Q-deformed rainbows: a universal simulator of free entanglement spectra
The behavior of correlations across a bipartition is an indispensable tool in diagnosing quantum phases of matter. Here we present a spin chain with position-dependent XX couplings and magnetic fields, that can reproduce arbitrary structure of free fermion correlations across a bipartition. In parti...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Consejo Superior de Investigaciones Científicas (CSIC) |
| Repositorio: | DIGITAL.CSIC. Repositorio Institucional del CSIC |
| OAI Identifier: | oai:digital.csic.es:10261/381878 |
| Acceso en línea: | http://hdl.handle.net/10261/381878 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85183944002&doi=10.1088%2f1367-2630%2fad19f7&partnerID=40&md5=475a2fea292de512538f8eb5fe9f3c3c |
| Access Level: | acceso abierto |
| Palabra clave: | 1-dimensional spin chain Entanglement manipulation Entanglement spectrum Renormalization Group Quantum control Quantum entanglement Quantum correlations |
| Sumario: | The behavior of correlations across a bipartition is an indispensable tool in diagnosing quantum phases of matter. Here we present a spin chain with position-dependent XX couplings and magnetic fields, that can reproduce arbitrary structure of free fermion correlations across a bipartition. In particular, by choosing appropriately the strength of the magnetic fields we can obtain any single particle energies of the entanglement spectrum with high fidelity. The resulting ground state can be elegantly formulated in terms of q-deformed singlets. To demonstrate the versatility of our method we consider certain examples, such as a system with homogeneous correlations and a system with correlations that follow a prime number decomposition. Hence, our entanglement simulator can be easily employed for the generation of arbitrary entanglement spectra with possible applications in quantum technologies and condensed matter physics. © 2024 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft |
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