Quantum Dynamics of a Bose Superfluid Vortex

We derive a fully quantum-mechanical equation of motion for a vortex in a 2-dimensional Bose superfluid in the temperature regime where the normal fluid density ρ[subscript n](T) is small. The coupling between the vortex “zero mode” and the quasiparticles has no term linear in the quasiparticle vari...

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Main Authors: Thompson, Lara, Stamp, P. C. E.
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:en_US
Published: American Physical Society 2012
Online Access:http://hdl.handle.net/1721.1/71619
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author Thompson, Lara
Stamp, P. C. E.
author2 Massachusetts Institute of Technology. Department of Physics
author_facet Massachusetts Institute of Technology. Department of Physics
Thompson, Lara
Stamp, P. C. E.
author_sort Thompson, Lara
collection MIT
description We derive a fully quantum-mechanical equation of motion for a vortex in a 2-dimensional Bose superfluid in the temperature regime where the normal fluid density ρ[subscript n](T) is small. The coupling between the vortex “zero mode” and the quasiparticles has no term linear in the quasiparticle variables—the lowest-order coupling is quadratic. We find that as a function of the dimensionless frequency [omega]~=[Latin small letter h with a stroke][omega]/k[subscript B]T, the standard Hall-Vinen-lordanskii equations are valid when [omega]~<<1 (the 'classical regime"0, but elsewhere, the equations of motion become highly retarded, with significant experimental implications when [omega]~[greater than or equivalent to]1.
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spelling mit-1721.1/716192022-09-29T08:31:00Z Quantum Dynamics of a Bose Superfluid Vortex Thompson, Lara Stamp, P. C. E. Massachusetts Institute of Technology. Department of Physics Thompson, Lara Thompson, Lara We derive a fully quantum-mechanical equation of motion for a vortex in a 2-dimensional Bose superfluid in the temperature regime where the normal fluid density ρ[subscript n](T) is small. The coupling between the vortex “zero mode” and the quasiparticles has no term linear in the quasiparticle variables—the lowest-order coupling is quadratic. We find that as a function of the dimensionless frequency [omega]~=[Latin small letter h with a stroke][omega]/k[subscript B]T, the standard Hall-Vinen-lordanskii equations are valid when [omega]~<<1 (the 'classical regime"0, but elsewhere, the equations of motion become highly retarded, with significant experimental implications when [omega]~[greater than or equivalent to]1. 2012-07-13T15:51:06Z 2012-07-13T15:51:06Z 2012-05 2011-10 Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/71619 Thompson, L., and P. Stamp. “Quantum Dynamics of a Bose Superfluid Vortex.” Physical Review Letters 108.18 (2012). © 2012 American Physical Society en_US http://dx.doi.org/10.1103/PhysRevLett.108.184501 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS
spellingShingle Thompson, Lara
Stamp, P. C. E.
Quantum Dynamics of a Bose Superfluid Vortex
title Quantum Dynamics of a Bose Superfluid Vortex
title_full Quantum Dynamics of a Bose Superfluid Vortex
title_fullStr Quantum Dynamics of a Bose Superfluid Vortex
title_full_unstemmed Quantum Dynamics of a Bose Superfluid Vortex
title_short Quantum Dynamics of a Bose Superfluid Vortex
title_sort quantum dynamics of a bose superfluid vortex
url http://hdl.handle.net/1721.1/71619
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