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

Year: 2019

Authors: Vicentini F., Minganti F., Biella A., Orso G., Ciuti C.

Autors Affiliation: Univ Paris Diderot, Lab Mat & Phenomenes Quant, CNRS, UMR7162, F-75013 Paris, France.

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.

Journal/Review: PHYSICAL REVIEW A

Volume: 99 (3)      Pages from: 32115-1  to: 32115-11

More Information: We thank N. Bartolo, N. Carlon-Zambon, and I. Carusotto for stimulating discussions. We acknowledge support from ERC (via Consolidator CORPHO Grant No. 616233). This work was granted access to the HPC resources of TGCC under the allocations 2018-AP010510493 and 2018-A0050510601 attributed by GENCI (Grand Equipement National de Calcul Intensif).
KeyWords: Python Framework; Dynamics; Simulation; Insulator; States; Qutip; Julia
DOI: 10.1103/PhysRevA.99.032115

Citations: 11
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