Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Annalen der Physik

Steered Quantum Coherence as a Signature of Topological Quantum Phase Transitions in the Extended XY Model

Ming‐Ming Du, Shi‐Pu Gu, Wei Zhong, Xiao‐Jing Yan, Lan Zhou, Yu‐Bo Sheng

Published Jun 3, 2023• 9 citations
Publisher

Abstract

Abstract In recent years, there has been a surge of interest in exploring coherence measures and correlation measures to characterize topological quantum phase transitions (TQPTs). Here, motivated by the continued push in this direction, the steered quantum coherence (SQC) in the extended XY model is studied to analyze its capability in characterizing TQPTs. It is shown that the first derivative of SQC succeeds in signaling different critical points of TQPTs. In particular, it is found that the SQC is a long‐range correlation and the first derivative of SQC can always accurately identify TQPTs for different site distance.

DOI
10.1002/andp.202300121

Related papers

Steered Quantum Coherence and Quantum Criticality in the XY Model with Dzyaloshinsky–Moriya Interaction

Yu-Xia Xie

The critical behaviors of the steered quantum coherence (SQC) in the transverse field XY model with Dzyaloshinsky–Moriya (DM) interaction are explored. It is found that there is an inflexion for the SQC at the critical field of quantum phase transition (QPT) for two long‐distance spins, and there is a divergence for the derivative of the SQC with respect to the magnetic field at the critical field of QPT for any two spins in the chain. Moreover, SQC shows distinct behaviors in different phase regions of the model, which is also a signature of the QPT. Furthermore, the SQC method is robust in studying quantum criticality even under environmental coupling.

physica status solidi (b)•Nov 29, 2020•14 citations

Steered quantum coherence as a signature of quantum phase transitions in spin chains

Ming‐Liang Hu, Yun-Yue Gao, Heng Fan

We propose to use the steered quantum coherence (SQC) as a signature of quantum phase transitions (QPTs). By considering various spin chain models, including the transverse-field Ising model, $\mathit{XY}$ model, and $\mathit{XX}$ model with three-spin interaction, we showed that the SQC and its first-order derivative succeed in signaling different critical points of QPTs. In particular, the SQC method is effective for any spin pair chosen from the chain, and the strength of SQC, in contrast to entanglement and quantum discord, is insensitive to the distance (provided it is not very short) of the tested spins, which makes it convenient for practical use as there is no need for careful choice of two spins in the chain.

arXiv:2003.02991•Physical Review A•Mar 5, 2020•84 citations

Quantum Fisher information in quantum critical systems with topological characterization

Shaoying Yin, Jie Song, Yujun Zhang +1 more

We study the relationship between the quantum Fisher information (QFI) of spin pairs and the topological quantum phase transitions (TQPTs) of the extended XY model driven by the anisotropies of the nearest-neighbor and the next-nearest-neighbor spins, the transverse magnetic field, and the three-spin interaction. We find that the first derivative of QFI can correctly characterize the TQPTs at absolute zero temperature. Meanwhile, the impacts of the thermal fluctuations and the site distance of spin pairs on the critical behaviors of the QFI are studied. It is found that the first derivative of QFI for the nearest neighbor or the long-distance spin pairs can only correctly characterize the critical points of the TQPTs at sufficiently low temperature. Remarkably, when the anisotropy of the nearest-neighbor and the next-nearest-neighbor spins are the driven parameters and the site distance $R=5$, the QFI itself can characterize the TQPTs at absolute zero temperature.

Physical review. B./Physical review. B•Nov 21, 2019•39 citations

Quantum nonlocality and topological quantum phase transitions in the extended Ising chain

Luzhao Dong, Jia Bao, Bin Guo +1 more

We use two-site quantum nonlocality to identify the topological quantum phase transitions (TQPTs) of the extended Ising model driven by varying system parameters. We investigate how the system parameters, including the anisotropies of the nearest-neighbor and the next-nearest-neighbor spin pairs, the transverse magnetic field, and the three-spin interaction, affect the quantum nonlocality. We show that the nonlocality cannot mark any TQPTs while its first derivative can perfectly characterize the TQPTs. By making the influences of the thermal fluctuations and the site distance of spin pairs on the critical behavior of the TQPTs analysis, we show that the sufficiently low temperature has a slight impact on the features of nonlocality and its first derivative while the site distance of spin pairs can significantly alter the properties of nonlocality and its first derivative. We further present the energy spectra and the trajectories of the winding vectors of the model to demonstrate that the quantum nonlocality can be employed to successfully signalize the TQPTs.

Journal of Physics Condensed Matter•Aug 11, 2022•7 citations

Detecting Conventional and Topological Phase Transitions via Quantum Teleportation

Weiwen 维文 Cheng 程

ABSTRACT We investigate the efficiency of quantum teleportation based on a pair of spin‐qubits from two infinite spin chains at temperature T, quantified by the maximum mean fidelity (MMF). For the XY model, we observe a non‐analytic behavior in the first‐order derivative of MMF near the Ising transition point as temperature approaches zero. We conduct a systematic analysis of the key ingredients governing the quantum criticality, including finite‐temperature scaling behavior and critical exponent. Regarding the anisotropy transition, we find that MMF exhibits phase‐dependent extremal behavior: it reaches a maximum in one phase and a minimum in the other. Furthermore, we demonstrate that MMF can also serve as a sensitive probe that accurately characterizes both the Ising transition and the anisotropy one under the long‐range teleportation protocol. For the extended Ising model, the first‐order derivative of MMF displays singular behavior at all critical points associated with topological quantum phase transition (TQPT) driven by different parameter. Through finite‐temperature scaling analysis, we verify the critical behavior and extract the corresponding critical exponent. The results not only confirm the occurrence of two‐type phase transitions simultaneously in a such system but also reveal that all these transitions belong to the Ising‐type transition.

Annalen der Physik•May 1, 2026•1 citation

Topological orders and quantum phase transitions in a one-dimensional extended quantum compass model

Chen Xi-Hao, Xiujuan Wang

By using the infinite time evolving block decimation in the presentation of infinite matrix product states, we study an extended quantum compass model (EQCM). This model does not only include extremely rich phase diagrams due to competitions of orbital degrees of freedom and anisotropic couplings between pseudospin-1/2 operators but also have the capacity to describe property of protected qubits for quantum computation which leads to lots of attentions paid to the phase boundaries of the EQCM. However, few attentions are paid to long-range topological string correlation order parameters of the EQCM. To study order parameters, one should understand spontaneous symmetry breaking which relates to Landau quantum phase transitions theory. Once spontaneous symmetry breaking happens, there should exist some local order which can be described by a local order parameter. This order parameter can be used to distinguish the phase from others. For continuous quantum phase transitions, in the critical regime, critical exponents can be extracted. Unfortunately, the long-range topological string correlation orders are beyond Landau quantum phase transitions theory, one can not directly use two paradigms of Landau-Ginzburg-Wilson. Usually, one can define a local order parameter by local magnetization. Naturally, one can also refer to this way to define the long-range topological string correlation order parameters by long-range topological string correlations on the following conditions, i.e. the quantum system undergoes a hidden spontaneous symmetry breaking; the long-range topological string correlation order parameter can be used to distinguish the phase from others; for continuous quantum phase transitions, the long-range topological string correlation order parameter satisfies scaling law when control parameter getting close to critical point. Based on above idea, in order to characterize the topological ordered phases and quantum phase transitions in the EQCM, even/odd long-range topological string correlations are introduced based on even/odd bonds. Hereafter, fidelity per lattice site, even/odd long-range topological string correlations, the saturation behavior of odd long-range topological string correlations and order parameters are calculated. The long-range topological string correlations show three distinguished behaviors which include decaying to zero, monotonic saturation and oscillatory saturation. By the above characterizations, oscillatory/monotonic odd long-range topological string correlation order parameter is derived. Then ground-state phase diagram of order parameters is computed which includes oscillatory/monotonic odd long-range topological string correlation order phase and antiferromagnetic phase. In the critical regime, critical exponent β=1/8 extracted from monotonic odd long-range topological string correlation order parameter and local magnetization shows the phase transition belongs to Ising universality. In addition, the phase transition points, the order of the phase transitions of fidelity show consistent with the results of order parameters.

Acta Physica Sinica•Jan 1, 2018•2 citations
Abstract In recent years, there has been a surge of interest in exploring coherence measures and correlation measures to characterize topological quantum phase transitions (TQPTs). Here, motivated by the continued push in this direction, the steered quantum coherence (SQC) in the extended XY model is studied to analyze its capability in characterizing TQPTs. It is shown that the first derivative of SQC succeeds in signaling different critical points of TQPTs. In particular, it is found that the SQC is a long‐range correlation and the first derivative of SQC can always accurately identify TQPTs for different site distance.
The critical behaviors of the steered quantum coherence (SQC) in the transverse field XY model with Dzyaloshinsky–Moriya (DM) interaction are explored. It is found that there is an inflexion for the SQC at the critical field of quantum phase transition (QPT) for two long‐distance spins, and there is a divergence for the derivative of the SQC with respect to the magnetic field at the critical field of QPT for any two spins in the chain. Moreover, SQC shows distinct behaviors in different phase regions of the model, which is also a signature of the QPT. Furthermore, the SQC method is robust in studying quantum criticality even under environmental coupling.
We propose to use the steered quantum coherence (SQC) as a signature of quantum phase transitions (QPTs). By considering various spin chain models, including the transverse-field Ising model, XY\mathit{XY}XY model, and XX\mathit{XX}XX model with three-spin interaction, we showed that the SQC and its first-order derivative succeed in signaling different critical points of QPTs. In particular, the SQC method is effective for any spin pair chosen from the chain, and the strength of SQC, in contrast to entanglement and quantum discord, is insensitive to the distance (provided it is not very short) of the tested spins, which makes it convenient for practical use as there is no need for careful choice of two spins in the chain.
We study the relationship between the quantum Fisher information (QFI) of spin pairs and the topological quantum phase transitions (TQPTs) of the extended XY model driven by the anisotropies of the nearest-neighbor and the next-nearest-neighbor spins, the transverse magnetic field, and the three-spin interaction. We find that the first derivative of QFI can correctly characterize the TQPTs at absolute zero temperature. Meanwhile, the impacts of the thermal fluctuations and the site distance of spin pairs on the critical behaviors of the QFI are studied. It is found that the first derivative of QFI for the nearest neighbor or the long-distance spin pairs can only correctly characterize the critical points of the TQPTs at sufficiently low temperature. Remarkably, when the anisotropy of the nearest-neighbor and the next-nearest-neighbor spins are the driven parameters and the site distance R=5R=5R=5, the QFI itself can characterize the TQPTs at absolute zero temperature.
We use two-site quantum nonlocality to identify the topological quantum phase transitions (TQPTs) of the extended Ising model driven by varying system parameters. We investigate how the system parameters, including the anisotropies of the nearest-neighbor and the next-nearest-neighbor spin pairs, the transverse magnetic field, and the three-spin interaction, affect the quantum nonlocality. We show that the nonlocality cannot mark any TQPTs while its first derivative can perfectly characterize the TQPTs. By making the influences of the thermal fluctuations and the site distance of spin pairs on the critical behavior of the TQPTs analysis, we show that the sufficiently low temperature has a slight impact on the features of nonlocality and its first derivative while the site distance of spin pairs can significantly alter the properties of nonlocality and its first derivative. We further present the energy spectra and the trajectories of the winding vectors of the model to demonstrate that the quantum nonlocality can be employed to successfully signalize the TQPTs.
ABSTRACT We investigate the efficiency of quantum teleportation based on a pair of spin‐qubits from two infinite spin chains at temperature T, quantified by the maximum mean fidelity (MMF). For the XY model, we observe a non‐analytic behavior in the first‐order derivative of MMF near the Ising transition point as temperature approaches zero. We conduct a systematic analysis of the key ingredients governing the quantum criticality, including finite‐temperature scaling behavior and critical exponent. Regarding the anisotropy transition, we find that MMF exhibits phase‐dependent extremal behavior: it reaches a maximum in one phase and a minimum in the other. Furthermore, we demonstrate that MMF can also serve as a sensitive probe that accurately characterizes both the Ising transition and the anisotropy one under the long‐range teleportation protocol. For the extended Ising model, the first‐order derivative of MMF displays singular behavior at all critical points associated with topological quantum phase transition (TQPT) driven by different parameter. Through finite‐temperature scaling analysis, we verify the critical behavior and extract the corresponding critical exponent. The results not only confirm the occurrence of two‐type phase transitions simultaneously in a such system but also reveal that all these transitions belong to the Ising‐type transition.
By using the infinite time evolving block decimation in the presentation of infinite matrix product states, we study an extended quantum compass model (EQCM). This model does not only include extremely rich phase diagrams due to competitions of orbital degrees of freedom and anisotropic couplings between pseudospin-1/2 operators but also have the capacity to describe property of protected qubits for quantum computation which leads to lots of attentions paid to the phase boundaries of the EQCM. However, few attentions are paid to long-range topological string correlation order parameters of the EQCM. To study order parameters, one should understand spontaneous symmetry breaking which relates to Landau quantum phase transitions theory. Once spontaneous symmetry breaking happens, there should exist some local order which can be described by a local order parameter. This order parameter can be used to distinguish the phase from others. For continuous quantum phase transitions, in the critical regime, critical exponents can be extracted. Unfortunately, the long-range topological string correlation orders are beyond Landau quantum phase transitions theory, one can not directly use two paradigms of Landau-Ginzburg-Wilson. Usually, one can define a local order parameter by local magnetization. Naturally, one can also refer to this way to define the long-range topological string correlation order parameters by long-range topological string correlations on the following conditions, i.e. the quantum system undergoes a hidden spontaneous symmetry breaking; the long-range topological string correlation order parameter can be used to distinguish the phase from others; for continuous quantum phase transitions, the long-range topological string correlation order parameter satisfies scaling law when control parameter getting close to critical point. Based on above idea, in order to characterize the topological ordered phases and quantum phase transitions in the EQCM, even/odd long-range topological string correlations are introduced based on even/odd bonds. Hereafter, fidelity per lattice site, even/odd long-range topological string correlations, the saturation behavior of odd long-range topological string correlations and order parameters are calculated. The long-range topological string correlations show three distinguished behaviors which include decaying to zero, monotonic saturation and oscillatory saturation. By the above characterizations, oscillatory/monotonic odd long-range topological string correlation order parameter is derived. Then ground-state phase diagram of order parameters is computed which includes oscillatory/monotonic odd long-range topological string correlation order phase and antiferromagnetic phase. In the critical regime, critical exponent β=1/8 extracted from monotonic odd long-range topological string correlation order parameter and local magnetization shows the phase transition belongs to Ising universality. In addition, the phase transition points, the order of the phase transitions of fidelity show consistent with the results of order parameters.