Minimum uncertainty states and squeezed states from sum uncertainty relation

• URL: http://arxiv.org/abs/2407.16530v1
• Date: Tue, 23 Jul 2024 14:43:42 GMT
• Title: Minimum uncertainty states and squeezed states from sum uncertainty relation
• Authors: Yatindra Kumar, Yashraj Jha, Namrata Shukla,
• Abstract summary: Heisenberg uncertainty relation is at the origin of understanding minimum uncertainty states and squeezed states of light. We deduce a different sum uncertainty relation that is weaker than the previous but necessary and sufficient to define MUS for sum uncertainty relations. This means that the definition of squeezed states remains completely unaffected by the stronger sum uncertainty relation.
• Score: 0.6827423171182154
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Heisenberg uncertainty relation is at the origin of understanding minimum uncertainty states and squeezed states of light. In the recent past, sum uncertainty relation was formulated by Maccone and Pati [Phys. Rev. Lett. 113, 260401 (2014)] which is claimed to be stronger than the existing Heisenberg-Robertson product uncertainty relation for the set of two incompatible observables. We deduce a different sum uncertainty relation that is weaker than the previous but necessary and sufficient to define MUS for sum uncertainty relations. We claim that the MUS for the sum uncertainty relation is always the MUS for the traditional product uncertainty relation. This means that the definition of squeezed states remains completely unaffected by the stronger sum uncertainty relation.

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