TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.8.4.063
TI  - Lifted TASEP: Long-time dynamics, generalizations, and continuum limit
PY  - 2025/10/02
UR  - https://www.scipost.org/SciPostPhysCore.8.4.063
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 8
IS  - 4
SP  - 063
A1  - Essler, Fabian
AU  - Gipouloux, Jeanne
AU  - Krauth, Werner
AB  - We investigate the lifted TASEP and its generalization, the GL-TASEP. We analyze the spectral properties of the transition matrix of the lifted TASEP using its Bethe ansatz solution, and use them to determine the scaling of the relaxation time (the inverse spectral gap) with particle number. The observed scaling with particle number was previously found to disagree with Monte Carlo simulations of the equilibrium autocorrelation times of the structure factor and of other large-scale density correlators for a particular value of the pullback $\alpha_{\rm crit}$. We explain this discrepancy. We then construct the continuum limit of the lifted TASEP, which remains integrable, and connect it to the event-chain Monte Carlo algorithm. The critical pullback $\alpha_{\rm crit}$ then equals the system pressure. We generalize the lifted TASEP to a large class of nearest-neighbour interactions, which lead to stationary states characterized by non-trivial Boltzmann distributions. By tuning the pullback parameter in the GL-TASEP to a particular value we can again achieve a polynomial speedup in the time required to converge to the steady state. We comment on the possible integrability of the GL-TASEP.
ER  -

@Article{10.21468/SciPostPhysCore.8.4.063,
	title={{Lifted TASEP: Long-time dynamics, generalizations, and continuum limit}},
	author={Fabian H. L. Essler and Jeanne Gipouloux and Werner Krauth},
	journal={SciPost Phys. Core},
	volume={8},
	pages={063},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.8.4.063},
	url={https://scipost.org/10.21468/SciPostPhysCore.8.4.063},
}