Name
Title | ||
|---|---|---|
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 |
Abstract | ||
|---|---|---|
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 Schrodinger 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. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1007/s11128-021-03218-6 | QUANTUM INFORMATION PROCESSING |
Keywords | DocType | Volume |
Quantum phase transitions, Many-body systems, Symmetric quDits, Coherent states, Parity, Pairwise entanglement, Spin squeezing | Journal | 20 |
Issue | ISSN | Citations |
9 | 1570-0755 | 1 |
PageRank | References | Authors |
0.43 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Manuel Calixto | 1 | 1 | 0.77 |
| Alberto Mayorgas | 2 | 1 | 0.77 |
| Julio Guerrero | 3 | 1 | 0.77 |