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Optimal stochastic unraveling of disordered open quantum systems: Application to driven-dissipative photonic lattices

2018/12/31 by Filippo Vicentini, Fabrizio Minganti, Alberto Biella +2
Physics and Astronomy · #Bose–Hubbard model #Boson #Cold Atom Physics and Bose-Einstein Condensates #Dissipative system #Ising model #Lattice (music) #Observable #Phase (matter) #Phase diagram #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Square lattice #Statistical physics #Strong Light-Matter Interactions #cond-mat.dis-nn #quant-ph

paper · pdf · doi:10.1103/physreva.99.032115

published as Phys. Rev. A 99, 032115 (2019) · 12 pages, 7 figures, 99 references, version accepted on PRA

openalex created_date 2018/12/22 · arxiv created 2019/02/17 · openalex publication_date 2019/03/14 · arxiv updated 2019/03/27 · openalex updated_date 2026/08/05

Abstract

We propose an efficient numerical method to compute configuration averages of observables in disordered open quantum systems whose dynamics can be unraveled via stochastic trajectories. We prove that the optimal sampling of trajectories and disorder configurations is simply achieved by considering one random disorder configuration for each individual trajectory. As a first application, we exploit the present method to study the role of disorder on the physics of the driven-dissipative Bose-Hubbard model in two different regimes: (i) for strong interactions, we explore the dissipative physics of fermionized bosons in disordered one-dimensional chains; (ii) for weak interactions, we investigate the role of on-site inhomogeneities on a first-order dissipative phase transition in a two-dimensional square lattice.

Citations