The gauge coupled two-body problem in a ring
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Priestley_2023_J._Phys._A__Mat ...
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Wyant College of Optical Sciences, University of ArizonaIssue Date
2023-01-23Metadata
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Institute of PhysicsCitation
Joel Priestley et al 2023 J. Phys. A: Math. Theor. 56 015305Rights
© 2023 The Author(s). Published by IOP Publishing Ltd. Original Content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence.Collection Information
This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.Abstract
We study the properties of two quantum particles which are confined in a ring. The particles interact via a long-range gauge potential proportional to the distance between the particles. It is found that the two-body ground state corresponds to a state with non-zero angular momentum provided that the interaction between the particles is strong enough. In addition, the particles are correlated in the sense that depending on the interaction strength there is a propensity to be found close together or separated in the ring. We discuss the effect of measuring the position of one of the particles and thereby removing the particle from the ring, where we show that the remaining particle can be prepared in a non-dispersive state with non-zero angular momentum. © 2023 The Author(s). Published by IOP Publishing Ltd.Note
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1751-8113Version
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Except where otherwise noted, this item's license is described as © 2023 The Author(s). Published by IOP Publishing Ltd. Original Content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence.