A random matrix theory of decoherence

Abstract

Random matrix theory is used to represent generic loss of coherence of a fixed central system coupled to a quantum-chaotic environment, represented by a random matrix ensemble, via random interactions. We study the average density matrix arising from the ensemble induced, in contrast to previous studies where the average values of purity, concurrence, and entropy were considered; we further discuss when one or the other approach is relevant. The two approaches agree in the limit of large environments. Analytic results for the average density matrix and its purity are presented in linear response approximation. The two-qubit system is analysed, mainly numerically, in more detail.

20 pages, 2 figures

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• Experimental Observation of Quantum Chaos in a Beam of Light
• Spectral transitions and universal steady states in random Kraus maps and circuits
• Effective dynamics of disordered quantum systems
• Generic appearance of objective results in quantum measurements
• Objectivity (or lack there of): a comparison between predictions of quantum Darwinism and spectrum broadcast structure
• Single qubit decoherence under a separable coupling to a random matrix environment
• Quantum kicked harmonic oscillator in contact with a heat bath
• Decoherence, entanglement decay, and equilibration produced by chaotic environments
• Improving coherence with nested environments
• A generalized fidelity amplitude for open systems
• Random density matrices versus random evolution of open systems
• Exploring quantum ergodicity of unitary evolution through the Krylov approach
• The transition from non-Markovian to Markovian dynamics for generic environments
• Minimal dissipation model for bipartite quantum systems at finite temperature
• Partial thermalisation of a two-state system coupled to a finite quantum bath