Ground state fidelity of Luttinger liquids: a wavefunctional approach

Fjaerestad, John Ove (2008) Ground state fidelity of Luttinger liquids: a wavefunctional approach. Journal of Statistical Mechanics: Theory and Experiment, 7 P07011-1-P07011-13. doi:10.1088/1742-5468/2008/07/P07011


Author Fjaerestad, John Ove
Title Ground state fidelity of Luttinger liquids: a wavefunctional approach
Journal name Journal of Statistical Mechanics: Theory and Experiment   Check publisher's open access policy
ISSN 1742-5468
Publication date 2008-07-10
Sub-type Article (original research)
DOI 10.1088/1742-5468/2008/07/P07011
Open Access Status
Volume 7
Start page P07011-1
End page P07011-13
Total pages 13
Place of publication United Kingdom
Publisher Institute of Physics Publishing
Language eng
Subject C1
970102 Expanding Knowledge in the Physical Sciences
020699 Quantum Physics not elsewhere classified
Abstract 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 Schrödinger (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.
Keyword bosonization
Luttinger liquids (theory)
quantum phase transitions (theory)
Q-Index Code C1
Q-Index Status Confirmed Code

Document type: Journal Article
Sub-type: Article (original research)
Collections: 2009 Higher Education Research Data Collection
School of Mathematics and Physics
 
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Created: Mon, 23 Mar 2009, 21:31:12 EST by Jo Hughes on behalf of School of Mathematics & Physics