Entanglement and U(D)-spin squeezing in symmetric multi-quDit systems and applications to quantum phase transitions in Lipkin-Meshkov-Glick D-level atom models
| Autor: | Manuel Calixto, Julio Becerra Guerrero, Alberto Mayorgas |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Quantum phase transition
81P40 81V73 81R30 FOS: Physical sciences Quantum phases Quantum entanglement Quantum phase transitions Theoretical Computer Science symbols.namesake Quantum mechanics Coherent states Electrical and Electronic Engineering Mathematical Physics Spin-½ Quantum computer Physics Quantum Physics Pairwise entanglement Computer Science::Information Retrieval Statistical and Nonlinear Physics Parity (physics) Mathematical Physics (math-ph) Electronic Optical and Magnetic Materials Many-body systems Spin squeezing Parity Modeling and Simulation Signal Processing Symmetric quDits symbols Quantum Physics (quant-ph) Schrödinger's cat |
| Zdroj: | Digibug. Repositorio Institucional de la Universidad de Granada instname |
| DOI: | 10.48550/arxiv.2104.10581 |
| Popis: | We thank the support of the Spanish MICINN through the Project PGC2018-097831-B-I00 and Junta de Andalucia through the Projects SOMM17/6105/UGR, UHU-1262561 and FQM-381. JG also thanks MICINN for financial support from FIS2017-84440-C2-2-P. AM thanks the Spanish MIU for the FPU19/06376 predoctoral fellowship. We all thank Octavio Castanos for his valuable collaboration in the early stages of this work. Collective spin operators for symmetric multi-quDit (namely identical D-level atom) systems generate a U(D) symmetry. We explore generalizations to arbitrary D of SU(2)-spin coherent states and their adaptation to parity (multi-component Schrödinger cats), together with multi-mode extensions of NOON states. We write level, one- and two-quDit reduced density matrices of symmetric N-quDit states, expressed in the last two cases in terms of collective U(D)-spin operator expectation values. Then, we evaluate level and particle entanglement for symmetric multi-quDit states with linear and von Neumann entropies of the corresponding reduced density matrices. In particular, we analyze the numerical and variational ground state of Lipkin–Meshkov–Glick models of 3-level identical atoms. We also propose an extension of the concept of SU(2)-spin squeezing to SU(D) and relate it to pairwise D-level atom entanglement. Squeezing parameters and entanglement entropies are good markers that characterize the different quantum phases, and their corresponding critical points, that take place in these interacting D-level atom models. Spanish Government PGC2018-097831-B-I00 Junta de Andalucia SOMM17/6105/UGR UHU-1262561 FQM-381 Spanish Government European Commission FIS2017-84440-C2-2-P Spanish MIU FPU19/06376 |
| Databáze: | OpenAIRE |
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