60 citations · 63 across the 5 of their papers we have counts for
5 papers
Luttinger liquid parameters in one-dimensional Rydberg arrays
Shu-Ao Liao, Li-Ping Yang, Jin Zhang
We investigate Berezinskii-Kosterlitz-Thouless (BKT) transitions in one-dimensional Rydberg chains, where commensurate critical regimes associated with the melting of crystalline o…
Phase diagram of Rydberg atoms in a two-leg rectangular ladder
Shu-Ao Liao, Jin Zhang, Li-Ping Yang
Using the density matrix renormalization group algorithm, we map the ground-state phase diagram of a two-leg Rydberg ladder array with lattice spacings . We identify vari…
Analysis of tensor methods for stochastic models of gene regulatory networks
Shuohao Liao
The tensor-structured parametric analysis (TPA) has been recently developed for simulating and analysing stochastic behaviours of gene regulatory networks [Liao et. al., 2015]. The…
Noise-induced multistability in chemical systems: Discrete vs Continuum modeling
Andrew Duncan, Shuohao Liao, Tomas Vejchodsky +2
The noisy dynamics of chemical systems is commonly studied using either the chemical master equation (CME) or the chemical Fokker-Planck equation (CFPE). The latter is a continuum…
Parameter estimation and bifurcation analysis of stochastic models of gene regulatory networks: tensor-structured methods
Shuohao Liao, Tomas Vejchodsky, Radek Erban
Stochastic modelling provides an indispensable tool for understanding how random events at the molecular level influence cellular functions. In practice, the common challenge is to…