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Topological Protection and Control of Quantum Markovianity

AuthorsGiorgi, Gian Luca ; Lorenzo, Salvatore; Longhi, Stefano
KeywordsDecoherence dynamics
Topological order
Anderson localization
Quantum-Hall topological insulators
Non-Markovianity in open quantum systems
Issue Date8-Feb-2020
PublisherMultidisciplinary Digital Publishing Institute
CitationPhotonics 7(1): 18 (2020)
AbstractUnder the Born–Markov approximation, a qubit system, such as a two-level atom, is known to undergo a memoryless decay of quantum coherence or excitation when weakly coupled to a featureless environment. Recently, it has been shown that unavoidable disorder in the environment is responsible for non-Markovian effects and information backflow from the environment into the system owing to Anderson localization. This turns disorder into a resource for enhancing non-Markovianity in the system–environment dynamics, which could be of relevance in cavity quantum electrodynamics. Here we consider the decoherence dynamics of a qubit weakly coupled to a two-dimensional bath with a nontrivial topological phase, such as a two-level atom embedded in a two-dimensional coupled-cavity array with a synthetic gauge field realizing a quantum-Hall bath, and show that Markovianity is protected against moderate disorder owing to the robustness of chiral edge modes in the quantum-Hall bath. Interestingly, switching off the gauge field, i.e., flipping the bath into a topological trivial phase, allows one to re-introduce non-Markovian effects. Such a result indicates that changing the topological phase of a bath by a tunable synthetic gauge field can be harnessed to control non-Markovian effects and quantum information backflow in a qubit-environment system.
DescriptionThis article belongs to the Special Issue Topological Photonics.
Publisher version (URL)https://doi.org/10.3390/photonics7010018
Appears in Collections:(IFISC) Artículos
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