Quantum Zeno effect for open quantum systems

• URL: http://arxiv.org/abs/2010.04121v1
• Date: Thu, 8 Oct 2020 17:00:05 GMT
• Title: Quantum Zeno effect for open quantum systems
• Authors: Simon Becker, Nilanjana Datta, Robert Salzmann
• Abstract summary: We prove the quantum Zeno effect in open quantum systems governed by quantum dynamical semigroups. We also prove the existence of a novel strong quantum Zeno limit for quantum operations.
• Score: 6.553031877558699
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We prove the quantum Zeno effect in open quantum systems whose evolution, governed by quantum dynamical semigroups, is repeatedly and frequently interrupted by the action of a quantum operation. For the case of a quantum dynamical semigroup with a bounded generator, our analysis leads to a refinement of existing results and extends them to a larger class of quantum operations. We also prove the existence of a novel strong quantum Zeno limit for quantum operations for which a certain spectral gap assumption, which all previous results relied on, is lifted. The quantum operations are instead required to satisfy a weaker property of strong power-convergence. In addition, we establish, for the first time, the existence of a quantum Zeno limit for the case of unbounded generators. We also provide a variety of physically interesting examples of quantum operations to which our results apply.

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