Classical and quantum facilitated exclusion processes
- URL: http://arxiv.org/abs/2302.08849v1
- Date: Fri, 17 Feb 2023 12:43:55 GMT
- Title: Classical and quantum facilitated exclusion processes
- Authors: Amit Kumar Chatterjee, Adhip Agarwala
- Abstract summary: We show that the quantum analogue of the classical facilitated process engineers an interesting $quantum$ $absorbing$ $transition$ where the quantum particles transit from an unentangled direct-product absorbing phase to an entangled steady state with a finite current at density $rho=1/2$.
Our work ties the two sub-fields of classically interacting exclusion processes, and interacting non-Hermitian quantum Hamiltonians to show common themes in the non-equilibrium phases they realise.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We demonstrate exciting similarities between classical and quantum many body
systems whose microscopic dynamics are composed of non-reciprocal three-site
facilitated exclusion processes. We show that the quantum analogue of the
classical facilitated process engineers an interesting $quantum$ $absorbing$
$transition$ where the quantum particles transit from an unentangled
direct-product absorbing phase to an entangled steady state with a finite
current at density $\rho=1/2$. In the generalised classical facilitated
exclusion process, which includes independent hopping of particles with rate
$p$, our analytical and Monte-Carlo results establish emergence of a special
density $\rho^*=\frac{1}{3}$ that demarcates two regimes in the steady state,
based on the competition between two current carrying modes (facilitated and
independent). The corresponding quantum system also displays similar
qualitative behaviours with striking non-monotonic features in the bipartite
entanglement. Our work ties the two sub-fields of classically interacting
exclusion processes, and interacting non-Hermitian quantum Hamiltonians to show
common themes in the non-equilibrium phases they realise.
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