Distinguishing phases with ansatz wave functions. Bauer, B., Troyer, M., Scarola, V., W., & Whaley, K., B. Physical Review B, 81(8):85118, 2010.
Distinguishing phases with ansatz wave functions [link]Website  doi  abstract   bibtex   
We propose an indistinguishability measure for assessment of ansatz wave functions with numerically determined wave functions. The measure efficiently compares all correlation functions of two states and can therefore be used to distinguish phases by defining correlator classes for ansatz wave functions. It also allows identification of quantum critical points. We demonstrate the approach for the transverse Ising and bilinear-biquadratic Heisenberg models, using the matrix-product state formalism with the time-evolving block decimation algorithm.
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 title = {Distinguishing phases with ansatz wave functions},
 type = {article},
 year = {2010},
 pages = {85118},
 volume = {81},
 websites = {http://dx.doi.org/10.1103/PhysRevB.81.085118},
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 created = {2017-12-12T20:22:22.523Z},
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 abstract = {We propose an indistinguishability measure for assessment of ansatz wave functions with numerically determined wave functions. The measure efficiently compares all correlation functions of two states and can therefore be used to distinguish phases by defining correlator classes for ansatz wave functions. It also allows identification of quantum critical points. We demonstrate the approach for the transverse Ising and bilinear-biquadratic Heisenberg models, using the matrix-product state formalism with the time-evolving block decimation algorithm.},
 bibtype = {article},
 author = {Bauer, B. and Troyer, M. and Scarola, V. W. and Whaley, K. B.},
 doi = {10.1103/PhysRevB.81.085118},
 journal = {Physical Review B},
 number = {8}
}

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