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Superfluid universe
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I am reading "Introduction to superfluidity" by Andreas Schmitt. He mentions the global symmetry U(1). What other symmetries are there in superfluids?
Thank you.
Thank you.
It depends on what kind of superfluid you have in mind, but for typical ones which I assume you have in mind (described by the Gross-Pitaevskii equation) you also have space-time symmetry transformations, instead of the field transformations you have already mentioned (U1 gauge symmetry). For instance Galilean symmetry, which includes translations, rotations and boosts to reference frames moving with uniform velocity.Superfluid universe said:What other symmetries are there in superfluids?
Symmetries in superfluids refer to the ways in which the physical properties of a superfluid remain unchanged under certain transformations or operations.
Symmetries play a crucial role in determining the behavior of superfluids, as they dictate the conservation laws and govern the formation of topological defects.
Some examples of symmetries in superfluids include rotational symmetry, translational symmetry, and gauge symmetry.
Symmetries in superfluids are studied through various experimental techniques, such as measuring the rotational inertia or flow patterns of the superfluid, as well as theoretical models and simulations.
Understanding symmetries in superfluids can lead to advancements in technologies such as superconductors, precision sensors, and quantum computing. It can also provide insights into fundamental concepts in physics, such as phase transitions and quantum mechanics.