Universal decoherence induced by an environmental quantum phase transition

Abstract

Decoherence induced by coupling a system with an environment may display universal features. Here we demostrate that when the coupling to the system drives a quantum phase transition in the environment, the temporal decay of quantum coherences in the system is Gaussian with a width independent of the system-environment coupling strength. The existence of this effect opens the way for a new type of quantum simulation algorithm, where a single qubit is used to detect a quantum phase transition. We discuss possible implementations of such algorithm and we relate our results to available data on universal decoherence in NMR echo experiments.

References in corpus (13)

• Decoherence, einselection, and the quantum origins of the classical
• Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
• Decay of Loschmidt Echo Enhanced by Quantum Criticality
• Dynamics of Loschmidt echoes and fidelity decay
• Environment-independent decoherence rate in classically chaotic systems
• Decoherence, Chaos, and the Second Law
• Decoherence from spin environments
• Gaussian Decoherence from Random Spin Environments
• Decoherence induced by interacting quantum spin baths
• Stability of quantum motion and correlation decay
• Hidden Breit-Wigner distribution and other properties of random matrices with preferential basis
• Excited Eigenstates and Strength Functions for Isolated Systems of Interacting Particles
• Unification of perturbation theory, RMT and semiclassical considerations in the study of parametrically-dependent eigenstates

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