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学者姓名：余雪佳
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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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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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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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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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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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Based on time-dependent variational-principle algorithms, we investigate the dynamical critical behavior of quantum three-state Potts chains with chiral interactions. Using the Loschmidt echo, dynamical order parameter, and entanglement entropy as an indicator, we show that as the chiral interaction 0 increases, the first critical time t1* shifts towards lower values, indicating a chirality-related dynamical phase transition. Moreover, we perform dynamical scaling for the Loschmidt echo and obtain the critical exponent nu at the nonconformal critical point. The results show that as the chiral interaction 0 increases, the correlation-length exponent nu decreases, which is similar to the long-range interaction case. Finally, we give a simple physical argument to understand the above numerical results. This work provides a useful reference for further research on many-body physics out of equilibrium with chiral interaction.
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| GB/T 7714 | Yu, Xue-Jia . Dynamical phase transition and scaling in the chiral clock Potts chain [J]. | PHYSICAL REVIEW A , 2023 , 108 (6) . |
| MLA | Yu, Xue-Jia . "Dynamical phase transition and scaling in the chiral clock Potts chain" . | PHYSICAL REVIEW A 108 . 6 (2023) . |
| APA | Yu, Xue-Jia . Dynamical phase transition and scaling in the chiral clock Potts chain . | PHYSICAL REVIEW A , 2023 , 108 (6) . |
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Over the past few decades, tremendous efforts have been devoted to understanding self-duality at the quantum critical point, which enlarges the global symmetry and constrains the dynamics. A one-dimensional spin chain is an ideal platform for the theoretical investigation of these exotic phenomena, due to powerful simulation methods such as the density matrix renormalization group. Deconfined quantum criticality with self-duality at the critical point has been found in an extended short-range spin chain. In this work, we employ large-scale density matrix renormalization group simulations to investigate a critical spin chain with long-range power-law interaction V (r) similar to 1/r alpha. Remarkably, we reveal that the long-range interaction drives the original deconfined criticality towards a first-order phase transition as alpha decreases. More strikingly, the emergent self-duality leads to an enlarged symmetry and manifests at these first-order critical points. This discovery is reminiscent of selfduality protected multicritical points, and it provides an example of the critical line with generalized symmetry. Our work has far-reaching implications for ongoing experimental efforts in Rydberg atom quantum simulators.
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| GB/T 7714 | Yang, Sheng , Pan, Zhiming , Lu, Da-Chuan et al. Emergent self-duality in a long-range critical spin chain: From deconfined criticality to first-order transition [J]. | PHYSICAL REVIEW B , 2023 , 108 (24) . |
| MLA | Yang, Sheng et al. "Emergent self-duality in a long-range critical spin chain: From deconfined criticality to first-order transition" . | PHYSICAL REVIEW B 108 . 24 (2023) . |
| APA | Yang, Sheng , Pan, Zhiming , Lu, Da-Chuan , Yu, Xue-Jia . Emergent self-duality in a long-range critical spin chain: From deconfined criticality to first-order transition . | PHYSICAL REVIEW B , 2023 , 108 (24) . |
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