Heidelberg 2015 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 18: Quantum Information: Concepts and Methods III

Q 18.6: Vortrag

Dienstag, 24. März 2015, 12:15–12:30, K/HS1

Variational matrix product states for the steady state of dissipative quantum systems — •Jian Cui1,2, J. Ignacio Cirac3, and Mari Carmen Banuls31Imperial College London, the United Kingdom — 2Freiburg Institute for Advanced Studies, Freiburg, Germany — 3Max-Planck-Institut fur Quantenoptik, Garching, Germany

We present a new variational method for finding the steady state of dissipative quantum chains. Based on the matrix product operator (MPO) ansatz, the algorithm allows the investigation of stationary states for master equations of the Lindblad form. Different to time dependent (tDMRG) methods, that follow the evolution until convergence, our scheme does not require an accurate repre- sentation of the state at all intermediate times, and can thus benefit from a faster convergence when the steady state is, as often the case, a MPO with small bond dimension. We illustrate the performance of the method in the case of a low-dimensional version of the Dicke model and the dissipative Ising chain, which describes Rydberg atoms.

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