The Composite Particle Duality: A New Class of Topological Quantum
Matter
- URL: http://arxiv.org/abs/2306.00825v2
- Date: Tue, 18 Jul 2023 10:01:43 GMT
- Title: The Composite Particle Duality: A New Class of Topological Quantum
Matter
- Authors: Gerard Valent\'i-Rojas, Joel Priestley and Patrik \"Ohberg
- Abstract summary: Composite particle duality extends the notions of flux attachment and statistical transmutation in spacetime dimensions beyond 2+1$textD$.
The immediate implication of the duality is that an interacting quantum system in arbitrary dimensions can experience a modification of its statistical properties if coupled to a certain gauge field.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The composite particle duality extends the notions of both flux attachment
and statistical transmutation in spacetime dimensions beyond 2+1$\text{D}$. It
constitutes an exact correspondence that can be understood either as a
theoretical framework or as a dynamical physical mechanism. The immediate
implication of the duality is that an interacting quantum system in arbitrary
dimensions can experience a modification of its statistical properties if
coupled to a certain gauge field. In other words, commutation relations of
quantum fields can be effectively modified by a dynamical physical process. For
instance, an originally bosonic quantum fluid in d spatial dimensions can
feature composite fermionic (or anyonic) excitations when coupled to a
statistical gauge field. We compute the explicit form of the aforementioned
synthetic gauge fields in $\text{D} \le 3 + 1$. This opens the door to a new
realm of topological phases across dimensions both in lattice and continuum
systems.
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