Quantum circuits reproduce the experimental two-dimensional many-body localization transition point

Physics

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2108.08268v3
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https://doi.org/10.1103/PhysRevB.109.L140202
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Keywords

Charge density, Optical lattices, Phase diagrams, Timing circuits, 'current, Disordered system, High-dimensional, Higher-dimensional, Localisation, Many body, One dimension, Quantum circuit, Transition point, Two-dimensional, Charge density waves

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Quantum circuits reproduce the experimental two-dimensional many-body localization transition point. / Li, J.; Chan, A.; Wahl, T.B.
In: Physical Review B, Vol. 109, No. 14, L140202, 30.04.2024.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Bibtex

@article{3e3104413a034349946e5d1ca333e202,

title = "Quantum circuits reproduce the experimental two-dimensional many-body localization transition point",

abstract = "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 timescales. However, thus far, theoretical approaches have been unable to quantitatively reproduce experimentally measured MBL features - an important requirement to demonstrate their validity. In this Letter, 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. 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. ",

keywords = "Charge density, Optical lattices, Phase diagrams, Timing circuits, 'current, Disordered system, High-dimensional, Higher-dimensional, Localisation, Many body, One dimension, Quantum circuit, Transition point, Two-dimensional, Charge density waves",

author = "J. Li and A. Chan and T.B. Wahl",

year = "2024",

month = apr,

day = "30",

doi = "10.1103/PhysRevB.109.L140202",

language = "English",

volume = "109",

journal = "Physical Review B",

issn = "2469-9950",

publisher = "American Physical Society (APS)",

number = "14",

}

RIS

TY - JOUR

T1 - Quantum circuits reproduce the experimental two-dimensional many-body localization transition point

AU - Li, J.

AU - Chan, A.

AU - Wahl, T.B.

PY - 2024/4/30

Y1 - 2024/4/30

N2 - 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 timescales. However, thus far, theoretical approaches have been unable to quantitatively reproduce experimentally measured MBL features - an important requirement to demonstrate their validity. In this Letter, 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. 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.

AB - 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 timescales. However, thus far, theoretical approaches have been unable to quantitatively reproduce experimentally measured MBL features - an important requirement to demonstrate their validity. In this Letter, 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. 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.

KW - Charge density

KW - Optical lattices

KW - Phase diagrams

KW - Timing circuits

KW - 'current

KW - Disordered system

KW - High-dimensional

KW - Higher-dimensional

KW - Localisation

KW - Many body

KW - One dimension

KW - Quantum circuit

KW - Transition point

KW - Two-dimensional

KW - Charge density waves

U2 - 10.1103/PhysRevB.109.L140202

DO - 10.1103/PhysRevB.109.L140202

M3 - Journal article

VL - 109

JO - Physical Review B

JF - Physical Review B

SN - 2469-9950

IS - 14

M1 - L140202

ER -

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