journal article·2024-03-01Open access

Simulations of the dynamics of quantum impurity problems with matrix product states

Matteo M. Wauters, Chia-Min Chung, Lorenzo Maffi, Michele Burrello

Physical Review B· Volume 109· Issue 11

Abstract

The Anderson impurity model is a paradigmatic example in the study of strongly correlated quantum systems and describes an interacting quantum dot coupled to electronic leads. Here we investigate its dynamics following a quantum quench based on matrix product state simulations. We examine the behavior of its impurity magnetization. Its relaxation allows us to extract the predicted scaling of the Kondo temperature as a function of the impurity-lead hybridization and quantum dot repulsion. Additionally, our simulations provide estimates of the currents in the nonequilibrium quasisteady state appearing after the quench. Through their values, we examine the dependence of the conductance on the voltage bias ${V}b$ and on the impurity chemical potential ${V}g$, which displays a zero-bias Kondo peak. Our results are relevant for transport measurements in Coulomb blockaded devices, and, in particular, in quantum dots induced in nanowires.
Source: openalex_inverted_index · Quality: baseline

Research context

OpenAlex topics: Quantum and electron transport phenomena · Topological Materials and Phenomena · Quantum many-body systems

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Niels Bohr International Academy and Center for Quantum Devices, Niels Bohr Institute, Copenhagen University, Universitetsparken 5, 2100 Copenhagen, Denmark

Pitaevskii BEC Center and Department of Physics, University of Trento, Via Sommarive 14, I-38123 Trento, Italy

INFN-TIFPA, Trento Institute for Fundamental Physics and Applications, Via Sommarive 14, I-38123 Trento, Italy

Department of Physics, National Sun Yat-sen University, Kaohsiung 80424, Taiwan

Center for Theoretical and Computational Physics, National Sun Yat-Sen University, Kaohsiung 80424, Taiwan

Physics Division, National Center for Theoretical Sciences, Taipei 10617, Taiwan

Funding

Villum Fonden · Ministry of Science and Technology

References (58)

Show source-provided references
1. 10.1038/3437310.1038/34373 ↗
2. 10.1126/science.281.5376.54010.1126/science.281.5376.540 ↗
3. 10.1038/3504254510.1038/35042545 ↗
4. 10.1103/PhysRevB.74.23330410.1103/PhysRevB.74.233304 ↗
5. 10.1103/PhysRevLett.120.14360110.1103/PhysRevLett.120.143601 ↗
6. 10.1103/PhysRevB.97.15515610.1103/PhysRevB.97.155156 ↗
7. 10.1088/0022-3719/11/24/03010.1088/0022-3719/11/24/030 ↗
8. 10.1103/PhysRevB.79.03532010.1103/PhysRevB.79.035320 ↗
9. 10.1103/PhysRevB.81.03510810.1103/PhysRevB.81.035108 ↗
10. 10.1103/PhysRevB.84.08513410.1103/PhysRevB.84.085134 ↗
11. 10.1103/PhysRevB.91.24515410.1103/PhysRevB.91.245154 ↗
12. 10.1103/PhysRevB.100.20110410.1103/PhysRevB.100.201104 ↗
13. 10.1103/PhysRevB.105.08512610.1103/PhysRevB.105.085126 ↗
14. 10.1103/PhysRevLett.101.06680410.1103/PhysRevLett.101.066804 ↗
15. 10.1088/1367-2630/aad99d10.1088/1367-2630/aad99d ↗
16. 10.1103/PhysRevB.73.19530410.1103/PhysRevB.73.195304 ↗
17. 10.1103/PhysRevB.78.19531710.1103/PhysRevB.78.195317 ↗
18. 10.1103/PhysRevB.79.23533610.1103/PhysRevB.79.235336 ↗
19. 10.1103/PhysRevLett.121.13770210.1103/PhysRevLett.121.137702 ↗
20. 10.1103/PhysRevB.106.12541310.1103/PhysRevB.106.125413 ↗
21. 10.1088/1742-5468/ac729b10.1088/1742-5468/ac729b ↗
22. 10.1103/PhysRevB.107.L20111510.1103/PhysRevB.107.L201115 ↗
23. 10.1088/1367-2630/12/4/04304210.1088/1367-2630/12/4/043042 ↗
24. 10.1103/PhysRevB.106.09430810.1103/PhysRevB.106.094308 ↗
25. 10.1103/PhysRevLett.95.19680110.1103/PhysRevLett.95.196801 ↗
26. 10.1103/RevModPhys.86.77910.1103/RevModPhys.86.779 ↗
27. 10.1103/PhysRevB.80.16511710.1103/PhysRevB.80.165117 ↗
28. 10.1103/PhysRevA.90.02362410.1103/PhysRevA.90.023624 ↗
29. 10.1103/PhysRevLett.117.20720110.1103/PhysRevLett.117.207201 ↗
30. 10.1088/1742-5468/2016/06/06400210.1088/1742-5468/2016/06/064002 ↗
31. 10.1007/BF0164577910.1007/BF01645779 ↗
32. 10.1103/PhysRevLett.113.18720310.1103/PhysRevLett.113.187203 ↗
33. 10.1209/0295-5075/115/4001110.1209/0295-5075/115/40011 ↗
34. 10.21468/SciPostPhys.6.1.00410.21468/SciPostPhys.6.1.004 ↗
35. 10.1103/PhysRevLett.101.14060110.1103/PhysRevLett.101.140601 ↗
36. 10.1103/PhysRevB.87.11511510.1103/PhysRevB.87.115115 ↗
37. 10.1103/PhysRevB.96.08510710.1103/PhysRevB.96.085107 ↗
38. 10.1103/PhysRevB.107.19510110.1103/PhysRevB.107.195101 ↗
39. 10.1103/PhysRevB.107.12510310.1103/PhysRevB.107.125103 ↗
40. 10.1140/epjb/e2011-20880-710.1140/epjb/e2011-20880-7 ↗
41. 10.1103/PhysRevLett.107.07060110.1103/PhysRevLett.107.070601 ↗
42. 10.1103/PhysRevB.94.16511610.1103/PhysRevB.94.165116 ↗
43. 10.1103/PhysRevLett.124.13770110.1103/PhysRevLett.124.137701 ↗
44. 10.21468/SciPostPhysCodeb.410.21468/SciPostPhysCodeb.4 ↗
45. 10.1103/PhysRevB.71.19330310.1103/PhysRevB.71.193303 ↗
46. 10.1103/PhysRevB.107.07511010.1103/PhysRevB.107.075110 ↗
47. 10.1103/PhysRevB.77.04511910.1103/PhysRevB.77.045119 ↗
48. 10.1103/PhysRevB.62.815410.1103/PhysRevB.62.8154 ↗
49. 10.1103/PhysRevB.79.08510610.1103/PhysRevB.79.085106 ↗
50. 10.1103/PhysRevLett.109.15680310.1103/PhysRevLett.109.156803 ↗
51. 10.1103/PhysRevLett.110.21680310.1103/PhysRevLett.110.216803 ↗
52. 10.1103/PhysRevLett.110.19640110.1103/PhysRevLett.110.196401 ↗
53. 10.1103/PhysRevB.108.L22030210.1103/PhysRevB.108.L220302 ↗
54. 10.1002/adfm.20210792610.1002/adfm.202107926 ↗
55. 10.1021/acs.nanolett.2c0116110.1021/acs.nanolett.2c01161 ↗
56. 10.1103/PhysRevB.106.23542510.1103/PhysRevB.106.235425 ↗
57. 10.1146/annurev-conmatphys-031218-01361810.1146/annurev-conmatphys-031218-013618 ↗
58. 10.21468/SciPostPhysLectNotes.1510.21468/SciPostPhysLectNotes.15 ↗