Matrix Product Density Operators: Simulation of finite-T and dissipative systems

Details Matrix Product Density Operators: Simulation of finite-T and dissipative systems Matrix Product Density Operators: Simulation of finite-T and dissipative systems

2004-06-18

arxiv.org/abs/cond-mat/0406426v2

Phys. Rev. Lett. 93, 207204 (2004)

Physics

Condensed Matter

Other Condensed Matter

See also M. Zwolak et al. cond-mat/0406440

Scientific paper

10.1103/PhysRevLett.93.207204

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 inhomogeneous systems and it is based on two ideas: (a) a representation for density operators which extends that of matrix product states to mixed states; (b) an algorithm to approximate the evolution (in real or imaginary time) of such states which is variational (and thus optimal) in nature.

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