TeNeS: Tensor network solver for quantum lattice systems

Motoyama, Yuichi; Okubo, Tsuyoshi; Yoshimi, Kazuyoshi; Morita, Satoshi; Katô, Takeo; Kawashima, Naoki

doi:10.1016/j.cpc.2022.108437

Cited by 8 publications

(1 citation statement)

References 72 publications

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“…We adopt the TeNeS library [54][55][56] and calculate the ground-state candidates up to 𝐷 = 12 using the simple update algorithm [45,57]. We calculate physical quantities in the thermodynamic limit using the corner transfer matrix renormalization group (CTMRG) method [46-48, 50, 58-64].…”

Section: Model and Methodsmentioning

confidence: 99%

Reentrance of the Disordered Phase in the Antiferromagnetic Ising Model on a Square Lattice with Longitudinal and Transverse Magnetic Fields

et al. 2021

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Motivated by the recent experiments with Rydberg atoms in an optical tweezer array, we accurately map out the ground-state phase diagram of the antiferromagnetic Ising model on a square lattice with longitudinal and transverse magnetic fields using the quantum Monte Carlo method. For a small but nonzero transverse field, the transition longitudinal field is found to stay nearly constant. By scrutinizing the phase diagram, we have uncovered a narrow region where the system exhibits reentrant transitions between the disordered and antiferromagnetic phases when the transverse field increases. Our phase diagram provides a useful benchmark for quantum simulation with the Rydberg-atom system.

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Section: Model and Methodsmentioning

confidence: 99%

Reentrance of the Disordered Phase in the Antiferromagnetic Ising Model on a Square Lattice with Longitudinal and Transverse Magnetic Fields

et al. 2021

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MateriApps LIVE! and MateriApps Installer: Environment for starting and scaling up materials science simulations

Motoyama¹,

Yoshimi²,

Katô³

et al. 2022

SoftwareX

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Tensor-network study of correlation-spreading dynamics in the two-dimensional Bose-Hubbard model

Kaneko

Danshita

2022

Commun Phys

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Recent developments in analog quantum simulators based on cold atoms and trapped ions call for cross-validating the accuracy of quantum-simulation experiments with use of quantitative numerical methods; however, it is particularly challenging for dynamics of systems with more than one spatial dimension. Here we demonstrate that a tensor-network method running on classical computers is useful for this purpose. We specifically analyze real-time dynamics of the two-dimensional Bose-Hubbard model after a sudden quench starting from the Mott insulator by means of the tensor-network method based on infinite projected entangled pair states. Calculated single-particle correlation functions are found to be in good agreement with a recent experiment. By estimating the phase and group velocities from the single-particle and density-density correlation functions, we predict how these velocities vary in the moderate interaction region, which serves as a quantitative benchmark for future experiments and numerical simulations.

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TeNeS: Tensor network solver for quantum lattice systems

Cited by 8 publications

References 72 publications

Reentrance of the Disordered Phase in the Antiferromagnetic Ising Model on a Square Lattice with Longitudinal and Transverse Magnetic Fields

Reentrance of the Disordered Phase in the Antiferromagnetic Ising Model on a Square Lattice with Longitudinal and Transverse Magnetic Fields

MateriApps LIVE! and MateriApps Installer: Environment for starting and scaling up materials science simulations

Tensor-network study of correlation-spreading dynamics in the two-dimensional Bose-Hubbard model

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