articlePhysical Review LettersNov 12, 2004BRONZE OA

Matrix Product Density Operators: Simulation of Finite-Temperature and Dissipative Systems

FVFrank VerstraeteJJJuan José García‐RipollJIJ. I. Cirac

Max Planck Institute of Quantum Optics

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Abstract

We show how to simulate numerically 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 matrix product states which is variational.

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Topics & keywords

Topics
Keywords
  • Dissipative system
  • Matrix multiplication
  • Density matrix
  • Matrix product state
  • Dissipation
  • Matrix (chemical analysis)
  • Representation (politics)
  • Product (mathematics)
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