18 citations · 30 across the 9 of their papers we have counts for
8 papers · 1 filter
Quantum Ising Model on Dimensional Antide Sitter Space using Tensor Networks
Abhishek Samlodia, Simon Catterall, Alexander F. Kemper +2
We study the quantum Ising model on (2+1)-dimensional anti-de Sitter space using Matrix Product States (MPS) and Matrix Product Operators (MPOs). We explore the bulk phase diagram…
Symmetries and Anomalies of Hamiltonian Staggered Fermions
Simon Catterall, Arnab Pradhan, Abhishek Samlodia
We review the shift (translation) and time reversal symmetries of Hamiltonian staggered fermions and their connection to continuum symmetries concentrating in particular on the cas…
Phase diagram of generalized XY model using tensor renormalization group
Abhishek Samlodia, Vamika Longia, Raghav G. Jha +1
We use the higher-order tensor renormalization group method to study the two-dimensional generalized XY model that admits integer and half-integer vortices. This model is the defor…
Fermions, quantum gravity and holography in two dimensions
Muhammad Asaduzzaman, Simon Catterall, Abhishek Samlodia
We study a model comprising flavors of Kähler Dirac fermion propagating on a triangulated two dimensional disk which is constrained to have a negative average bulk curvature. D…
Deconfinement Phase Transition in Bosonic BMN Model at General Coupling
Navdeep Singh Dhindsa, Anosh Joseph, Abhishek Samlodia +1
We present our analysis of the deconfinement phase transition in the bosonic BMN matrix model. The model is investigated using a non-perturbative lattice framework. We used the Pol…
Investigating the Two-Dimensional Generalized XY Model using Tensor Networks
Vamika Longia, Anosh Joseph, Abhishek Samlodia
The critical behavior of the two-dimensional XY model has been explored in the literature using various methods. They include the high-temperature expansion (HTE) method, Monte Car…
GPU-Acceleration of Tensor Renormalization with PyTorch using CUDA
Raghav G. Jha, Abhishek Samlodia
We show that numerical computations based on tensor renormalization group (TRG) methods can be significantly accelerated with PyTorch on graphics processing units (GPUs) by leverag…
Non-perturbative phase structure of the bosonic BMN matrix model
Navdeep Singh Dhindsa, Raghav G. Jha, Anosh Joseph +2
We study the bosonic part of the BMN matrix model for wide ranges of temperatures, values of the deformation parameter, and numbers of colors . Using lattice com…