# Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons

@article{Haller2010PinningQP, title={Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons}, author={Elmar Haller and Russell A. Hart and Manfred J. Mark and Johann G Danzl and Lukas Reichs{\"o}llner and Mattias Karl Gustavsson and Marcello Dalmonte and G Pupillo and H.-C. N{\"a}gerl}, journal={Nature}, year={2010}, volume={466}, pages={597-600} }

Quantum many-body systems can have phase transitions even at zero temperature; fluctuations arising from Heisenberg’s uncertainty principle, as opposed to thermal effects, drive the system from one phase to another. Typically, during the transition the relative strength of two competing terms in the system’s Hamiltonian changes across a finite critical value. A well-known example is the Mott–Hubbard quantum phase transition from a superfluid to an insulating phase, which has been observed for… Expand

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Abstract
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