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Variational study of hard-core bosons in a 2-D optical lattice using Projected Entangled Pair States (PEPS)
V. Murg, F. Verstraete, J. I. Cirac
We have studied the system of hard-core bosons on a 2-D optical lattice using a variational algorithm based on projected entangled-pair states (PEPS). We have investigated the grou…
Exploiting Quantum Parallelism To Simulate Quantum Random Many-Body Systems
B. Paredes, F. Verstraete, J. I. Cirac
We present an algorithm that exploits quantum parallelism to simulate randomness in a quantum system. In our scheme, all possible realizations of the random parameters are encoded…
Efficient evaluation of partition functions of frustrated and inhomogeneous spin systems
V. Murg, F. Verstraete, J. I. Cirac
We present a numerical method to evaluate partition functions and associated correlation functions of inhomogeneous 2--D classical spin systems and 1--D quantum spin systems. The m…
Matrix Product Density Operators: Simulation of finite-T and dissipative systems
F. Verstraete, J. J. Garcia-Ripoll, J. I. Cirac
We show how to simulate numerically both the evolution of 1D quantum systems under dissipation as well as in thermal equilibrium. The method applies to both finite and inhomogeneou…