Fabio Franchini

Marie Curie Fellow - SISSA/Massachusetts Institute of Technology

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Bethe Ansatz Class

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Go to: Google Scholar Page

 

Preprints

·     F. Franchini, M. Kulkarni, & A. Trombettoni; arXiv:1603.03051,
"Hydrodynamics of local excitations after an interaction quench in 1D cold atomic gases".

·     F. Franchini; arXiv:1503.03341,
“Toward an invariant matrix model for the Anderson Transition".

·     F. Franchini; arXiv:1412.6523,
"On the Spontaneous Breaking of U(N) symmetry in invariant Matrix Models".

 

Published

·     F. Franchini, A. Gromov, M. Kulkarni, & A. Trombettoni; J. Phys. A: Math. Theor. 48 (2015) 28FT01,
"
Universal dynamics of a soliton after an interaction quench
(also available on 
arXiv:1408.3618).

·     F. Franchini, J. Cui, L. Amico, H. Fang, M. Gu, V. Korepin, L.C. Kwek, & V. Vedral; Phys. Rev. X 4 (2014) 041028 ,
"Local Convertibility and the Quantum Simulation of Edge States in Many-Body Systems"
(also available on 
arXiv:1306.6685).

·     E. Ercolessi, S. Evangelisti, F. Franchini, and F. Ravanini; Phys. Rev. B 88 (2013) 104418 ,
"Modular invariance in the gapped XYZ spin chain"
(also available on 
arXiv:1301.6758).

·      A. De Luca, and F. Franchini; Phys. Rev. B 87 (2013) 045118 ,
"Approaching the RSOS critical points through entanglement: one model for many universalities"
(also available on 
arXiv:1205.6426).

·     E. Ercolessi, S. Evangelisti, F. Franchini, and F. Ravanini; Phys. Rev. B 85 (2012) 115428 ,
"Correlation Lentgh and Unusual Corrections to Entanglement Entropy"
(also available on 
arXiv:1201.6367).

·     E. Ercolessi, S. Evangelisti, F. Franchini, and F. Ravanini; Phys. Rev. B 83 (2011) 12402 ,
"Essential singularity in the Renyi entanglement entropy of the one-dimensional XYZ spin-1/2 chain"
(also available on 
arXiv:1008.3892 , Picture Selected for PRB Kaleidoscope).

·     F. Franchini, A. R. Its, V. E. Korepin, and L. A. Takhtajan; Quantum Inf. Proc. 10 (2011) 325 ,
"Entanglement Spectrum for the XY Model in One Dimension"
(also available on
arXiv:1002.2931)

·     F. Franchini, and M. Kulkarni; Nucl. Phys. B 825 (2010) 320 ,
"Emptiness and Depletion Formation Probability in spin models with inverse square interaction"
(also available on
arXiv:0908.2652).

·     F. Franchini, and V.E. Kravtsov; Phys. Rev. Lett. 103 (2009) 166401 (Editors' Suggestion),
"Horizon in Random Matrix Theory, Hawking Radiation and Flow of Cold Atoms "
(also available on
arXiv:0905.3533).

·     M. Kulkarni, F. Franchini and A. G. Abanov; Phys. Rev. B 80 (2009) 165105 ,
"Nonlinear dynamics of spin and charge in spin-Calogero model"
(also available on
arXiv:0904.3762).

·     F. Franchini and A. S. Goldhaber; Phys. Scr. 78 (2008) 065002 ,
"Aharonov-Bohm e ffect with many vortices"
(also available on
arXiv:0805.1910).

·     F. Franchini, A. R. Its, and V. E. Korepin; J. Phys A: Math. Theor. 41 (2008) 25302 ,
"Renyi Entropy of the XY Spin Chain"
(also available on
arXiv:0707.2534).

·     F. Franchini, A. R. Its, B.-Q. Jin, and V. E. Korepin; J. Phys. A: Math. Theor. 40 (2007) 8467-8478 ,
"Ellipses of Constant Entropy in the XY Spin Chain"
(also available on
arXiv:quant-ph/0609098).

·     F. Franchini, and A. G. Abanov; J. Phys. A 38 (2005) 5069-5096 ,
"Asymptotics of Toeplitz Determinants and the Emptiness Formation Probability for the XY Spin Chain"
(also available on
arXiv:cond-mat/0502015).

·     A. G. Abanov, and F. Franchini; Phys. Lett. A 316 (2003) 342-349 ,
"Emptiness Formation Probability for the Anisotropic XY Spin Chain in a Magnetic Field"
(also available on
arXiv:cond-mat/0307001).

 

Proceedings

·     F. Franchini, A. R. Its, B.-Q. Jin, and V. E. Korepin; Proceedings of the Third Feynman Workshop, 2006
"Analysis of entropy of XY Spin Chain"
(also available on
arXiv:quant-ph/0606240).

 

Ph.D. Thesis

·     F. Franchini; Ph.D. Defense Thesis (Stony Brook University),
"On Hydrodynamic Correlations in Low-Dimensional Interacting Systems"
(available on
arXiv:0801.2734).