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Topological Protection and Control of Quantum Markovianity

1
IFISC (UIB-CSIC), Instituto de Fisica Interdisciplinar y Sistemas Complejos, E-07122 Palma de Mallorca, Spain
2
Dipartimento di Fisica e Chimica, Universitá degli Studi di Palermo, via Archirafi 36, I-90123 Palermo, Italy
3
Dipartimento di Fisica e Istituto di Fotonica e Nanotecnologie del Consiglio Nazionale delle Ricerche, Politecnico di Milano, Piazza Leonardo da Vinci 32, 2033 Milano, Italy
*
Author to whom correspondence should be addressed.
Photonics 2020, 7(1), 18; https://doi.org/10.3390/photonics7010018
Received: 25 December 2019 / Revised: 3 February 2020 / Accepted: 5 February 2020 / Published: 8 February 2020
(This article belongs to the Special Issue Topological Photonics)
Under 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.
Keywords: decoherence dynamics; topological order; Anderson localization; quantum-Hall topological insulators; non-Markovianity in open quantum systems decoherence dynamics; topological order; Anderson localization; quantum-Hall topological insulators; non-Markovianity in open quantum systems
MDPI and ACS Style

Giorgi, G.L.; Lorenzo, S.; Longhi, S. Topological Protection and Control of Quantum Markovianity. Photonics 2020, 7, 18.

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