Fabio Franchini

Permanent Researcher/Associate Professor

 

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Curriculum Vitae

Publications

Main Results

 

 

 

 

Dissemination

In the News

Selected Presentations

Bethe Ansatz Class

 

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Books

     F. Franchini,
"An Introduction to Integrable Techniques for One-Dimensional Quantum Systems
Springer, Lecture Notes in Physics 940 (2017) (also available on 
arXiv:1609.02100).

 

Preprints

     V. Marić, F. Franchini, D. Kuić, & S. M. Giampaolo; arXiv:2006.09397,
"The Frustration of being Odd: Resilience of the Topological Phases".

     V. Marić & F. Franchini; arXiv:2006.01922,
"Asymptotic behavior of Toeplitz determinants with delta function singularities".

     V. Marić, S. M. Giampaolo, & F. Franchini; arXiv:2002.07197,
The Frustration of being Odd: Can Boundary Conditions induce a Quantum Phase Transition?".

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

 

Published

     V. Marić, S. M. Giampaolo, D. Kuić, & F. Franchini; New Journal of Physics https://doi.org/10.1088/1367-2630/aba064 (2020),
The Frustration of being Odd: How Boundary Conditions can destroy Local Order
(also available on 
arXiv:1908.10876).

     S. M. Giampaolo, F. B. Ramos, & F. Franchini; J. Phys. Commun. 3, 081001 (2019),
"The Frustration of being Odd: Universal Area Law violation in local systems
(also available on 
arXiv:1807.07055).

     F. Benatti, R. Floreanini, F. Franchini, & U. Marzolino; Open Syst. Inf. Dyn. 24, 1740004 (2017),
"Remarks on entanglement and identical particles
(also available on 
arXiv:1709.05520).

     F. Franchini, M. Kulkarni, & A. Trombettoni; New J. Phys. 18, 115003 (2016),
"Hydrodynamics of local excitations after an interaction quench in 1D cold atomic gases
(also available on 
arXiv:1603.03051).

     F. Franchini, A. Gromov, M. Kulkarni, & A. Trombettoni; J. Phys. A: Math. Theor. 48, 28FT01 (2015),
"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, 041028 (2014),
"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, & F. Ravanini; Phys. Rev. B 88, 104418 (2013),
"Modular invariance in the gapped XYZ spin chain"
(also available on 
arXiv:1301.6758).

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

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

     E. Ercolessi, S. Evangelisti, F. Franchini, & F. Ravanini; Phys. Rev. B 83, 12402 (2011),
"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, & L. A. Takhtajan; Quantum Inf. Proc. 10, 325 (2011),
"Entanglement Spectrum for the XY Model in One Dimension"
(also available on
arXiv:1002.2931)

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

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

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

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

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

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

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

     A. G. Abanov & F. Franchini; Phys. Lett. A 316, 342 (2003),
"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).