Irreversibility as an Emergent Phenomenon: Efficient Simulations of Many-body Quantum Dynamics

PABLO RENÉ ZANGARA; DENISE BENDERSKY; CARLOS BEDERIÁN; HORACIO MIGUEL PASTAWSKI

Trieste

Workshop; School in Computational Condensed Matter Physics: From Atomistic Simulations to Universal Model Hamiltonians; 2015

The Abdus Salam International Centre for Theoretical Physics

The resolution of dynamics in out of equilibrium quantum spin systems lies at the heart of fundamental questions among Quantum Information Processing, Statistical Mechanics and Nano-Technologies. Efficient computational simulations of interacting many-spin systems are extremely valuable tools for tackling such questions. Here, we use the Trotter-Suzuki (TS) algorithm, a well-known strategy that provides the evolution of quantum systems, to address the spin dynamics. We present a GPU implementation of a particular TS version, which has been previously implemented on single cores in CPUs. We develop a massive parallel version of this algorithm and compare the efficiency between CPU and GPU implementations. This method reduces the execution time considerably and is capable of dealing with systems of up to 27 spins (only limited by GPU memory).