The Composite Particle Duality: A New Class of Topological Quantum Matter
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866909367025008640 |
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| author | Valentí-Rojas, Gerard Priestley, Joel Öhberg, Patrik |
| author_facet | Valentí-Rojas, Gerard Priestley, Joel Öhberg, Patrik |
| contents | The composite particle duality extends the notions of both flux attachment and statistical transmutation in spacetime dimensions beyond 2+1D. 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. In 3+1D the mechanism of flux attachment induces a dynamical formation of dyons as higher-dimensional analogues of Laughlin quasiparticles. In 1+1D there is lack of flux attachment but a remnant in the form of a statistical gauge field can be explicitly constructed. We also introduce a family of interacting quantum many-body systems that undergo statistical transmutation as indicated by the duality. This opens the door to a new realm of topological phases across dimensions both in lattice and continuum systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_00825 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Composite Particle Duality: A New Class of Topological Quantum Matter Valentí-Rojas, Gerard Priestley, Joel Öhberg, Patrik Strongly Correlated Electrons Mesoscale and Nanoscale Physics Quantum Gases High Energy Physics - Theory Quantum Physics The composite particle duality extends the notions of both flux attachment and statistical transmutation in spacetime dimensions beyond 2+1D. 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. In 3+1D the mechanism of flux attachment induces a dynamical formation of dyons as higher-dimensional analogues of Laughlin quasiparticles. In 1+1D there is lack of flux attachment but a remnant in the form of a statistical gauge field can be explicitly constructed. We also introduce a family of interacting quantum many-body systems that undergo statistical transmutation as indicated by the duality. This opens the door to a new realm of topological phases across dimensions both in lattice and continuum systems. |
| title | The Composite Particle Duality: A New Class of Topological Quantum Matter |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics Quantum Gases High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2306.00825 |