DOI: 10.57760/sciencedb.27897
title: the data in the article
title: 论文用到的数据《各向异性次欧姆系统中的非平凡量子临界性：超越传统自旋-玻色子物理学》

description: This dataset is based on large-scale numerical variational simulations to study the ground-state quantum phase transitions in the anisotropic spin-boson model. For detailed simulation methods, please refer to the corresponding journal paper and master's thesis Numerical Study of Quantum Phase Transitions in Spin-Boson Coupled Systems.To facilitate direct comparison with figures in the paper, the data is saved in .agr format and can be viewed using xmgrace software (download at: https://plasma-gate.weizmann.ac.il/Grace/).The data is organized into five folders corresponding to different cases discussed in the paper:fig_gamma=0‌ (Rotating-wave approximation, gamma=0):AB_ga_0025.agr → Fig.7(a): Mean values of coherent state weights A/B reflecting ground-state wavefunction structurede_001_ga_0.agr → Fig.6(c): Phase transition sequences vs. coupling strength at δ=0.01de_0025_ga_0.agr → Fig.6(b): Phase transition sequences at δ=0.025de_005_ga_0.agr → Fig.6(a): Phase transition sequences at δ=0.05de_0_ga_0.agr → Fig.6(d): Single phase transition at δ=0entropy_01.agr → Fig.5(c): von Neumann entropy behavior at strong tunneling (δ=0.1)fg_01.agr → Fig.5(d): Coherent state displacement vs. frequency at δ=0.1fg_de_ga_0.agr → Fig.7(b): Displacement characteristics in states I-IVsigma_x_ga_0.agr → Fig.5(b): Spin coherence & parity at δ=0.1sigma_z_01.agr → Fig.5(a): Spin magnetization at δ=0.1fig_gamma=1‌ (Diagonal coupling, gamma=1):AB.agr → Fig.3(a): Coherent state weightscor.agr → (Not in paper): Quantum correlations in bosonic bathcor_ts.agr → (Not in paper): Critical point identification via correlation slopesfg.agr → Fig.3(c): Effective energy scale from displacementfg_de.agr → Fig.3(b): Displacement features across phasesgs_energy.agr → (Not in paper): Ground-state energy vs. couplingparity.agr → Fig.1(a): Z₂ symmetry breakingphase_ga_1.agr → Fig.9(a): Phase diagramphonon_total.agr → (Not in paper): Total phonon numbersigma_x.agr → (Not in paper): Spin coherencesigma_z.agr → Fig.1(b): Spin magnetizationS_v-n.agr → Fig.2(a): von Neumann entropyxp.agr → Fig.2(b): Quantum fluctuationsfig_gamma=-1‌ (Off-diagonal coupling, gamma=-1):parity_2.agr → Fig.4(a): Symmetry parametersigma_xz.agr → Fig.4(b): Spin coherence/magnetization & entropyfig_gamma=2‌ (Counter-rotating terms, gamma=2):AB_ga_2.agr → Fig.8(c): Coherent state weightsfg_ga_2.agr → Fig.8(d): Displacement characteristicsparity.agr → Fig.8(a): Z₂ symmetry breakingphase_ga_02.agr → Fig.9(b): Phase diagramSv-n.agr → Fig.8(b): von Neumann entropynew‌ (Critical behaviors & validation):a_002.agr → (Not in paper): Spin magnetization at g=0.02a_003.agr → (Not in paper): At g=0.03a_004.agr → (Not in paper): At g=0.04a_005.agr → (Not in paper): At g=0.05gamma=0_sigma_z.agr → Fig.10(d): Strong-coupling magnetization (γ=0)gamma=0_sigma_z_try2.agr → Fig.10(c): Weak-coupling magnetization (γ=0)gamma=1_sigma_z.agr → Fig.10(a): Magnetization (γ=1)gamma=2_sigma_z.agr → Fig.10(b): Magnetization (γ=2)M_Eg_ga_0.agr → Appendix A Fig.1(b) main: Energy vs. boson modes (γ=0)M_Eg_ga_1.agr → Appendix A Fig.1(a) main: Energy vs. modes (γ=1)N_Eg_ga_0.agr → Appendix A Fig.1(b) inset: Energy vs. coherent states (γ=0)N_Eg_ga_1.agr → Appendix A Fig.1(a) inset: Energy vs. states (γ=1)N_M_Eg_ga_0.agr → Appendix A Fig.1(b) fullN_M_Eg_ga_1.agr → Appendix A Fig.1(a) full '''Note: Grace (xmgrace) is a WYSIWYG 2D plotting tool supporting Unix-like systems and Windows, with features including vector graphics export (PS/PDF/SVG), curve fitting, FFT analysis, and programmable customization.
description: This dataset is based on large-scale numerical variational simulations to study the ground-state quantum phase transitions in the anisotropic spin-boson model. For detailed simulation methods, please refer to the corresponding journal paper and master's thesis Numerical Study of Quantum Phase Transitions in Spin-Boson Coupled Systems.To facilitate direct comparison with figures in the paper, the data is saved in .agr format and can be viewed using xmgrace software (download at: https://plasma-gate.weizmann.ac.il/Grace/).The data is organized into five folders corresponding to different cases discussed in the paper:fig_gamma=0‌ (Rotating-wave approximation, gamma=0):AB_ga_0025.agr → Fig.7(a): Mean values of coherent state weights A/B reflecting ground-state wavefunction structurede_001_ga_0.agr → Fig.6(c): Phase transition sequences vs. coupling strength at δ=0.01de_0025_ga_0.agr → Fig.6(b): Phase transition sequences at δ=0.025de_005_ga_0.agr → Fig.6(a): Phase transition sequences at δ=0.05de_0_ga_0.agr → Fig.6(d): Single phase transition at δ=0entropy_01.agr → Fig.5(c): von Neumann entropy behavior at strong tunneling (δ=0.1)fg_01.agr → Fig.5(d): Coherent state displacement vs. frequency at δ=0.1fg_de_ga_0.agr → Fig.7(b): Displacement characteristics in states I-IVsigma_x_ga_0.agr → Fig.5(b): Spin coherence & parity at δ=0.1sigma_z_01.agr → Fig.5(a): Spin magnetization at δ=0.1fig_gamma=1‌ (Diagonal coupling, gamma=1):AB.agr → Fig.3(a): Coherent state weightscor.agr → (Not in paper): Quantum correlations in bosonic bathcor_ts.agr → (Not in paper): Critical point identification via correlation slopesfg.agr → Fig.3(c): Effective energy scale from displacementfg_de.agr → Fig.3(b): Displacement features across phasesgs_energy.agr → (Not in paper): Ground-state energy vs. couplingparity.agr → Fig.1(a): Z₂ symmetry breakingphase_ga_1.agr → Fig.9(a): Phase diagramphonon_total.agr → (Not in paper): Total phonon numbersigma_x.agr → (Not in paper): Spin coherencesigma_z.agr → Fig.1(b): Spin magnetizationS_v-n.agr → Fig.2(a): von Neumann entropyxp.agr → Fig.2(b): Quantum fluctuationsfig_gamma=-1‌ (Off-diagonal coupling, gamma=-1):parity_2.agr → Fig.4(a): Symmetry parametersigma_xz.agr → Fig.4(b): Spin coherence/magnetization & entropyfig_gamma=2‌ (Counter-rotating terms, gamma=2):AB_ga_2.agr → Fig.8(c): Coherent state weightsfg_ga_2.agr → Fig.8(d): Displacement characteristicsparity.agr → Fig.8(a): Z₂ symmetry breakingphase_ga_02.agr → Fig.9(b): Phase diagramSv-n.agr → Fig.8(b): von Neumann entropynew‌ (Critical behaviors & validation):a_002.agr → (Not in paper): Spin magnetization at g=0.02a_003.agr → (Not in paper): At g=0.03a_004.agr → (Not in paper): At g=0.04a_005.agr → (Not in paper): At g=0.05gamma=0_sigma_z.agr → Fig.10(d): Strong-coupling magnetization (γ=0)gamma=0_sigma_z_try2.agr → Fig.10(c): Weak-coupling magnetization (γ=0)gamma=1_sigma_z.agr → Fig.10(a): Magnetization (γ=1)gamma=2_sigma_z.agr → Fig.10(b): Magnetization (γ=2)M_Eg_ga_0.agr → Appendix A Fig.1(b) main: Energy vs. boson modes (γ=0)M_Eg_ga_1.agr → Appendix A Fig.1(a) main: Energy vs. modes (γ=1)N_Eg_ga_0.agr → Appendix A Fig.1(b) inset: Energy vs. coherent states (γ=0)N_Eg_ga_1.agr → Appendix A Fig.1(a) inset: Energy vs. states (γ=1)N_M_Eg_ga_0.agr → Appendix A Fig.1(b) fullN_M_Eg_ga_1.agr → Appendix A Fig.1(a) full '''Note: Grace (xmgrace) is a WYSIWYG 2D plotting tool supporting Unix-like systems and Windows, with features including vector graphics export (PS/PDF/SVG), curve fitting, FFT analysis, and programmable customization.