The claimed unique family of non-spreading ring wave packets, Eq. (11), is not a solution of the stated Schrödinger equation, and the uniqueness proof wrongly excludes zero-free rotating superpositions.
On quantum time crystals and interacting gauge theories in atomic Bose-Einstein condensates
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abstract
We study the dynamics of a Bose-Einstein condensate trapped circumferentially on a ring, and which is governed by an interacting gauge theory. We show that the associated density-dependent gauge potential and concomitant current nonlinearity permits a ground state in the form of a rotating chiral bright soliton. This chiral soliton is constrained to move in one direction by virtue of the current nonlinearity, and represents a time crystal in the same vein as Wilczek's original proposal.
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cond-mat.quant-gas 1years
2019 1verdicts
REJECT 1representative citing papers
citing papers explorer
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Non-spreading matter-wave packets in a ring
The claimed unique family of non-spreading ring wave packets, Eq. (11), is not a solution of the stated Schrödinger equation, and the uniqueness proof wrongly excludes zero-free rotating superpositions.