Unstable particles as open quantum systems
arXiv:quant-ph/0506183 · doi:10.1103/PhysRevA.72.032106
Abstract
We present the probability preserving description of the decaying particle within the framework of quantum mechanics of open systems taking into account the superselection rule prohibiting the superposition of the particle and vacuum. In our approach the evolution of the system is given by a family of completely positive trace preserving maps forming one-parameter dynamical semigroup. We give the Kraus representation for the general evolution of such systems which allows one to write the evolution for systems with two or more particles. Moreover, we show that the decay of the particle can be regarded as a Markov process by finding explicitly the master equation in the Lindblad form. We also show that there are remarkable restrictions on the possible strength of decoherence.
11 pp, 2 figs (published version)
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Cited by in corpus (20)
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- Study of coherence and mixedness in meson and neutrino systems
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- An open quantum system approach to EPR correlations in K0-K0 system
- Probing inequivalent forms of Legget-Garg inequality in subatomic systems
- Consistent Probabilistic Description of the Neutral Kaon System
- Non-Markovian Dynamics in Ultracold Rydberg Aggregates
- Quantum-Ordering Ambiguities in Weak Chern-Simons 4D Gravity and Metastability of the Condensate-Induced Inflation
- Neutral kaons as an open quantum system in a second quantization approach
- An open quantum system approach to complementarity in neutral kaon interferometry
- Many unstable particles from an open quantum systems perspective
- Formulae for partial widths derived from the Lindblad equation
- Tests of macrorealism in meson oscillation physics
- Probing quantum decoherence at Belle II and LHCb
- Quantum speed of evolution of neutral mesons
- Excitation-damping quantum channels
- ABC-formula and R-operation for decay processes
- Imprints of LGI violation in Mesons