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Center for Nonlinear Studies |
An infinite projected entangled pair state (iPEPS) is a tensor network ansatz to represent a quantum state on an infinite 2D lattice whose accuracy is controlled by its bond dimension D. Its real, Lindbladian or imaginary time evolution can be split into small time steps. Every time step generates a new iPEPS with an enlarged bond dimension D' which is approximated by an iPEPS with the original D. I will present an efficient optimization scheme employing a local estimator of fidelity, see arxiv 1811.05497. The algorithm was tested simulating Lindbladian evolution and unitary evolution after a sudden quench of the transverse field in the 2D quantum Ising model. Furthermore, thermal states of this model were simulated by imaginary time evolution and the critical temperature was estimated with good accuracy. I will also report work in progress on thermal states in the Kitaev-Heisenberg model and Lindbladian master equation for Rydberg atoms.
Host: Lukasz Cincio