2023/02/17 by Amit Chatterjee, Chatterjee, Amit Kumar, Adhip Agarwala +1
Computer Science · Physics and Astronomy · #60G10 #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech) #Strongly Correlated Electrons (cond-mat.str-el)
paper · pdf · doi:10.48550/arxiv.2302.08849
openalex publication_date 2023/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 ρ=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 ρ^*=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.