A Monte Carlo Time-Dependent Variational Principle

Research output: Working paper/Preprint › Preprint

Authors

  • F. W. G. Transchel
  • A. Milsted
  • Tobias J. Osborne

Research Organisations

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Details

Original languageEnglish
Publication statusE-pub ahead of print - 20 Nov 2014

Abstract

We generalize the Time-Dependent Variational Principle (TDVP) to dissipative systems using Monte Carlo methods, allowing the application of existing variational classes for pure states, such as Matrix Product States (MPS), to the simulation of Lindblad master equation dynamics. The key step is to use sampling to approximately solve the Fokker-Planck equation derived from the Lindblad generators. An important computational advantage of this method, compared to other variational approaches to mixed state dynamics, is that it is "embarrassingly parallel".

Keywords

    quant-ph, cond-mat.str-el

Cite this

A Monte Carlo Time-Dependent Variational Principle. / Transchel, F. W. G.; Milsted, A.; Osborne, Tobias J.
2014.

Research output: Working paper/Preprint › Preprint

Transchel, F. W. G., Milsted, A., & Osborne, T. J. (2014). A Monte Carlo Time-Dependent Variational Principle. Advance online publication. https://arxiv.org/abs/1411.5546v1
Transchel FWG, Milsted A, Osborne TJ. A Monte Carlo Time-Dependent Variational Principle. 2014 Nov 20. Epub 2014 Nov 20.
Transchel, F. W. G. ; Milsted, A. ; Osborne, Tobias J. / A Monte Carlo Time-Dependent Variational Principle. 2014.
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