Journal
PHYSICAL REVIEW B
Volume 104, Issue 21, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.104.214309
Keywords
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Funding
- PRIN Project - Italian Ministry of education and research [20177SL7HC]
- CNPq [311079/2015-6]
- Serrapilheira Institute [Serra-1812-27802]
- CAPES-NUFFIC Project [88887.156521/2017-00]
- DOE Office of Science, Office of Nuclear Physics [DE-SC0021143]
- Office of Naval Research [N00014-20-1-2695]
- Army Research Lab [W911QX20P0063]
- Army Research office [W911NF21P0003]
- ERC AdG NOQIA
- State Research Agency AEI [CEX2019-000910-S, FIDEUA PID2019-106901GB-I00/10.13039/501100011033, QUANTERA MAQS PCI2019-111828-2/10.13039/501100011033]
- Generalitat de Catalunya (AGAUR Grant) [2017 SGR 1341]
- Generalitat de Catalunya (RETOS-QUSPIN)
- Generalitat de Catalunya (CERCA program)
- Generalitat de Catalunya (QuantumCAT) [U16-011424]
- EU Horizon 2020 FET-OPEN OPTOLogic [899794]
- National Science Centre, Poland (Symfonia Grant) [2016/20/W/ST4/00314]
- Marie Skodowska-Curie Grant STREDCH [101029393]
- La Caixa Junior Leaders fellowships [ID100010434]
- EU [847648 (LCF/BQ/PI19/11690013), 847648 (LCF/BQ/PI20/11760031), 847648 (LCF/BQ/PR20/11770012)]
- Fundaci Privada Cellex
- Fundaci Mir-Puig
- Generalitat de Catalunya (ERDF Operational Program of Catalonia 2014-2020)
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The study investigates the effects of nonlocal couplings in the long-range spin-1/2 XXZ Heisenberg Hamiltonian, particularly focusing on the calculation of the two-spin energy spectrum. The presence of bound states for two spins is crucial for determining both two- and many-spin dynamics, with implications on spin spreading and dynamical stabilization of effective antiferromagnetic states. The research also proposes a novel scheme using a trapped-ion quantum simulator to experimentally realize the long-range XXZ model and study its out-of-equilibrium properties.
Experimental platforms based on trapped ions, cold molecules, and Rydberg atoms have made possible the investigation of highly nonlocal spin-1/2 Hamiltonians with long-range couplings. Here, we study the effects of such nonlocal couplings in the long-range spin-1/2 XXZ Heisenberg Hamiltonian. We calculate explicitly the two-spin energy spectrum, which describes all possible energetic configurations of two spins pointing in a specific direction embedded in a background of spins with opposite orientation. For fast decay of the spin-spin couplings, we find that the two-spin energy spectrum is characterized by well-defined discrete values, corresponding to bound states, separated by a set of continuum states describing the scattering region. In the deep long-range regime instead, the bound states disappear as they get incorporated by the scattering region. The presence of two-spin bound states results to be crucial to determine both two- and many-spin dynamics. On one hand, radically different two-spin spreadings can be observed by tuning the decay of the spin couplings. On the other hand, two-spin bound states enable the dynamical stabilization of effective antiferromagnetic states in the presence of ferromagnetic couplings. Finally, we propose a novel scheme based on a trapped-ion quantum simulator to experimentally realize the long-range XXZ model and to study its out-of-equilibrium properties.
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