1.5k citations · 11.2k across the 149 of their papers we have counts for
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Leveraging recurrence in neural network wavefunctions for large-scale simulations of Heisenberg antiferromagnets on the triangular lattice
M. Schuyler Moss, Roeland Wiersema, Mohamed Hibat-Allah +2
Variational Monte Carlo simulations have been crucial for understanding quantum many-body systems, especially when the Hamiltonian is frustrated and the ground-state wavefunction h…
Leveraging recurrence in neural network wavefunctions for large-scale simulations of Heisenberg antiferromagnets on the square lattice
M. Schuyler Moss, Roeland Wiersema, Mohamed Hibat-Allah +2
Machine-learning-based variational Monte Carlo simulations are a promising approach for targeting quantum many-body ground states, especially in two dimensions and in cases where t…
Autoregressive neural quantum states of Fermi Hubbard models
Eduardo Ibarra-García-Padilla, Hannah Lange, Roger G Melko +4
Neural quantum states (NQS) have emerged as a powerful ansatz for variational quantum Monte Carlo studies of strongly-correlated systems. Here, we apply recurrent neural networks (…
Corner entanglement of a resonating valence bond wavefunction
Giacomo Torlai, Roger G. Melko
We perform a quantum Monte Carlo simulation of the resonating valence bond wavefunction on a two-dimensional square lattice with periodic boundary conditions. Using two replicas of…
Investigating Topological Order using Recurrent Neural Networks
Mohamed Hibat-Allah, Roger G. Melko, Juan Carrasquilla
Recurrent neural networks (RNNs), originally developed for natural language processing, hold great promise for accurately describing strongly correlated quantum many-body systems.…
Stochastic Series Expansion Quantum Monte Carlo for Rydberg Arrays
Ejaaz Merali, Isaac J. S. De Vlugt, Roger G. Melko
Arrays of Rydberg atoms are a powerful platform to realize strongly-interacting quantum many-body systems. A common Rydberg Hamiltonian is free of the sign problem, meaning that it…
Universal divergence of the Renyi entropy of a thinly sliced torus at the Ising fixed point
Bohdan Kulchytskyy, Lauren E. Hayward Sierens, Roger G. Melko
The entanglement entropy of a quantum critical system can provide new universal numbers that depend on the geometry of the entangling bipartition. We calculate a universal number c…
Making Trotters Sprint: A Variational Imaginary Time Ansatz for Quantum Many-body Systems
Matthew J. S. Beach, Roger G. Melko, Tarun Grover +1
We introduce a variational wavefunction for many-body ground states that involves imaginary time evolution with two different Hamiltonians in an alternating fashion with variable t…
Probing trihedral corner entanglement for Dirac fermions
Grigory Bednik, Lauren E. Hayward Sierens, Minyong Guo +2
We investigate the universal information contained in the Renyi entanglement entropies for a free massless Dirac fermion in three spatial dimensions. Using numerical calculations o…
Machine Learning Quantum Spin Liquids with Quasi-particle Statistics
Yi Zhang, Roger G. Melko, Eun-Ah Kim
After decades of progress and effort, obtaining a phase diagram for a strongly-correlated topological system still remains a challenge. Although in principle one could turn to Wils…
Tripartite entangled plaquette state in a cluster magnet
Juan Carrasquilla, Gang Chen, Roger G. Melko
Using large-scale quantum Monte Carlo simulations we show that a spin- XXZ model on a two-dimensional anisotropic Kagome lattice exhibits a tripartite entangled plaquette stat…
Cubic trihedral corner entanglement for a free scalar
Lauren E. Hayward Sierens, Pablo Bueno, Rajiv R. P. Singh +2
We calculate the universal contribution to the -Renyi entropy from a cubic trihedral corner in the boundary of the entangling region in 3+1 dimensions for a massless free scalar…
Machine Learning Phases of Strongly Correlated Fermions
Kelvin Ch'ng, Juan Carrasquilla, Roger G. Melko +1
Machine learning offers an unprecedented perspective for the problem of classifying phases in condensed matter physics. We employ neural-network machine learning techniques to dist…
Machine learning quantum phases of matter beyond the fermion sign problem
Peter Broecker, Juan Carrasquilla, Roger G. Melko +1
State-of-the-art machine learning techniques promise to become a powerful tool in statistical mechanics via their capacity to distinguish different phases of matter in an automated…
Shape dependence of two-cylinder Renyi entropies for free bosons on a lattice
Leilee Chojnacki, Caleb Q. Cook, Denis Dalidovich +4
Universal scaling terms occurring in Renyi entanglement entropies have the potential to bring new understanding to quantum critical points in free and interacting systems. Quantita…
Universal corner entanglement of Dirac fermions and gapless bosons from the continuum to the lattice
Johannes Helmes, Lauren E. Hayward Sierens, Anushya Chandran +2
A quantum critical (QC) fluid exhibits universal subleading corrections to the area law of its entanglement entropies. In two dimensions when the partition involves a corner of ang…
Machine learning phases of matter
Juan Carrasquilla, Roger G. Melko
Neural networks can be used to identify phases and phase transitions in condensed matter systems via supervised machine learning. Readily programmable through modern software libra…
Cornering gapless quantum states via their torus entanglement
William Witczak-Krempa, Lauren E. Hayward Sierens, Roger G. Melko
The entanglement entropy (EE) has emerged as an important window into the structure of complex quantum states of matter. We analyze the universal part of the EE for gapless systems…
A Large- Study of Quantum Kagome Ice
S. A. Owerre, A. A. Burkov, Roger G. Melko
We present a large- study of a quantum spin ice Hamiltonian, introduced by Huang, et al., [PRL 112, 167203 (2014)], on the kagome lattice. This model involves a competition betw…
Entanglement Entropy and Topological Order in Resonating Valence-Bond Quantum Spin Liquids
Julia Wildeboer, Alexander Seidel, Roger G. Melko
On the triangular and kagome lattices, short-ranged resonating valence bond (RVB) wave functions can be sampled without the sign problem using a recently-developed Pfaffian Monte C…
Spinon walk in quantum spin ice
Yuan Wan, Juan Carrasquilla, Roger G. Melko
We study a minimal model for the dynamics of spinons in quantum spin ice. The model captures the essential strong coupling between the spinon and the disordered background spins. W…
Detecting Goldstone Modes with Entanglement Entropy
B. Kulchytskyy, C. M. Herdman, Stephen Inglis +1
In the face of mounting numerical evidence, Metlitski and Grover [arXiv:1112.5166] have given compelling analytical arguments that systems with spontaneous broken continuous symmet…
Corner contribution to the entanglement entropy of strongly-interacting O(2) quantum critical systems in 2+1 dimensions
E. M. Stoudenmire, Peter Gustainis, Ravi Johal +2
In a D=2+1 quantum critical system, the entanglement entropy across a boundary with a corner contains a subleading logarithmic scaling term with a universal coefficient. It has bee…
Quantum Kagome Ice
Juan Carrasquilla, Zhihao Hao, Roger G. Melko
Actively shought since the turn of the century, two-dimensional quantum spin liquids (QSLs) are exotic phases of matter where magnetic moments remain disordered even at extremely l…