Bound state dynamics in the long-range spin- 1 2 XXZ model
Abstract
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. Here, 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 themore »
- Authors:
-
[1];
[2];
[3];
[4];
- Univ. Federal do Rio Grande do Norte, Natal (Brazil)
- University of Calabria, Cosenza (Italy); Istituto Nazionale di Fisica Nucleare (INFN), Cosenza (Italy)
- Rice Univ., Houston, TX (United States)
- Barcelona Institute of Science and Technology (BIST), Tarragona (Spain); Univ. Autonoma de Barcelona (Spain). Inst. Catalana de Recerca i Estudis Avancats (ICREA)
- Politecnico di Torino (Italy)
- Publication Date:
- Research Org.:
- Univ. of Maryland, College Park, MD (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP); Serrapilheira Institute; European Research Council (ERC); European Union (EU); Polish National Science Centre (NCN); US Department of the Navy, Office of Naval Research (ONR); US Army Research Laboratory (USARL); US Army Research Office (ARO); Agency for Management of University and Research Grants (AGAUR)
- OSTI Identifier:
- 1979682
- Grant/Contract Number:
- SC0021143; Serra-1812-27802; 899794; 2016/20/W/ST4/00314; N00014-20-1-2695; W911NF21P0003; 2017 SGR 1341; 101029393; 847648
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 104; Journal Issue: 21; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; materials science; physics; bound states; spin dynamics; spin; Heisenberg model
Citation Formats
Macrì, Tommaso, Lepori, Luca, Pagano, Guido, Lewenstein, Maciej, and Barbiero, L. Bound state dynamics in the long-range spin-12 XXZ model. United States: N. p., 2021.
Web. doi:10.1103/physrevb.104.214309.
Macrì, Tommaso, Lepori, Luca, Pagano, Guido, Lewenstein, Maciej, & Barbiero, L. Bound state dynamics in the long-range spin-12 XXZ model. United States. https://doi.org/10.1103/physrevb.104.214309
Macrì, Tommaso, Lepori, Luca, Pagano, Guido, Lewenstein, Maciej, and Barbiero, L. Wed .
"Bound state dynamics in the long-range spin-12 XXZ model". United States. https://doi.org/10.1103/physrevb.104.214309. https://www.osti.gov/servlets/purl/1979682.
@article{osti_1979682,
title = {Bound state dynamics in the long-range spin-12 XXZ model},
author = {Macrì, Tommaso and Lepori, Luca and Pagano, Guido and Lewenstein, Maciej and Barbiero, L.},
abstractNote = {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. Here, 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.},
doi = {10.1103/physrevb.104.214309},
journal = {Physical Review. B},
number = 21,
volume = 104,
place = {United States},
year = {Wed Dec 22 00:00:00 EST 2021},
month = {Wed Dec 22 00:00:00 EST 2021}
}
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