC is demonstrated to reach the break-even point,i.e.the lifetime of a logical qubit is enhanced to exceed that of any individual components composing the experimental system.Beyond that,universal gate sets and fault-tolerant operations on the bosonic codes are also realized,pushing quantum information processing towards the QEC era.In this article,we review the recent progress of the bosonic codes,including the Gottesman-Kitaev-Preskill codes,cat codes,and binomial codes,and discuss the opportunities of bosonic codes in various quantum applications,ranging from fault-tolerant quantum computation to quantum metrology.We also summarize the challenges associated with the bosonic codes and provide an outlook for the potential research directions in the long terms. 展开更多
关键词 Quantum error correction bosonic codes Superconducting quantum circuits Quantum communication Quantum simulation Quantum metrology
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Quantum control of bosonic modes with superconducting circuits 被引量:2
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作者 Wen-Long Ma Shruti Puri +3 位作者 Robert J.Schoelkopf Michel H.Devoret SMGirvin Liang Jiang 《Science Bulletin》 SCIE EI CSCD 2021年第17期1789-1805,M0004,共18页
Bosonic modes have wide applications in various quantum technologies,such as optical photons for quantum communication,magnons in spin ensembles for quantum information storage and mechanical modes for reversible micr... Bosonic modes have wide applications in various quantum technologies,such as optical photons for quantum communication,magnons in spin ensembles for quantum information storage and mechanical modes for reversible microwave-to-optical quantum transduction.There is emerging interest in utilizing bosonic modes for quantum information processing,with circuit quantum electrodynamics(circuit QED)as one of the leading architectures.Quantum information can be encoded into subspaces of a bosonic superconducting cavity mode with long coherence time.However,standard Gaussian operations(e.g.,beam splitting and two-mode squeezing)are insufficient for universal quantum computing.The major challenge is to introduce additional nonlinear control beyond Gaussian operations without adding significant bosonic loss or decoherence.Here we review recent advances in universal control of a single bosonic code with superconducting circuits,including unitary control,quantum feedback control,drivendissipative control and holonomic dissipative control.Various approaches to entangling different bosonic modes are also discussed. 展开更多
关键词 bosonic modes Circuit QED Unitary dynamics Quantum feedback control Driven-dissipative processes Holonomic quantum computation
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DECOMPOSITIONS OF BOSONIC MODULES OF LIE ALGEBRAS W_(1+∞) AND W_(1+∞)(gl_N) 被引量:2
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作者 HU NAIHONG LIU DONG 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2005年第4期633-642,共10页
A bosonic construction (with central charge c = 2) of Lie algebras W1+∞ and W1+∞ (glN), as well as the decompositions into irreducible modules are described. And for W1+∞, when restricted to its Virasoro subalgebra... A bosonic construction (with central charge c = 2) of Lie algebras W1+∞ and W1+∞ (glN), as well as the decompositions into irreducible modules are described. And for W1+∞, when restricted to its Virasoro subalgebra Vir, a bosonic construction and the same decomposition for Vir are obtained. 展开更多
关键词 bosonic representation Virasoro algebra
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Generalized B(m, n), C(n), D(m, n)-graded Lie superalgebras arising from fermionic-bosonic representations
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作者 Jin CHENG 《Frontiers of Mathematics in China》 SCIE CSCD 2016年第6期1451-1470,共20页
We construct fermionic-bosonic representations for a class of generalized B(m, n), C(n), D(m, n)-graded Lie superalgebras coordinatized by quantum tori with nontrivial central extensions.
关键词 Root system graded Lie superalgebras quantum tori fermionic- bosonic reoresentations
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Dynamical phase transitions in a two-species bosonic Josephson junction
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作者 Jing Tian Jun Liu +1 位作者 Hai-Bo Qiu Xiao-Qiang Xi 《Frontiers of physics》 SCIE CSCD 2017年第5期151-158,共8页
We investigate dynamical phase transitions that are induced by interspecies interaction in a two-species bosonic Josephson junctions (B J J), based on semi-classical theory. In zero-phase mode, similar to the case o... We investigate dynamical phase transitions that are induced by interspecies interaction in a two-species bosonic Josephson junctions (B J J), based on semi-classical theory. In zero-phase mode, similar to the case of a single-species B J J, we observe the well-known dynamical phase transition from Josephson oscillation to self-trapping, which can be induced by both enhanced repulsive and attractive interspecies interactions. In π phase mode, dynamical phase transitions are even more interesting and counter- intuitive. We characterize a dynamical phase transition with the merging of two separate phase space domains into one, which is induced by increasing repulsive interspecies interaction. On the other hand, we find that by increasing attractive interspecies interaction, a phase separation of two formally overlapped phase space domains will occur. At last, we reveal that these intriguing dynamical phase transitions are caused by different kinds of bifurcations. 展开更多
关键词 dynamical phase transition bosonic Josephson junction
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Intermediate bosonic metallic state in the superconductor-insulator transition 被引量:1
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《Science Foundation in China》 CAS 2019年第4期15-15,共1页
With the support by the National Natural Science Foundation of China,the research team led by Prof. Li YanRong (李言荣) at the State Key Laboratory of Electronic Thin Films and Integrated Devices,University of Electro... With the support by the National Natural Science Foundation of China,the research team led by Prof. Li YanRong (李言荣) at the State Key Laboratory of Electronic Thin Films and Integrated Devices,University of Electronic Science and Technology of China and Prof. Wang Jian at the International Center for Quantum Materials,Peking University,uncovered the bosonic metallic state in high temperature superconducting films,which was published in Science (DOI:10. 1126/science. aax5798). 展开更多
关键词 METALLIC BOSON SUPERCONDUCTOR
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Higher-Order Topological States in Chiral Split Magnons of Honeycomb Altermagnets
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作者 Xuan Guo Meng-Han Zhang Dao-Xin Yao 《Chinese Physics Letters》 2025年第12期220-225,共6页
We theoretically explore higher-order topological magnons in collinear altermagnets,encompassing a dimensional hierarchy ranging from localized corner modes to propagating hinge excitations.By employing antiferromagne... We theoretically explore higher-order topological magnons in collinear altermagnets,encompassing a dimensional hierarchy ranging from localized corner modes to propagating hinge excitations.By employing antiferromagnetic interlayer coupling in bosonic Bogoliubov–de Gennes Hamiltonian,our work reveals anisotropic surface states and spatially distributed hinge modes propagating along facet intersections.We track the adiabatic evolution of Wannier centers to identify the bulk polarization with second-order topological magnon insulator,where various magnon spectra demonstrate symmetry-protected band structure beyond conventional topology.Leveraging the stability and propagative properties of hinge modes,these unconventional magnons demonstrate manipulability in atomic-scale modifications of termination.Our study integrates altermagnetism with higher-order topology,which advances magnon-based quantum computing processing energy-efficient integrated architectures and information transfer. 展开更多
关键词 propagating hinge excitationsby bosonic bogoliubov de gennes hamiltonianour corner modes adiabatic evolution wannier centers antiferromagnetic interlayer coupling bulk polarization anisotropic surface states collinear altermagnetsencompassing
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