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Open quantum systems with local and collective incoherent processes: Efficient numerical simulations using permutational invariance

Open quantum systems with local and collective incoherent processes: Efficient numerical simulations using permutational invariance
Open quantum systems with local and collective incoherent processes: Efficient numerical simulations using permutational invariance
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.
1050-2947
1-34
De Liberato, Simone
5942e45f-3115-4027-8653-a82667ed8473
De Liberato, Simone
5942e45f-3115-4027-8653-a82667ed8473

De Liberato, Simone (2018) Open quantum systems with local and collective incoherent processes: Efficient numerical simulations using permutational invariance. Physical Review A, 98, 1-34. (doi:10.1103/PhysRevA.98.063815).

Record type: Article

Abstract

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.

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PhysRevA.98.063815 - Version of Record
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Accepted/In Press date: 2018
e-pub ahead of print date: 10 December 2018

Identifiers

Local EPrints ID: 427248
URI: https://eprints.soton.ac.uk/id/eprint/427248
ISSN: 1050-2947
PURE UUID: 75697a9f-71bf-4893-a338-c4232711142e
ORCID for Simone De Liberato: ORCID iD orcid.org/0000-0002-4851-2633

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Date deposited: 09 Jan 2019 17:31
Last modified: 15 Aug 2019 00:35

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