Regensburg 2010 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 18: TR: Quantum Coherence and Quantum Information Systems 1
TT 18.5: Vortrag
Dienstag, 23. März 2010, 15:15–15:30, H21
Exact matrix product solutions in the Heisenberg picture of an open quantum spin chain — Stephen Clark1,2, Javier Prior3,4,5, •Michael Hartmann6, Dieter Jaksch2,1, and Martin Plenio3,5,7 — 1Centre for Quantum Technologies, National University of Singapore, Singapore — 2Clarendon Laboratory, University of Oxford, United Kingdom — 3Institute for Mathematical Sciences, Imperial College London, United Kingdom — 4Departamento de Física Aplicada, Universidad Politécnica de Cartagena, Spain — 5QOLS, The Blackett Laboratory, Imperial College London, United Kingdom — 6Technische Universität München, Physik Department, Garching, Germany — 7Institut für Theoretische Physik, Universität Ulm, Germany
The classical simulation of the dynamics of open 1D quantum systems with matrix product algorithms can often be significantly improved by performing time evolution in the Heisenberg picture [1]. For a closed system that is quadratic in fermionic (or bosonic) fields, the time-evolution of a creation operator can be represented exactly with matrices of dimension two for arbitrary long times. Here we show that this exact solution can be significantly generalized to include the case of an open quadratic fermi chain subjected to master equation evolution with Lindblad operators that are linear in the fermionic operators [2].
[1] M.J. Hartmann et al., Phys. Rev. Lett. 102 057202 (2009)
[2] S.R. Clark et al., arXiv:0907.5582