Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/99832
Title: Intrinsic dynamical fluctuation assisted symmetry breaking in adiabatic following
Authors: Zhang, Qi
Gong, Jiangbin
Oh, C. H.
Keywords: Bifurcation
Issue Date: 2013
Source: Zhang, Q., Gong, J., & Oh, C. H. (2013). Intrinsic dynamical fluctuation assisted symmetry breaking in adiabatic following. Physical Review Letters, 110(13), 130402-.
Series/Report no.: Physical review letters
Abstract: Classical adiabatic invariants in actual adiabatic processes possess intrinsic dynamical fluctuations. The magnitude of such intrinsic fluctuations is often thought to be negligible. This widely believed physical picture is contested here. For adiabatic following of a moving stable fixed-point solution facing a pitchfork bifurcation, we show that intrinsic dynamical fluctuations in an adiabatic process can assist in a deterministic selection between two symmetry-connected fixed-point solutions, with the outcome independent of the duration of the adiabatic process. Using a classical model Hamiltonian also relevant to a two-mode quantum system, we further demonstrate the formation of an adiabatic hysteresis loop in purely Hamiltonian mechanics and the generation of a Berry phase via changing one single-valued parameter only.
URI: https://hdl.handle.net/10356/99832
http://hdl.handle.net/10220/18629
ISSN: 0031-9007
DOI: 10.1103/PhysRevLett.110.130402
Rights: © 2013 American Physical Society. This paper was published in Physical Review Letters and is made available as an electronic reprint (preprint) with permission of American Physical Society. The paper can be found at the following official DOI: [http://dx.doi.org/10.1103/PhysRevLett.110.130402]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:IAS Journal Articles

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