TL;DR
Quantum blobs are minimal phase space units linked to squeezed coherent states, offering a new geometric representation of quantum states consistent with the uncertainty principle.
Contribution
The paper introduces quantum blobs as a novel phase space concept, connecting them with squeezed coherent states and proposing a new geometric framework for quantum states.
Findings
Quantum blobs correspond bijectively to squeezed coherent states.
They provide a geometric representation of quantum states.
A relationship between quantum blobs and Fermi level sets is established.
Abstract
Quantum blobs are the smallest phase space units of phase space compatible with the uncertainty principle of quantum mechanics and having the symplectic group as group of symmetries. Quantum blobs are in a bijective correspondence with the squeezed coherent states from standard quantum mechanics, of which they are a phase space picture. This allows us to propose a substitute for phase space in quantum mechanics. We study the relationship between quantum blobs with a certain class of level sets defined by Fermi for the purpose of representing geometrically quantum states.
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