Gaussian Decoherence from Random Spin Environments

2003/12/31 by Fernando Cucchietti, F. M. Cucchietti, Juan Pablo Paz +3 · 4 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1103/physreva.72.052113

published as Phys. Rev. A 72, 052113 (2005) · Many changes in the manuscript to improve readability, some typos corrected

arxiv created 2004/02/10 · openalex publication_date 2005/11/29 · arxiv updated 2013/05/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We examine an exactly solvable model of decoherence - a spin-system interacting with a collection of environment spins. We show that in this model (introduced some time ago to illustrate environment-induced superselection) generic assumptions about the coupling strengths lead to a universal (Gaussian) suppression of coherence between pointer states. We explore the regimes of validity of these results and discuss their relation to the spectral features of the environment and to the Loschmidt echo (or fidelity). Finally, we comment on the observation of such time dependence in spin echo experiments.

Citations

• Self-induced decoherence approach: Strong limitations on its validity in a simple spin bath model and on its general physical relevance
• Quantum limit of decoherence: Environment induced superselection of energy eigenstates
• Environment-induced superselection rules
• Golden rule decay versus Lyapunov decay of the quantum Loschmidt echo
• Decoherence, einselection, and the quantum origins of the classical

Cited by

• Decoherence by engineered quantum baths
• Evolution of a quantum spin system to its ground state: Role of entanglement and interaction symmetry
• Dynamics of entanglement of two electron spins interacting with nuclear spin baths in quantum dots
• Entanglement-induced decoherence and energy eigenstates