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

Journal of Physics Communications

Dynamical dephasing of bipartite and tripartite quantum coherence of spin-1/2 XXZ Heisenberg model in a renormalization group approach

Georges Collince Fouokeng, I Nsangou, F. Kuate Fodouop, Martin Tchoffo, Lukong Cornelius Fai

Published Apr 28, 2022• 1 citation
Publisher

Abstract

Abstract The dynamical dephasing of a bipartite and tripartite quantum coherence in spin-1/2 Heisenberg model, driven by an applied magnetic field, in the presence of Dzyaloshinskii-Moriya interaction is investigated. The system is renormalized through the Kadanoof’s blocks approach. It is observed for both bipartite and tripartite schemes that by increasing the size of the system, the quantum coherence measure show an abrupt change at a quantum critical point (QCP). A further increase of the Dzyaloshinskii-Moriya coupling parameter affect the QCP, causing the dynamical dephasing which is the signature of second order quantum phase transition. The displacement of the QCP reduces the Quantum coherence of the system and can be controlled by the external magnetic field strength. Moreover, in a given range of Dzyaloshinskii-Moriya interaction strength and magnetic field, the monogamous and polygamous nature of quantum coherence is related to the size of the system.

DOI
10.1088/2399-6528/ac6b85

Related papers

Dynamic of bipartite and tripartite quantum coherence of a polarized 1/2-XXZ Heisenberg spin chain with modulated Dzyaloshinskii-Moriya interaction

Georges Collince Fouokeng, C. Tahabo Ngueldjou, Martin Tchoffo

Abstract The dynamic analysis of quantum coherence of a polarized 1/2 − XXZ Heisenberg spins chain model with modulated Dzyaloshinskii-Moriya interaction and applied magnetic field, is investigated using quantum renormalization group approaches. In a thermodynamic limits, we derived the coherence factor and the monogamy of entanglement of a bipartite and tripartite states of the modulated system. We find that with increasing the anisotropy factor and decreasing the Dzyaloshinsky-Moriya factor Dz, the quantum coherence and the monogamy of entanglement decrease for the considered model of antiferromagnetic materials and exhibits non-analyticity around the critical point △ = 1 of the anisotropy factor. Note that, the decreasing is more important in the weak regime of the external magnetic field when applied. In addition, we perceive that the non-analytical behavior around the critical value of the anisotropy factor translate quantum phase transition from spin liquid to Néel phase and vice-versa depending on whether spin is localised on an even or odd site in the chain. The application of an external electric tens play a role in stabilizing the spins in preferred orientations and reenforce correlations beneficial for ferroelectricity that opens a route to switch magnetoelectricity with electric polarazation and vice-versa.

•Jun 29, 2023•0 citations

Renormalization of Tripartite Entanglement in Spin Systems with Dzyaloshinskii–Moriya Interaction

Meng Qin, Li Wang, Bili Wang +3 more

Quantum entanglement represents a fundamental feature of quantum many-body systems. We combine tripartite entanglement with quantum renormalization group theory to study the quantum critical phenomena. The Ising model and the Heisenberg X X Z model in the presence of the Dzyaloshinskii–Moriya interaction are adopted as the research objects. We identify that the tripartite entanglement can signal the critical point. The derivative of tripartite entanglement shows singularity as the spin chain size increases. Furthermore, the intuitive scaling behavior of the system selected is studied and the result allows us to precisely quantify the correlation exponent by utilizing the power law .

Chinese Physics Letters•Oct 1, 2018•3 citations

Total quantum coherence close to the quantum critical points in the XXZ model with Dzyaloshinskii–Moriya interaction

Cheng‐Cheng Liu, Shen-Chuan Cen, Zili Liu +5 more

Abstract In this paper, by using the quantum renormalization-group method, we study the relation between total quantum coherence based on l 1 norm and quantum phase transition in the XXZ model with Dzyaloshinskii–Moriya (DM) interaction. Our findings reveal a distribution relation of quantum coherence in this model, i.e. the value of the quantum coherence of a three-site block state is equal to the sum of its reduced state coherence, and this characteristic can be generalized to a multipartite system. Meanwhile, because of favoring the alignment of spins, the anisotropy suppresses the quantum coherence; on the other hand, by creating the quantum fluctuations, the DM interaction can effectively enhance the value of quantum coherence. Additionally, after several iterations of the renormalization, quantum coherence of the whole block state can form two saturated values, which are related to two different phases: spin-fluid phase and Néel phase. Furthermore, we discover that the total quantum coherence of the block–block state obeys the nonanalytic and scaling properties with the quantum coherence exponent associated with correlation length.

Laser Physics Letters•Jun 4, 2021•5 citations

Dzyaloshinskii–Moriya interaction and anisotropy effects on the tripartite quantum discord of Heisenberg XY model

Wajid Joyia, Khalid Khan

In this paper, we address the tripartite quantum discord for the Heisenberg XY chain with the Dzyaloshinskii–Moriya (DM) interaction using the quantum renormalization-group (QRG) method. In thermodynamic limit, like the entanglement, the tripartite discord exhibits the quantum phase transition (QPT) between the spin-fluid and the Neel phases. The effect of the DM interaction and the anisotropy on the features of the tripartite quantum discord has been probed. It is noted that the DM interaction brings the critical point earlier and affects heavily with the size of the system. Moreover, the system requires a larger number of the iterations to achieve the QPT for the tripartite quantum discord as compared to the entanglement.

International Journal of Quantum Information•Apr 1, 2017•2 citations

Two-spin Heisenberg model driven by joint magnetic-dephasing field

Muhammad Noman, Aysha Mazhar, Wei Cui

In this paper, we address the critical roles of various interactions in a two-spin-1/2 XXZ Heisenberg system when driven by an external magnetic field and a quantum channel. Quantum measurements, such as concurrence, linear entropy and fidelity, are utilized to evaluate the entanglement, mixedness, and state similarity of quantum system. Results indicate that magnetic field and the associated angular frequency cause rapid oscillations in the dynamical maps of the system, leading to temporary losses of quantum correlations and increased mixedness. The quantum channel parameter induced non-Markovianity, causing the quantum functions to decay early or delayed depending on the relative strength. Optimal preservation of entanglement and fidelity, with minimal entropy, is achieved under various cases for certain strengths of spin-exchange strength, temperature, anisotropy, Dzyaloshinskii–Moriya (DM) and Kaplan–Shekhtman–Entin–Wohlman–Aharony (KSEA) interactions for the considered state. Finally, the entanglement remains sensitive in comparison to fidelity when the concurrence functions is mainly defined using the inhomogeneous and angular related angular frequency.

International Journal of Modern Physics A•May 16, 2025•3 citations

Quantum coherence of an XY spin chain with Dzyaloshinskii-Moriya interaction and quantum phase transition

Guo-Qing Zhang, Jing‐Bo Xu

Abstract We investigate the quantum coherence of an XY spin chain with Dzyaloshinskii–Moriya interaction using a quantum renormalization group-based method, and show that the relative entropy of coherence increases with Dzyaloshinskii–Moriya interaction strength at zero temperature, as well as at finite temperature. We also study the quantum criticality of the system by making use of the relative entropy of coherence and violation of Bell inequality, and find that the first derivatives of the renormalized quantum coherence exhibit singularity near the critical point of the quantum phase transition. Finally, we explore the finite-size scaling behaviors of the derivatives of the quantum coherence at the critical point of the quantum phase transition, and obtain several universal finite-size scaling laws.

Journal of Physics A Mathematical and Theoretical•Jun 8, 2017•9 citations
Abstract The dynamical dephasing of a bipartite and tripartite quantum coherence in spin-1/2 Heisenberg model, driven by an applied magnetic field, in the presence of Dzyaloshinskii-Moriya interaction is investigated. The system is renormalized through the Kadanoof’s blocks approach. It is observed for both bipartite and tripartite schemes that by increasing the size of the system, the quantum coherence measure show an abrupt change at a quantum critical point (QCP). A further increase of the Dzyaloshinskii-Moriya coupling parameter affect the QCP, causing the dynamical dephasing which is the signature of second order quantum phase transition. The displacement of the QCP reduces the Quantum coherence of the system and can be controlled by the external magnetic field strength. Moreover, in a given range of Dzyaloshinskii-Moriya interaction strength and magnetic field, the monogamous and polygamous nature of quantum coherence is related to the size of the system.
Abstract The dynamic analysis of quantum coherence of a polarized 1/2 − XXZ Heisenberg spins chain model with modulated Dzyaloshinskii-Moriya interaction and applied magnetic field, is investigated using quantum renormalization group approaches. In a thermodynamic limits, we derived the coherence factor and the monogamy of entanglement of a bipartite and tripartite states of the modulated system. We find that with increasing the anisotropy factor and decreasing the Dzyaloshinsky-Moriya factor Dz, the quantum coherence and the monogamy of entanglement decrease for the considered model of antiferromagnetic materials and exhibits non-analyticity around the critical point △ = 1 of the anisotropy factor. Note that, the decreasing is more important in the weak regime of the external magnetic field when applied. In addition, we perceive that the non-analytical behavior around the critical value of the anisotropy factor translate quantum phase transition from spin liquid to Néel phase and vice-versa depending on whether spin is localised on an even or odd site in the chain. The application of an external electric tens play a role in stabilizing the spins in preferred orientations and reenforce correlations beneficial for ferroelectricity that opens a route to switch magnetoelectricity with electric polarazation and vice-versa.
Quantum entanglement represents a fundamental feature of quantum many-body systems. We combine tripartite entanglement with quantum renormalization group theory to study the quantum critical phenomena. The Ising model and the Heisenberg X X Z model in the presence of the Dzyaloshinskii–Moriya interaction are adopted as the research objects. We identify that the tripartite entanglement can signal the critical point. The derivative of tripartite entanglement shows singularity as the spin chain size increases. Furthermore, the intuitive scaling behavior of the system selected is studied and the result allows us to precisely quantify the correlation exponent by utilizing the power law .
Abstract In this paper, by using the quantum renormalization-group method, we study the relation between total quantum coherence based on l 1 norm and quantum phase transition in the XXZ model with Dzyaloshinskii–Moriya (DM) interaction. Our findings reveal a distribution relation of quantum coherence in this model, i.e. the value of the quantum coherence of a three-site block state is equal to the sum of its reduced state coherence, and this characteristic can be generalized to a multipartite system. Meanwhile, because of favoring the alignment of spins, the anisotropy suppresses the quantum coherence; on the other hand, by creating the quantum fluctuations, the DM interaction can effectively enhance the value of quantum coherence. Additionally, after several iterations of the renormalization, quantum coherence of the whole block state can form two saturated values, which are related to two different phases: spin-fluid phase and Néel phase. Furthermore, we discover that the total quantum coherence of the block–block state obeys the nonanalytic and scaling properties with the quantum coherence exponent associated with correlation length.
In this paper, we address the tripartite quantum discord for the Heisenberg XY chain with the Dzyaloshinskii–Moriya (DM) interaction using the quantum renormalization-group (QRG) method. In thermodynamic limit, like the entanglement, the tripartite discord exhibits the quantum phase transition (QPT) between the spin-fluid and the Neel phases. The effect of the DM interaction and the anisotropy on the features of the tripartite quantum discord has been probed. It is noted that the DM interaction brings the critical point earlier and affects heavily with the size of the system. Moreover, the system requires a larger number of the iterations to achieve the QPT for the tripartite quantum discord as compared to the entanglement.
In this paper, we address the critical roles of various interactions in a two-spin-1/2 XXZ Heisenberg system when driven by an external magnetic field and a quantum channel. Quantum measurements, such as concurrence, linear entropy and fidelity, are utilized to evaluate the entanglement, mixedness, and state similarity of quantum system. Results indicate that magnetic field and the associated angular frequency cause rapid oscillations in the dynamical maps of the system, leading to temporary losses of quantum correlations and increased mixedness. The quantum channel parameter induced non-Markovianity, causing the quantum functions to decay early or delayed depending on the relative strength. Optimal preservation of entanglement and fidelity, with minimal entropy, is achieved under various cases for certain strengths of spin-exchange strength, temperature, anisotropy, Dzyaloshinskii–Moriya (DM) and Kaplan–Shekhtman–Entin–Wohlman–Aharony (KSEA) interactions for the considered state. Finally, the entanglement remains sensitive in comparison to fidelity when the concurrence functions is mainly defined using the inhomogeneous and angular related angular frequency.
Abstract We investigate the quantum coherence of an XY spin chain with Dzyaloshinskii–Moriya interaction using a quantum renormalization group-based method, and show that the relative entropy of coherence increases with Dzyaloshinskii–Moriya interaction strength at zero temperature, as well as at finite temperature. We also study the quantum criticality of the system by making use of the relative entropy of coherence and violation of Bell inequality, and find that the first derivatives of the renormalized quantum coherence exhibit singularity near the critical point of the quantum phase transition. Finally, we explore the finite-size scaling behaviors of the derivatives of the quantum coherence at the critical point of the quantum phase transition, and obtain several universal finite-size scaling laws.