Journal article
Bipartite fluctuations as a probe of many-body entanglement
HF Song, S Rachel, C Flindt, I Klich, N Laflorencie, K Le Hur
Physical Review B Condensed Matter and Materials Physics | AMER PHYSICAL SOC | Published : 2012
Abstract
We investigate in detail the behavior of the bipartite fluctuations of particle number N and spin Sz in many-body quantum systems, focusing on systems where such U(1) charges are both conserved and fluctuate within subsystems due to exchange of charges between subsystems. We propose that the bipartite fluctuations are an effective tool for studying many-body physics, particularly its entanglement properties, in the same way that noise and full counting statistics have been used in mesoscopic transport and cold-atomic gases. For systems that can be mapped to a problem of noninteracting fermions, we show that the fluctuations and higher-order cumulants fully encode the information needed to de..
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Awarded by National Science Foundation
Funding Acknowledgements
The work by H.F.S. and K.L.H. was supported by NSF Grant No. DMR-0803200, the Yale Center for Quantum Information Physics (Grant No. DMR-0653377). K.L.H. also acknowledges support from DOE Grant No. DE-FG02-08ER46541. H.F.S. acknowledges support from the facilities and staff of the Yale University Faculty of Arts and Sciences High Performance Computing Center. S. R. acknowledges support from the Deutsche Forschungsgemeinschaft under Grant No. RA 1949/1-1 and partially from NSF Grant No. DMR-0803200, and thanks P. Schmitteckert for many discussions and use of his DMRG code. The work by C.F. was supported by the Swiss National Science Foundation. I.K. acknowledges financial support from NSF Grant No. DMR-0956053. I.K. and K.L.H. thank the Aspen Center for Physics for its kind hospitality. N.L. acknowledges M. Mambrini and J. Jacobsen for discussions regarding some subtleties on valence-bond physics.