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- Title
Fluctuations and quantum criticality in the two-dimensional Bose Hubbard model.
- Authors
Duchon, Eric; Trivedi, Nandini
- Abstract
At a quantum phase transition, one ground state evolves into a different one by passing through a quantum critical region with enhanced spatial and temporal fluctuations. A method to map the quantum critical region using the single, local quantity R, the ratio of compressibility to local number fluctuations is proposed. R can be calculated from in situ experiments and also enables thermometry and phase diagnosis (for example whether superfluid or Mott insulating). The definition of R can be generalized to inhomogeneous systems and provides a powerful tool for experimentally mapping the finite temperature phase diagram demonstrated here for the two-dimensional Bose Hubbard model.
- Subjects
QUANTUM phase transitions; FLUCTUATIONS (Physics); SUPERFLUIDITY; MOTT effect (Physics); HUBBARD model
- Publication
Annalen der Physik, 2013, Vol 525, Issue 10/11, pL35
- ISSN
0003-3804
- Publication type
Article
- DOI
10.1002/andp.201300109