Chirally factorised truncated conformal space approach

Truncated Conformal Space Approach (TCSA) is a highly efficient method to compute spectra, operator matrix elements and time evolution in quantum field theories defined as relevant perturbations of 1+1-dimensional conformal theories. However, similarly other exact diagonalisation methods, TCSA ridden with the “curse dimensionality”: dimension Hilbert space increases exponentially (square root the) truncation level, limiting its precision by available memory resources. Here we describe an algorithm which exploits chiral factorisation property theory periodic boundary conditions achieve substantial improvement level. The Chirally Factorised (CFTCSA) presented here works inputs describing necessary CFT data specified format. It makes possible much more precise calculations given computing resources extends reach problems requiring large dimensions. In fact, it has already been used number recent ranging from determination form factors, through studying confinement topological excitations non-equilibrium dynamics. Besides description algorithm, MATLAB implementation also provided ancillary file package, supplemented example codes evolution, for three different We give detailed how-to guide constructing required Virasoro minimal models central charge c<1, massless free boson c=1.