Bound state dynamics in the long-range spin- 12 XXZ model
Source abstract
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. 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.
Source: openalex_inverted_index · Quality: baseline
Research context
OpenAlex topics: Quantum many-body systems · Quantum Information and Cryptography · Quantum and electron transport phenomena
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Departamento de Física Teórica e Experimental, Universidade Federal do Rio Grande do Norte, 59072-970 Natal-RN, Brazil
International Institute of Physics, Universidade Federal do Rio Grande do Norte, 59078-400 Natal-RN, Brazil
Dipartimento di Fisica, Universitá della Calabria, Arcavacata di Rende I-87036, Cosenza, Italy
I.N.F.N., Gruppo collegato di Cosenza, Arcavacata di Rende I-87036, Cosenza, Italy
Department of Physics and Astronomy, Rice University, 6100 Main Street, Houston, Texas 77005, USA
ICFO - Institut de Ciències Fotòniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels (Barcelona), Spain
ICREA, Pg. Lluis Companys 23, ES-08010 Barcelona, Spain
Institute for Condensed Matter Physics and Complex Systems, DISAT, Politecnico di Torino, I-10129 Torino, Italy
Funding
Universidade Federal do Rio Grande do Norte · Conselho Nacional de Desenvolvimento Científico e Tecnológico · Instituto Serrapilheira · Coordenação de Aperfeiçoamento de Pessoal de Nível Superior · U.S. Department of Energy · Office of Science · Nuclear Physics · Office of Naval Research · Army Research Laboratory · Army Research Office · European Research Council · Agencia Estatal de Investigación · Generalitat de Catalunya · European Regional Development Fund · Horizon 2020 · Narodowe Centrum Nauki · H2020 Marie Skłodowska-Curie Actions · Università degli Studi dell'Aquila
References (100+)
Show source-provided references
1. 10.1103/RevModPhys.83.86310.1103/RevModPhys.83.863 ↗
2. 10.1038/nature0683810.1038/nature06838 ↗
3. 10.1088/0034-4885/79/5/05600110.1088/0034-4885/79/5/056001 ↗
4. 10.1080/00018732.2016.119813410.1080/00018732.2016.1198134 ↗
5. 10.1088/1742-5468/2016/06/06400210.1088/1742-5468/2016/06/064002 ↗
6. 10.1103/PhysRevX.4.03102710.1103/PhysRevX.4.031027 ↗
7. 10.1080/00018732.2015.105591810.1080/00018732.2015.1055918 ↗
8. 10.1103/RevModPhys.89.01100410.1103/RevModPhys.89.011004 ↗
9. 10.1126/sciadv.aav744410.1126/sciadv.aav7444 ↗
10. 10.1038/s41567-019-0615-410.1038/s41567-019-0615-4 ↗
11. 10.1038/s41567-019-0649-710.1038/s41567-019-0649-7 ↗
12. 10.1038/nature2281110.1038/nature22811 ↗
13. 10.1103/RevModPhys.80.106110.1103/RevModPhys.80.1061 ↗
14. 10.1126/science.106877410.1126/science.1068774 ↗
15. 10.1103/RevModPhys.90.01500210.1103/RevModPhys.90.015002 ↗
16. 10.1038/s41586-019-1070-110.1038/s41586-019-1070-1 ↗
17. 10.1088/1742-5468/2005/04/P0401010.1088/1742-5468/2005/04/P04010 ↗
18. 10.1126/science.aaa743210.1126/science.aaa7432 ↗
19. 10.1126/science.124840210.1126/science.1248402 ↗
20. 10.1103/PhysRevX.6.01102310.1103/PhysRevX.6.011023 ↗
21. 10.1103/PhysRevB.97.20111510.1103/PhysRevB.97.201115 ↗
22. 10.1038/nature0491810.1038/nature04918 ↗
23. 10.1103/PhysRevLett.104.08040110.1103/PhysRevLett.104.080401 ↗
24. 10.1103/PhysRevB.92.18040610.1103/PhysRevB.92.180406 ↗
25. 10.1103/PhysRevLett.124.01040410.1103/PhysRevLett.124.010404 ↗
26. 10.1103/PhysRevA.85.01361510.1103/PhysRevA.85.013615 ↗
27. 10.1103/PhysRevLett.108.21530210.1103/PhysRevLett.108.215302 ↗
28. 10.1038/nature1254110.1038/nature12541 ↗
29. 10.1103/PhysRevX.11.04105410.1103/PhysRevX.11.041054 ↗
30. 10.1103/PhysRevB.87.03510410.1103/PhysRevB.87.035104 ↗
31. U. Schollwöck · 200410.1007/b96825 ↗
32. 10.1103/PhysRevLett.108.07720610.1103/PhysRevLett.108.077206 ↗
33. 10.1103/PhysRevB.96.06430310.1103/PhysRevB.96.064303 ↗
34. 10.1103/PhysRevResearch.2.04334010.1103/PhysRevResearch.2.043340 ↗
35. 10.1103/PhysRevLett.102.13060310.1103/PhysRevLett.102.130603 ↗
36. T. Dauxois · 200210.1007/3-540-45835-2 ↗
37. 10.1103/PhysRevLett.104.24040310.1103/PhysRevLett.104.240403 ↗
38. 10.1103/PhysRevA.101.05360710.1103/PhysRevA.101.053607 ↗
39. 10.1103/PhysRevLett.93.14040210.1103/PhysRevLett.93.140402 ↗
40. 10.1007/s00220-006-1556-110.1007/s00220-006-1556-1 ↗
41. 10.1103/PhysRevX.10.03100910.1103/PhysRevX.10.031009 ↗
42. 10.1103/PhysRevLett.96.13680110.1103/PhysRevLett.96.136801 ↗
43. 10.1007/BF0164577910.1007/BF01645779 ↗
44. 10.1038/416608a10.1038/416608a ↗
45. 10.1103/RevModPhys.82.27710.1103/RevModPhys.82.277 ↗
46. 10.1103/PhysRevLett.111.20720210.1103/PhysRevLett.111.207202 ↗
47. 10.1103/PhysRevLett.119.02300110.1103/PhysRevLett.119.023001 ↗
48. 10.1103/PhysRevLett.111.26040110.1103/PhysRevLett.111.260401 ↗
49. 10.1103/PhysRevB.93.12512810.1103/PhysRevB.93.125128 ↗
50. 10.1103/PhysRevA.93.05362010.1103/PhysRevA.93.053620 ↗
51. 10.1088/1742-5468/aa569d10.1088/1742-5468/aa569d ↗
52. 10.1103/PhysRevLett.113.15640210.1103/PhysRevLett.113.156402 ↗
53. 10.1088/1367-2630/18/1/01500110.1088/1367-2630/18/1/015001 ↗
54. 10.1088/1367-2630/aafb8c10.1088/1367-2630/aafb8c ↗
55. 10.1103/PhysRevB.97.04110910.1103/PhysRevB.97.041109 ↗
56. 10.1103/PhysRevLett.109.26720310.1103/PhysRevLett.109.267203 ↗
57. 10.1016/j.aop.2016.07.02610.1016/j.aop.2016.07.026 ↗
58. 10.1103/PhysRevE.87.03290510.1103/PhysRevE.87.032905 ↗
59. 10.1103/PhysRevA.104.03330610.1103/PhysRevA.104.033306 ↗
60. 10.1088/1367-2630/aa84d010.1088/1367-2630/aa84d0 ↗
61. 10.1088/0034-4885/72/12/12640110.1088/0034-4885/72/12/126401 ↗
62. 10.1126/science.aam629910.1126/science.aam6299 ↗
63. 10.1103/RevModPhys.85.55310.1103/RevModPhys.85.553 ↗
64. 10.1126/science.125835110.1126/science.1258351 ↗
65. 10.1038/nature1827410.1038/nature18274 ↗
66. 10.1038/s41567-019-0733-z10.1038/s41567-019-0733-z ↗
67. 10.1116/5.003656210.1116/5.0036562 ↗
68. 10.1103/RevModPhys.93.02500110.1103/RevModPhys.93.025001 ↗
69. 10.1038/nature1098110.1038/nature10981 ↗
70. 10.1038/s41586-019-1177-410.1038/s41586-019-1177-4 ↗
71. 10.1038/nature1831810.1038/nature18318 ↗
72. 10.1038/nature2141310.1038/nature21413 ↗
73. 10.1126/science.abg810210.1126/science.abg8102 ↗
74. 10.1038/nphys378310.1038/nphys3783 ↗
75. 10.1038/s41586-021-03988-010.1038/s41586-021-03988-0 ↗
76. 10.1038/nature2465410.1038/nature24654 ↗
77. 10.1103/PhysRevLett.119.08050110.1103/PhysRevLett.119.080501 ↗
78. 10.1038/nature1346110.1038/nature13461 ↗
79. 10.1038/nature1345010.1038/nature13450 ↗
80. 10.1038/s41567-021-01194-310.1038/s41567-021-01194-3 ↗
81. 10.1103/PhysRevLett.125.12060510.1103/PhysRevLett.125.120605 ↗
82. F. Franchini · 201710.1007/978-3-319-48487-7 ↗
83. 10.1103/PhysRevB.95.24511110.1103/PhysRevB.95.245111 ↗
84. 10.1016/0029-5582(65)90862-X10.1016/0029-5582(65)90862-X ↗
85. 10.1103/PhysRevLett.70.232910.1103/PhysRevLett.70.2329 ↗
86. 10.1016/0550-3213(94)90344-110.1016/0550-3213(94)90344-1 ↗
87. 10.1088/0305-4470/26/10/00210.1088/0305-4470/26/10/002 ↗
88. 10.1103/PhysRevLett.60.63510.1103/PhysRevLett.60.635 ↗
89. 10.1103/PhysRevLett.60.63910.1103/PhysRevLett.60.639 ↗
90. 10.1103/PhysRevLett.125.24050410.1103/PhysRevLett.125.240504 ↗
91. 10.1126/science.abd954710.1126/science.abd9547 ↗
92. 10.1103/PhysRevLett.107.11530110.1103/PhysRevLett.107.115301 ↗
93. 10.1103/PhysRevLett.17.113310.1103/PhysRevLett.17.1133 ↗
94. M. Abramowitz · 1964
95. I. S. Gradshteyn · 2007
96. F. W. J. Olver · 2010
97. 10.1103/PhysRevLett.93.07640110.1103/PhysRevLett.93.076401 ↗
98. 10.1103/PhysRevB.72.02040410.1103/PhysRevB.72.020404 ↗
99. 10.1103/PhysRevLett.122.11360310.1103/PhysRevLett.122.113603 ↗
100. 10.1103/PhysRevB.95.02443110.1103/PhysRevB.95.024431 ↗