The walk-sum method for simulating quantum many-body systems

Details The walk-sum method for simulating quantum many-body systems The walk-sum method for simulating quantum many-body systems

2012-04-23

arxiv.org/abs/1204.5087v1

Physics

Quantum Physics

16 pages; submitted to J. Phys. A

Scientific paper

We present the method of walk-sum to study the real-time dynamics of interacting quantum many-body systems. The walk-sum method generates explicit expressions for any desired pieces of an evolution operator U independently of any others. The computational cost for evaluating any such piece at a fixed order grows polynomially with the number of particles. Walk-sum is valid for systems presenting long-range interactions and in any geometry. We illustrate the method by means of two physical systems.

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