Subdiffusion in strongly tilted lattice systems
The quantum dynamics away from equilibrium is of fundamental interest for interacting lattice systems. In this work, we study strongly tilted lattice systems using the effective Hamiltonian derived from the microscopic description. We first give general arguments for the density relaxation rate sati...
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| Format: | Article |
| Language: | English |
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American Physical Society
2020-07-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.033129 |
| _version_ | 1797211327657148416 |
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| author | Pengfei Zhang |
| author_facet | Pengfei Zhang |
| author_sort | Pengfei Zhang |
| collection | DOAJ |
| description | The quantum dynamics away from equilibrium is of fundamental interest for interacting lattice systems. In this work, we study strongly tilted lattice systems using the effective Hamiltonian derived from the microscopic description. We first give general arguments for the density relaxation rate satisfying 1/τ∝k^{4} for a large class of systems, including the tilted Fermi Hubbard model that has been realized in the recent experiment, E. Guardado-Sanchez et al. [Phys. Rev. X 10, 011042 (2020)10.1103/PhysRevX.10.011042]. Here k is the wave vector of the density wave. The main ingredients are the emergence of the reflection symmetry and dipole moment conservation to the leading nontrivial order of the large tilted strength. To support our analysis, we then construct a solvable model with large local Hilbert space dimension by coupling sites discribed by the Sachdev-Ye-Kitaev models, where the density response can be computed explicitly. The the tilt strength and the temperature dependence of the subdiffusion constant are also discussed. |
| first_indexed | 2024-04-24T10:24:44Z |
| format | Article |
| id | doaj.art-46f2e6c87e1b4af58ba9e058b65e39cc |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:24:44Z |
| publishDate | 2020-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-46f2e6c87e1b4af58ba9e058b65e39cc2024-04-12T16:57:41ZengAmerican Physical SocietyPhysical Review Research2643-15642020-07-012303312910.1103/PhysRevResearch.2.033129Subdiffusion in strongly tilted lattice systemsPengfei ZhangThe quantum dynamics away from equilibrium is of fundamental interest for interacting lattice systems. In this work, we study strongly tilted lattice systems using the effective Hamiltonian derived from the microscopic description. We first give general arguments for the density relaxation rate satisfying 1/τ∝k^{4} for a large class of systems, including the tilted Fermi Hubbard model that has been realized in the recent experiment, E. Guardado-Sanchez et al. [Phys. Rev. X 10, 011042 (2020)10.1103/PhysRevX.10.011042]. Here k is the wave vector of the density wave. The main ingredients are the emergence of the reflection symmetry and dipole moment conservation to the leading nontrivial order of the large tilted strength. To support our analysis, we then construct a solvable model with large local Hilbert space dimension by coupling sites discribed by the Sachdev-Ye-Kitaev models, where the density response can be computed explicitly. The the tilt strength and the temperature dependence of the subdiffusion constant are also discussed.http://doi.org/10.1103/PhysRevResearch.2.033129 |
| spellingShingle | Pengfei Zhang Subdiffusion in strongly tilted lattice systems Physical Review Research |
| title | Subdiffusion in strongly tilted lattice systems |
| title_full | Subdiffusion in strongly tilted lattice systems |
| title_fullStr | Subdiffusion in strongly tilted lattice systems |
| title_full_unstemmed | Subdiffusion in strongly tilted lattice systems |
| title_short | Subdiffusion in strongly tilted lattice systems |
| title_sort | subdiffusion in strongly tilted lattice systems |
| url | http://doi.org/10.1103/PhysRevResearch.2.033129 |
| work_keys_str_mv | AT pengfeizhang subdiffusioninstronglytiltedlatticesystems |