Bulletin of the American Physical Society
APS March Meeting 2012
Volume 57, Number 1
Monday–Friday, February 27–March 2 2012; Boston, Massachusetts
Session X3: Invited Session: Full Counting Statistics, Fluctuation Theorems, and Many-Body Entanglement
2:30 PM–5:30 PM,
Thursday, March 1, 2012
Sponsoring Unit: DCMP
Chair: Andrew Jordan, University of Rochester
Abstract ID: BAPS.2012.MAR.X3.1
Abstract: X3.00001 : Towards Measuring the Many-Body Entanglement from Fluctuations*
2:30 PM–3:06 PM
Karyn Le Hur
(CNRS and Center For Theoretical Physics, Ecole Polytechnique, 91128 Palaiseau France; Yale University, Physics Department, New Haven CT 06520 USA)
The degree of entanglement in a many-body quantum system is often characterized using the bipartite entanglement entropy. We propose that bipartite fluctuations are also 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 atoms. We apply some concepts underlying the field of full counting statistics to the study of the ground states of many-body Hamiltonians, with the boundary introduced by the bipartition playing the role of the scattering or interacting region. For systems that are equivalent to non-interacting fermions, we show that fluctuations and higher-order cumulants fully encode the information needed to determine the entanglement entropy [1-3]. In the context of quantum point contacts, measurement of the second charge cumulant showing a logarithmic dependence on time  then would constitute a strong indication of many-body entanglement . Here, the measurability of the entanglement entropy, while suggestive, is particular to the nature of non-interacting particles [4,5]. \\[4pt]  H. Francis Song, S. Rachel, C. Flindt, I. Klich, N. Laflorencie and K. Le Hur, arXiv:1109.1001. 30 pages + 25 pages supplementary information.\\[0pt]  I. Klich and L. Levitov, Phys. Rev. Lett. 102, 100502 (2009).\\[0pt]  H. F. Song, C. Flindt, S. Rachel, I. Klich and K. Le Hur, Phys. Rev. B 83, 161408R (2011).\\[0pt]  B. Hsu, E. Grosfeld and E. Fradkin, Phys. Rev. B 80, 235412 (2009).\\[0pt]  H. Francis Song, Stephan Rachel and Karyn Le Hur, Phys. Rev. B 82, 012405 (2010).
*This work is done in collaboration with H. Francis Song, Stephan Rachel, Christian Flindt, Israel Klich and Nicolas Laflorencie. We acknowledge the financial supports from NSF and DOE.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2012.MAR.X3.1
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