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3 results for “sine-Gordon”
Energy spectra and eigenvectors of the sine-Gordon and double sine-Gordon model
<p>This dataset contains low-energy spectra and eigenvectors of two (1+1)-dimensional Quantum Field Theory models, the sine-Gordon (SG) and the double sine-Gordon (DSG) model, for a representative choice of parameter values. The data were computed using the Truncated Conformal Space Approach (TCSA), which is a Hamiltonian truncation method.</p> <p> </p> <p><strong>Parameters:</strong></p> <ul> <li>Cosine frequencies: <em>β</em> = 2.49239 for SG and <em>β</em><sub>1</sub> = 1.01066 and <em>β</em><sub>2</sub> = 2.49239 for DSG</li> <li>Dimensionless (mass)⨉(system size) parameter (<em>m</em>: first SG breather mass, <em>L</em>: system size): <em>mL</em> = 0.01, 0.1, 1, 2, 5</li> </ul> <p><strong>TCSA details: </strong></p> <ul> <li>truncation basis: free massless boson CFT with Dirichlet boundary conditions, restricted to the ground state symmetry sector</li> <li>truncation cutoff (maximum CFT energy shell): 42 </li> <li>basis size: 85674</li> </ul> <p>The spectra correspond to the full list of eigenvalues of the truncated Hamiltonian matrices in increasing order, and the eigenvectors correspond to matrices of dimensions 5173⨉5173, corresponding to the components of the lowest 5173 energy levels in the lowest 5173 basis states (the best convergent part of the eigenvector matrix at the top left corner). Each eigenvector corresponds to a column of the above matrices, in the same order as the eigenvalues.</p> <p><strong>Format:</strong></p> <p>Python NumPy .npy files</p> <p>The filenames are of the form: <em>descriptor</em>_<em>model</em>_mL<em>x</em>.npy</p> <p>where:</p> <p><em>descriptor</em> = "Spectrum" or "Eigenvectors" </p> <p><em>model</em> = "SG" or "DSG"</p> <p><em>x</em> = 0.01, 0.1, 1, 2 or 5 (<em>mL</em> value)</p>
Exact Thermodynamics and Transport in the Classical Sine-Gordon Model
<p>Raw data and Mathematica Notebook for the thermodynamics of the classical sine-Gordon model.</p> <p>It can be found:</p> <ol> <li>A transfer matrix code for equilibrium correlation functions.</li> <li>A solver for the classical Thermodynamic Bethe Ansatz and partitioning protocol.</li> <li>Monte Carlo data of the partitioning protocol.</li> </ol> <p> </p>
Exact large-scale fluctuations of the phase field in the sine-Gordon model
<p>Raw data and Mathematica Notebooks for the thermodynamics and phase correlations in the sine-Gordon model</p> <p>It can be found:</p> <ol> <li>A transfer matrix code for equilibrium correlation functions.</li> <li>A solver for the classical Thermodynamic Bethe Ansatz and the correlation functions of the phase field.</li> <li>A solver of the Thermodynamic Bethe Ansatz of the quantum sine-Gordon at the reflectionless points, and the computation of cumulants of the phase field.</li> <li>Monte Carlo data presented in the paper: cumulants of the phase field at unequal times on homogeneous thermal background and phase correlation on the inhomogeneous background mimicking the tunnel-coupled experiments.</li> <li>Mathematica notebooks that read the data and produce the figures shown in the paper.</li> </ol>
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