期刊
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
卷 -, 期 -, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1742-5468/2008/07/P07011
关键词
bosonization; Luttinger liquids (theory); quantum phase transitions (theory)
We use a wavefunctional approach to calculate the fidelity of ground states in the Luttinger liquid universality class of one-dimensional gapless quantum many-body systems. The ground state wavefunctionals are discussed using both the Schrodinger (functional differential equation) formulation and a path integral formulation. The fidelity between Luttinger liquids with Luttinger parameters K and K' is found to decay exponentially with system size, and to obey the symmetry F( K, K') = F(1/K, 1/K') as a consequence of a duality in the bosonization description of Luttinger liquids.
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