We design an enhanced event-chain Monte Carlo algorithm to study 1D quantum dissipative systems, using their bosonized representation. Expressing the bosonized Hamiltonian as a path integral over a scalar field enables the application of Monte Carlo algorithms developed for classical systems. Specifically, we focus on a dissipative XXZ spin chain, exhibiting critical slowing down, minima degeneracy, and long-range interactions. Addressing all three bottlenecks, we design an algorithm that combines local persistent event-chain Monte Carlo moves with global cluster moves, in an $O\left(1\right)$-complexity implementation. Through systematic performance analysis, we show that such an algorithm outperforms traditional Metropolis algorithms by more than a magnitude factor and is competitive with current state-of-the-art quantum Monte Carlo algorithms. We then use this approach to determine the dissipative spin chain's phase diagram, thereby reinforcing prior analytical predictions.

Close

PrevNext

View figure in article

• BKT transition
• Bosonization
• Monte Carlo methods
• Spin chains