期刊
PHYSICAL REVIEW B
卷 94, 期 10, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.94.104521
关键词
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资金
- Koshland fellowship at the Weizmann Institute of Sciences
- European Research Council through Synergy Grant UQUAM
- ISF [1594-11]
- NSERC of Canada
- Canadian Institute for Advanced Research
- Center for Quantum Materials at the University of Toronto
- German Research Foundation (DFG) through the Institutional Strategy of the University of Cologne within the German Excellence Initiative [ZUK 81]
- European Research Council [647434]
A comprehensive theory of the Kosterlitz-Thouless transition in two-dimensional superfluids in thermal equilibrium can be developed within a dual representation which maps vortices in the superfluid to charges in a Coulomb gas. In this framework, the dissociation of vortex-antivortex pairs at the critical temperature corresponds to the formation of a plasma of free charges. The physics of vortex unbinding in driven-dissipative systems such as fluids of light, on the other hand, is much less understood. Here, we make a crucial step to fill this gap by deriving a transformation that maps the compact Kardar-Parisi-Zhang (KPZ) equation, which describes the dynamics of the phase of a driven-dissipative condensate, to a dual electrodynamic theory. The latter is formulated in terms of modified Maxwell equations for the electromagnetic fields and a diffusion equation for the charges representing vortices in the KPZ equation. This mapping utilizes an adaption of the Villain approximation to a generalized Martin-Siggia-Rose functional integral representation of the compact KPZ equation on a lattice.
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