# Perturbative calculation of critical exponents for the Bose–Hubbard model

@article{Hinrichs2013PerturbativeCO, title={Perturbative calculation of critical exponents for the Bose–Hubbard model}, author={Dennis Hinrichs and Axel Pelster and Martin Holthaus}, journal={Applied Physics B}, year={2013}, volume={113}, pages={57-67} }

We develop a strategy for calculating critical exponents for the Mott insulator-to-superfluid transition shown by the Bose–Hubbard model. Our approach is based on the field-theoretic concept of the effective potential, which provides a natural extension of the Landau theory of phase transitions to quantum critical phenomena. The coefficients of the Landau expansion of that effective potential are obtained by high-order perturbation theory. We counteract the divergency of the weak-coupling…

## 8 Citations

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B 98 , 245107 ( 2018 ) High-order symbolic strong-coupling expansion for the Bose-Hubbard model

- Physics, Education
- 2018

Tao Wang ( ),1,2 Xue-Feng Zhang ( ),3,2,4,* Chun-Feng Hou,5 Sebastian Eggert,2 and Axel Pelster2 1School of Science, Wuhan Institute of Technology, 438000 Wuhan, China 2Physics Department and…

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- PhysicsPhysical Review A
- 2019

The objective of this paper is the theoretical description of the Mott-insulator to superfluid quantum phase transition of a Bose gas in an optical lattice. In former works the Rayleigh-Schr\"odinger…

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