Ground-state separability and criticality in interacting many-particle systems
We analyze exact ground state (GS) separability in general N-particle systems with two-site couplings. General necessary and sufficient conditions for full separability in the form of one- and two-site eigenvalue equations are first derived. The formalism is then applied to a class of SU(n)-type int...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/209505 |
| Acceso en línea: | http://hdl.handle.net/11336/209505 |
| Access Level: | acceso abierto |
| Palabra clave: | Quantum Criticality Quantum Entanglement Quantum Phase Transitions Quantum Spin Models https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| Sumario: | We analyze exact ground state (GS) separability in general N-particle systems with two-site couplings. General necessary and sufficient conditions for full separability in the form of one- and two-site eigenvalue equations are first derived. The formalism is then applied to a class of SU(n)-type interacting systems where each constituent has access to n-local levels, and where the total number parity of each level is preserved. Explicit factorization conditions for parity-breaking GSs are obtained, which generalize those for XYZ spin systems and correspond to a fundamental GS multilevel parity transition where the lowest 2n-1 energy levels cross. We also identify a multicritical factorization point with exceptional high degeneracy proportional to Nn-1, arising when the total occupation number of each level is preserved, in which any uniform product state is an exact GS. Critical entanglement properties (such as full range pairwise entanglement) are shown to emerge in the immediate vicinity of factorization. Illustrative examples are provided. |
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