Topological Protection and Control of Quantum Markovianity

• URL: http://arxiv.org/abs/2002.04234v1
• Date: Tue, 11 Feb 2020 07:19:06 GMT
• Title: Topological Protection and Control of Quantum Markovianity
• Authors: Gian Luca Giorgi, Salvatore Lorenzo, Stefano Longhi
• Abstract summary: We consider the decoherence dynamics of a qubit weakly coupled to a two-dimensional bath with a nontrivial topological phase. We show that Markovianity is protected against moderate disorder owing to the robustness of chiral edge modes in the quantum-Hall bath.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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