Quantum Circuits Reproduce Experimental Two-dimensional Many-body Localization Transition Point
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| Format: | Preprint |
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2021
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| _version_ | 1866929338502348800 |
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| author | Li, Joey Chan, Amos Wahl, Thorsten B. |
| author_facet | Li, Joey Chan, Amos Wahl, Thorsten B. |
| contents | While many studies point towards the existence of many-body localization (MBL) in one dimension, the fate of higher-dimensional strongly disordered systems is a topic of current debate. The latest experiments as well as several recent numerical studies indicate that such systems behave many-body localized -- at least on practically relevant time scales. However, thus far, theoretical approaches have been unable to quantitatively reproduce experimentally measured MBL features -- an important requirement to demonstrate their validity. In this work, we use fermionic quantum circuits as a variational method to approximate the full set of eigenstates of two-dimensional MBL systems realized in fermionic optical lattice experiments. Using entanglement-based features, we obtain a phase transition point in excellent agreement with the experimentally measured value. Moreover, we calculate, the filling fraction-dependent MBL phase diagram, an important feature which has not been addressed in previous literature. We argue that our approach best captures the underlying charge-density-wave experiments and compute the mean localization lengths, which can be compared to future experiments. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2108_08268 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Quantum Circuits Reproduce Experimental Two-dimensional Many-body Localization Transition Point Li, Joey Chan, Amos Wahl, Thorsten B. Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics Quantum Gases Statistical Mechanics Quantum Physics While many studies point towards the existence of many-body localization (MBL) in one dimension, the fate of higher-dimensional strongly disordered systems is a topic of current debate. The latest experiments as well as several recent numerical studies indicate that such systems behave many-body localized -- at least on practically relevant time scales. However, thus far, theoretical approaches have been unable to quantitatively reproduce experimentally measured MBL features -- an important requirement to demonstrate their validity. In this work, we use fermionic quantum circuits as a variational method to approximate the full set of eigenstates of two-dimensional MBL systems realized in fermionic optical lattice experiments. Using entanglement-based features, we obtain a phase transition point in excellent agreement with the experimentally measured value. Moreover, we calculate, the filling fraction-dependent MBL phase diagram, an important feature which has not been addressed in previous literature. We argue that our approach best captures the underlying charge-density-wave experiments and compute the mean localization lengths, which can be compared to future experiments. |
| title | Quantum Circuits Reproduce Experimental Two-dimensional Many-body Localization Transition Point |
| topic | Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics Quantum Gases Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2108.08268 |