Finite-temperature real-time properties of magnetic polarons in two-dimensional quantum antiferromagnets
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866912319607406592 |
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| author | Guthardt, Toni Scheb, Markus von Delft, Jan Grusdt, Fabian Bohrdt, Annabelle |
| author_facet | Guthardt, Toni Scheb, Markus von Delft, Jan Grusdt, Fabian Bohrdt, Annabelle |
| contents | Due to significant progress in quantum gas microscopy in recent years, there is a rapidly growing interest in real-space properties of single mobile dopands created in correlated antiferromagnetic (AFM) Mott insulators. However, a detailed numerical description remains challenging, even for simple toy models. As a consequence, previous numerical simulations for large systems were largely limited to $T=0$. To provide guidance for cold-atom experiments, numerical calculations at finite temperature are required. Here, we numerically study the real-time properties of a single mobile hole in the 2D $t$-$J$ model at finite temperature and draw a comparison to features observed at $T=0$. We find that a three-stage process of hole motion, which was reported at $T=0$, is valid even at finite temperature. However, already at low temperatures, the average hole velocity at long times is not simply proportional to the spin coupling, contrary to the $T=0$ behavior. Comparing our finite-temperature numerical results with the experimental data from quantum gas microscopy we find a qualitative disagreement: in experiment, hole spreading speeds up with increasing $J/t$, while in our numerics it slows down. The latter is consistent with the numerical findings previously reported at $T=0$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_07715 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finite-temperature real-time properties of magnetic polarons in two-dimensional quantum antiferromagnets Guthardt, Toni Scheb, Markus von Delft, Jan Grusdt, Fabian Bohrdt, Annabelle Quantum Gases Strongly Correlated Electrons Due to significant progress in quantum gas microscopy in recent years, there is a rapidly growing interest in real-space properties of single mobile dopands created in correlated antiferromagnetic (AFM) Mott insulators. However, a detailed numerical description remains challenging, even for simple toy models. As a consequence, previous numerical simulations for large systems were largely limited to $T=0$. To provide guidance for cold-atom experiments, numerical calculations at finite temperature are required. Here, we numerically study the real-time properties of a single mobile hole in the 2D $t$-$J$ model at finite temperature and draw a comparison to features observed at $T=0$. We find that a three-stage process of hole motion, which was reported at $T=0$, is valid even at finite temperature. However, already at low temperatures, the average hole velocity at long times is not simply proportional to the spin coupling, contrary to the $T=0$ behavior. Comparing our finite-temperature numerical results with the experimental data from quantum gas microscopy we find a qualitative disagreement: in experiment, hole spreading speeds up with increasing $J/t$, while in our numerics it slows down. The latter is consistent with the numerical findings previously reported at $T=0$. |
| title | Finite-temperature real-time properties of magnetic polarons in two-dimensional quantum antiferromagnets |
| topic | Quantum Gases Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2504.07715 |