On the universality of minimum uncertainty states as approximate classical states

• URL: http://arxiv.org/abs/2212.09790v1
• Date: Mon, 19 Dec 2022 19:02:28 GMT
• Title: On the universality of minimum uncertainty states as approximate classical states
• Authors: Uttam Singh and Adam Sawicki and Jaros{\l}aw K. Korbicz
• Abstract summary: Coherent states have been regarded as the closest to the classical. Decoherence theory defines, in idealistic scenarios, its own preferred, robust states. We show that these two notions are in general different.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Explaining the perceived classicality of the macroscopic world from quantum principles has been one of the promising approaches to the quantum-to-classical transition. Coherent states have been regarded as the closest to the classical, representing the best compromise allowed by the Heisenberg uncertainty relations. On the other hand, decoherence theory recognizes the crucial role of the environment in the quantum-to-classical transition and defines, in idealistic scenarios, its own preferred, robust states, so called pointer states. Analyzing realistic open dynamics, where both interaction and free terms contribute, we show that these two notions are in general different. Connecting group theory and open dynamics, we derive general equations describing states most robust to thermal decoherence and study spin systems as an example. Although we concentrate on compact groups here, our method is more general and opens a new set of problems in open dynamics--finding physical pointer states.

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