2018/05/31 by Nathan Shammah, Shahnawaz Ahmed, Neill Lambert +2 · 11 citations
Computer Science · Physics and Astronomy · #Classical mechanics #Dissipation #Dissipative system #Physics #Quantum #Quantum Information and Cryptography #Quantum many-body systems #Quantum mechanics #Robustness (evolution) #Spectroscopy and Quantum Chemical Studies #Statistical physics #Theoretical physics #quant-ph
paper · pdf · doi:10.1103/physreva.98.063815
published as Phys. Rev. A 98, 063815 (2018) · 37 pages, 13 figures, the PIQS open-source library is available at https://github.com/nathanshammah/piqs/ and is integrated in QuTiP from version 4.3.1. Fixed typos in Table I and updated bibliography for published references
openalex created_date 2018/05/17 · openalex publication_date 2018/12/10 · arxiv created 2019/05/17 · arxiv updated 2019/05/20 · openalex updated_date 2026/08/05
The permutational invariance of identical two-level systems allows for an exponential reduction in the computational resources required to study the Lindblad dynamics of coupled spin-boson ensembles evolving under the effect of both local and collective noise. Here we take advantage of this speedup to study several important physical phenomena in the presence of local incoherent processes, in which each degree of freedom couples to its own reservoir. Assessing the robustness of collective effects against local dissipation is paramount to predict their presence in different physical implementations. We have developed an open-source library in python, the Permutational-Invariant Quantum Solver (PIQS), which we use to study a variety of phenomena in driven-dissipative open quantum systems. We consider both local and collective incoherent processes in the weak-, strong-, and ultrastrong-coupling regimes. Using PIQS, we reproduce a series of known physical results concerning collective quantum effects and extend their study to the local driven-dissipative scenario. Our work addresses the robustness of various collective phenomena, e.g., spin squeezing, superradiance, and quantum phase transitions, against local dissipation processes.