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学者姓名：余雪佳
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Long-range interactions can fundamentally alter properties in gapped topological phases such as emergent massive edge modes. However, recent research has shifted attention to topological nontrivial critical points or phases, and it is natural to explore how long-range interactions influence them. In this work, we investigate the topological behavior at the quantum critical point of extended Kitaev chains with long-range interactions, which can be derived from the critical Ising model via the Jordan-Wigner transformation in the short-range limit. Specifically, we analytically find that the critical edge modes at the critical point remain stable against long-range interactions. More importantly, we observe that these critical edge modes remain massless even when long- range interactions become very strong. As a by-product, we numerically find that the critical behavior of the long-range model belongs to the free-Majorana-fermion universality class, which is entirely different from the long-range universality class in the usual long-range spin models. Our work could shed new light on the interplay between long-range interactions (frustrated) and the gapless topological phases of matter. © 2024 American Physical Society.
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| GB/T 7714 | Zhong, W.-H. , Li, W.-L. , Chen, Y.-C. et al. Topological edge modes and phase transitions in a critical fermionic chain with long-range interactions [J]. | Physical Review A , 2024 , 110 (2) . |
| MLA | Zhong, W.-H. et al. "Topological edge modes and phase transitions in a critical fermionic chain with long-range interactions" . | Physical Review A 110 . 2 (2024) . |
| APA | Zhong, W.-H. , Li, W.-L. , Chen, Y.-C. , Yu, X.-J. . Topological edge modes and phase transitions in a critical fermionic chain with long-range interactions . | Physical Review A , 2024 , 110 (2) . |
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Parametrically driven nonlinear resonators represent a building block for realizing fault-tolerant quantum computation and are useful for critical quantum sensing. From a fundamental viewpoint, the most intriguing feature of such a system is perhaps the critical phenomena, which can occur without interaction with any other quantum system. The non-analytic behaviors of its eigenspectrum have been substantially investigated, but those associated with the ground state wavefunction have largely remained unexplored. Using the quantum ground state geometric tensor as an indicator, we comprehensively establish a phase diagram involving the driving parameter ε and phase ϕ. The results reveal that with the increase in ε, the system undergoes a quantum phase transition from the normal to the symmetry-breaking phase, with the critical point unaffected by ϕ. Furthermore, the critical exponent and scaling dimension are obtained by an exact numerical method, which is consistent with previous works. Our numerical results show that the phase transition falls within the universality class of the quantum Rabi model. This work reveals that the quantum metric and Berry curvature display diverging behaviors across the quantum phase transition. © 2024 Optica Publishing Group under the terms of the Optica Open Access Publishing Agreement.
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| GB/T 7714 | Zhang, H.-L. , Lü, J.-H. , Chen, K. et al. Critical quantum geometric tensors of parametrically-driven nonlinear resonators [J]. | Optics Express , 2024 , 32 (13) : 22566-22577 . |
| MLA | Zhang, H.-L. et al. "Critical quantum geometric tensors of parametrically-driven nonlinear resonators" . | Optics Express 32 . 13 (2024) : 22566-22577 . |
| APA | Zhang, H.-L. , Lü, J.-H. , Chen, K. , Yu, X.-J. , Wu, F. , Yang, Z.-B. et al. Critical quantum geometric tensors of parametrically-driven nonlinear resonators . | Optics Express , 2024 , 32 (13) , 22566-22577 . |
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The phase transition between gapped topological phases represents a class of unconventional criticality beyond the Landau paradigm. However, recent research has shifted attention to topological phases without a bulk gap, where the phase transitions between them are still elusive. In this work, based on large-scale density-matrix renormalization-group techniques, we investigate the critical behaviors of the extended quantum XXZ model obtained by the Kennedy-Tasaki transformation. Using fidelity susceptibility as a diagnostic, we obtain a complete phase diagram, which includes both topological nontrivial and trivial gapless phases. Furthermore, as the XXZ-type anisotropy parameter A varies, both the critical points hc and correlation length exponent y remain the same as in the A = 0 case, characterized by c = 3/2 (Ising plus free boson) conformal field theory. Our results indicate that fidelity susceptibility can effectively detect and reveal a stable unconventional critical line between the topologically distinct gapless phases for general Delta. This work serves as a valuable reference for further research on phase transitions within the gapless topological phase of matter.
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| GB/T 7714 | Zhang, Hao-Long , Li, Han-Ze , Yang, Sheng et al. Quantum phase transition and critical behavior between the gapless topological phases [J]. | PHYSICAL REVIEW A , 2024 , 109 (6) . |
| MLA | Zhang, Hao-Long et al. "Quantum phase transition and critical behavior between the gapless topological phases" . | PHYSICAL REVIEW A 109 . 6 (2024) . |
| APA | Zhang, Hao-Long , Li, Han-Ze , Yang, Sheng , Yu, Xue-Jia . Quantum phase transition and critical behavior between the gapless topological phases . | PHYSICAL REVIEW A , 2024 , 109 (6) . |
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Abstract ：
Long-range interactions can fundamentally alter properties in gapped topological phases such as emergent massive edge modes. However, recent research has shifted attention to topological nontrivial critical points or phases, and it is natural to explore how long-range interactions influence them. In this work, we investigate the topological behavior at the quantum critical point of extended Kitaev chains with long-range interactions, which can be derived from the critical Ising model via the Jordan-Wigner transformation in the short-range limit. Specifically, we analytically find that the critical edge modes at the critical point remain stable against long-range interactions. More importantly, we observe that these critical edge modes remain massless even when longrange interactions become very strong. As a by-product, we numerically find that the critical behavior of the long-range model belongs to the free-Majorana-fermion universality class, which is entirely different from the long-range universality class in the usual long-range spin models. Our work could shed new light on the interplay between long-range interactions (frustrated) and the gapless topological phases of matter.
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| GB/T 7714 | Zhong, Wen-Hao , Li, Wei-Lin , Chen, Yong-Chang et al. Topological edge modes and phase transitions in a critical fermionic chain with long-range interactions [J]. | PHYSICAL REVIEW A , 2024 , 110 (2) . |
| MLA | Zhong, Wen-Hao et al. "Topological edge modes and phase transitions in a critical fermionic chain with long-range interactions" . | PHYSICAL REVIEW A 110 . 2 (2024) . |
| APA | Zhong, Wen-Hao , Li, Wei-Lin , Chen, Yong-Chang , Yu, Xue-Jia . Topological edge modes and phase transitions in a critical fermionic chain with long-range interactions . | PHYSICAL REVIEW A , 2024 , 110 (2) . |
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By constructing an exactly solvable spin model, we investigate the critical behaviors of transverse-field Ising chains interpolated with cluster interactions, which exhibit various types of topologically distinct Ising critical points. Using fidelity susceptibility as an indicator, we establish the global phase diagram, including ferromagnetic, trivial paramagnetic, and symmetry-protected topological phases. Different types of critical points exist between these phases, encompassing both topologically trivial and nontrivial Ising critical points, as well as Gaussian critical points. Importantly, we demonstrate the existence of a Lifshitz transition between these topologically distinct Ising critical points, with central charge and critical exponents determined through finite-size scaling. This work serves as a valuable reference for further research on phase transitions within the gapless quantum phase of matter.
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| GB/T 7714 | Yu, Xue-Jia , Li, Wei-Lin . Fidelity susceptibility at the Lifshitz transition between the noninteracting topologically distinct quantum critical points [J]. | PHYSICAL REVIEW B , 2024 , 110 (4) . |
| MLA | Yu, Xue-Jia et al. "Fidelity susceptibility at the Lifshitz transition between the noninteracting topologically distinct quantum critical points" . | PHYSICAL REVIEW B 110 . 4 (2024) . |
| APA | Yu, Xue-Jia , Li, Wei-Lin . Fidelity susceptibility at the Lifshitz transition between the noninteracting topologically distinct quantum critical points . | PHYSICAL REVIEW B , 2024 , 110 (4) . |
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In the past few decades, tremendous efforts have been made toward understanding the exotic physics emerging from competition between various ordering tendencies in strongly correlated systems. Employing state-of-the-art quantum Monte Carlo simulation, we investigate an interacting SU(N) fermionic model with varying interaction strength and value of N, and we unveil the ground -state phase diagram of the model exhibiting a plethora of exotic phases. For small values of N-namely, N = 2, 3-the ground state is an antiferromagnetic (AFM) phase, whereas in the large -N limit, a staggered valence bond solid (VBS) order is dominant. For intermediate values of N such as N = 4, 5, remarkably, our study reveals that distinct VBS orders appear in the weak and strong coupling regimes. More fantastically, the competition between staggered and columnar VBS ordering tendencies gives rise to a Mott insulating phase without spontaneous symmetry breaking (SSB), existing in a large interacting parameter regime, which is consistent with a gapped quantum spin liquid. Our study not only provides a platform to investigate the fundamental physics of quantum many -body systems-it also offers a novel route toward searching for exotic states of matter such as quantum spin liquid in realistic quantum materials.
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| GB/T 7714 | Yu, Xue-Jia , Shi, Shao-Hang , Xu, Limei et al. Emergence of Competing Orders and Possible Quantum Spin Liquid in SU(N) Fermions [J]. | PHYSICAL REVIEW LETTERS , 2024 , 132 (3) . |
| MLA | Yu, Xue-Jia et al. "Emergence of Competing Orders and Possible Quantum Spin Liquid in SU(N) Fermions" . | PHYSICAL REVIEW LETTERS 132 . 3 (2024) . |
| APA | Yu, Xue-Jia , Shi, Shao-Hang , Xu, Limei , Li, Zi-Xiang . Emergence of Competing Orders and Possible Quantum Spin Liquid in SU(N) Fermions . | PHYSICAL REVIEW LETTERS , 2024 , 132 (3) . |
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We investigate the entanglement dynamics of the non-Hermitian Aubry-Andre-Harper chain. The results reveal that by increasing quasiperiodic strength, a phase transition occurs from the area law induced by non-Hermitian skin effect to the area law arising from Anderson localization. For the former, the entanglement entropy follows a nonmonotonic process, i.e., it increases first, then oscillates, and finally converges to a stable value while, for the latter, the entanglement entropy remains low because the wave function is not expandable in Anderson's localization region. The early-stage behavior of entanglement entropy indicates that the two area-law cases are of different phases. Interestingly, the volume-law behavior emerges at the critical point between these two area-law phases. Our study reveals that the area laws induced by the skin effect and the Anderson localization are two different phases, and that a volume law can emerge at the phase transition point. The understanding of the entanglement phase transition induced by disorder and skin effect is thus deepened.
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| GB/T 7714 | Li, Shan-Zhong , Yu, Xue-Jia , Li, Zhi . Emergent entanglement phase transitions in non-Hermitian Aubry-André-Harper chains [J]. | PHYSICAL REVIEW B , 2024 , 109 (2) . |
| MLA | Li, Shan-Zhong et al. "Emergent entanglement phase transitions in non-Hermitian Aubry-André-Harper chains" . | PHYSICAL REVIEW B 109 . 2 (2024) . |
| APA | Li, Shan-Zhong , Yu, Xue-Jia , Li, Zhi . Emergent entanglement phase transitions in non-Hermitian Aubry-André-Harper chains . | PHYSICAL REVIEW B , 2024 , 109 (2) . |
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Exotic quantum phases and phase transition in the strongly interacting Dirac systems have attracted tremendous interests. On the other hand, non-Hermitian physics, usually associated with dissipation arising from the coupling to environment, emerges as a frontier of modern physics in recent years. In this Letter, we investigate the interplay between non-Hermitian physics and strong correlation in Dirac-fermion systems. We generalize the projector quantum Monte-Carlo (PQMC) algorithm to the non-Hermitian interacting fermionic systems. Employing PQMC simulation, we decipher the ground-state phase diagram of the honeycomb Hubbard model with spin resolved non-Hermitian asymmetric hopping processes. The antiferromagnetic (AFM) ordering induced by Hubbard interaction is enhanced by the non-Hermitian asymmetric hopping. Combining PQMC simulation and renormalization group analysis, we reveal that the quantum phase transition between Dirac semi-metal and AFM phases belongs to Hermitian chiral XY universality class, implying that a Hermitian Gross-Neveu transition is emergent at the quantum critical point although the model is non-Hermitian.
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| GB/T 7714 | Yu, Xue-Jia , Pan, Zhiming , Xu, Limei et al. Non-Hermitian Strongly Interacting Dirac Fermions [J]. | PHYSICAL REVIEW LETTERS , 2024 , 132 (11) . |
| MLA | Yu, Xue-Jia et al. "Non-Hermitian Strongly Interacting Dirac Fermions" . | PHYSICAL REVIEW LETTERS 132 . 11 (2024) . |
| APA | Yu, Xue-Jia , Pan, Zhiming , Xu, Limei , Li, Zi-Xiang . Non-Hermitian Strongly Interacting Dirac Fermions . | PHYSICAL REVIEW LETTERS , 2024 , 132 (11) . |
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Abstract ：
Parametrically driven nonlinear resonators represent a building block for realizing fault -tolerant quantum computation and are useful for critical quantum sensing. From a fundamental viewpoint, the most intriguing feature of such a system is perhaps the critical phenomena, which can occur without interaction with any other quantum system. The nonanalytic behaviors of its eigenspectrum have been substantially investigated, but those associated with the ground state wavefunction have largely remained unexplored. Using the quantum ground state geometric tensor as an indicator, we comprehensively establish a phase diagram involving the driving parameter epsilon and phase 0 . The results reveal that with the increase in epsilon , the system undergoes a quantum phase transition from the normal to the symmetry -breaking phase, with the critical point unaffected by 0 . Furthermore, the critical exponent and scaling dimension are obtained by an exact numerical method, which is consistent with previous works. Our numerical results show that the phase transition falls within the universality class of the quantum Rabi model. This work reveals that the quantum metric and Berry curvature display diverging behaviors across the quantum phase transition. (c) 2024 Optica Publishing Group under the terms of the Optica Open Access Publishing Agreement
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| GB/T 7714 | Zhang, Hao-long , Lu, Jia-hao , Chen, Ken et al. Critical quantum geometric tensors of parametrically-driven nonlinear resonators [J]. | OPTICS EXPRESS , 2024 , 32 (13) : 22566-22577 . |
| MLA | Zhang, Hao-long et al. "Critical quantum geometric tensors of parametrically-driven nonlinear resonators" . | OPTICS EXPRESS 32 . 13 (2024) : 22566-22577 . |
| APA | Zhang, Hao-long , Lu, Jia-hao , Chen, Ken , Yu, Xue-jia , Wu, Fan , Yang, Zhen-biao et al. Critical quantum geometric tensors of parametrically-driven nonlinear resonators . | OPTICS EXPRESS , 2024 , 32 (13) , 22566-22577 . |
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Quantum entanglement marks a definitive feature of topological states. However, the entanglement spectrum remains insufficiently explored for topological states without a bulk energy gap. Using a combination of field theory and numerical techniques, we accurately calculate and analyze the entanglement spectrum of gapless symmetry protected topological states in one dimension. We highlight that the universal entanglement spectrum not only encodes the nontrivial edge degeneracy, generalizing the Li-Haldane conjecture to gapless topological states, but also contains the operator content of the underlying boundary conformal field theory. This implies that the bulk wave function can act as a fingerprint of both quantum criticality and topology in gapless symmetry protected topological states. We also identify a symmetry enriched conformal boundary condition that goes beyond the conventional conformal boundary condition.
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| GB/T 7714 | Yu, Xue-Jia , Yang, Sheng , Lin, Hai-Qing et al. Universal Entanglement Spectrum in One-Dimensional Gapless Symmetry Protected Topological States [J]. | PHYSICAL REVIEW LETTERS , 2024 , 133 (2) . |
| MLA | Yu, Xue-Jia et al. "Universal Entanglement Spectrum in One-Dimensional Gapless Symmetry Protected Topological States" . | PHYSICAL REVIEW LETTERS 133 . 2 (2024) . |
| APA | Yu, Xue-Jia , Yang, Sheng , Lin, Hai-Qing , Jian, Shao-Kai . Universal Entanglement Spectrum in One-Dimensional Gapless Symmetry Protected Topological States . | PHYSICAL REVIEW LETTERS , 2024 , 133 (2) . |
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