Publications

 Unpublished: 

• Driving superconducting qubits into chaos. Jorge Chávez-Carlos, Rodrigo G. Cortiñas, Miguel A. Prado Reynoso, Ignacio García-Mata, Victor S. Batista, Francisco Pérez-Bernal, Diego A. Wisniacki, Lea F. Santos.  arXiv:2310.17698

 Published:

• 48. Effective versus Floquet theory for the Kerr parametric oscillator. Ignacio García-Mata, Rodrigo G. Cortiñas, Xu Xiao, Jorge Chávez-Carlos, Victor S. Batista, Lea F. Santos, Diego A. Wisniacki.   Quantum 8, 1298 (2024).  arXiv:2309.12516 

• 47. Classical approach to equilibrium of out-of-time ordered correlators in mixed systems. Tomás Notenson, Ignacio García-Mata, Augusto J. Roncaglia, and Diego A. Wisniacki. Phys. Rev. E 107, 064207 (2023).  arXiv:2303.08047

• 46. Out-of-time-order correlators and quantum chaos. Ignacio García-Mata, Rodolfo A. Jalabert, Diego A. Wisniacki.  Scholarpedia, 18(4):55237 (2023). arXiv:2209.07965

• 45. Critical properties of the Anderson transition in random graphs: two-parameter scaling theory, Kosterlitz-Thouless type flow and many-body localization. Ignacio García-Mata, John Martin, Olivier Giraud, Bertrand Georgeot, Rémy Dubertrand, Gabriel Lemarié. Phys. Rev. B 106, 214202, (2022) . arXiv:2209.04337 , hal-03775641

• 44.  Impact of chaos on precursors of quantum criticality.  Ignacio García-Mata, Diego A. Wisniacki, Eduardo G. Vergini Phys. Rev. E 104, L062202 (2021).  arXiv:2112.06648 .

• 43. Symmetry Violation of Quantum Multifractality: Gaussian fluctuations versus Algebraic Localization. Agustín M. Bilen, Bertrand Georgeot, Olivier Giraud, Gabriel Lemarié, and Ignacio García-Mata. PHYSICAL REVIEW RESEARCH 3, L022023 (2021)   arXiv:2103.03068 

• 42. Signatures of quantum chaos transition in short spin chains. Emiliano M. Fortes, Ignacio García-Mata, Rodolfo A. Jalabert, Diego A. Wisniacki. EPL, 130 (2020) 60001. arXiv:2004.14440 

• 41. Two localization lengths in the Anderson transition on random graphs I. García-Mata, J. Martin, R. Dubertrand, O. Giraud, B. Georgeot, and G. Lemarié. Phys. Rev. R 2, 012020 (R) (2020) . arXiv:1904.08869

• 40. Gauging classical and quantum integrability through out-of-time ordered correlators. Emiliano M. Fortes, Ignacio García-Mata, Rodolfo A. Jalabert, Diego A. Wisniacki. Phys. Rev. E 100, 042201. arXiv:1906.07706 

• 39. Multifractality of open quantum systems. Agustín M. Bilen, Ignacio García-Mata, Bertrand Georgeot, and Olivier Giraud.  Phys. Rev. E 100, 032223 (2019)  arXiv:1906.05350 

• 38. Semiclassical theory of out-of-time-order correlators for low-dimensional classically chaotic systems. Rodolfo A. Jalabert, Ignacio García-Mata, Diego A. Wisniacki. Phys. Rev. E 98, 062218 (2018). arXiv:1808.04383.

• 37. Chaos signatures in the short and long time behavior of the out-of-time ordered correlator.  I. García-Mata,  M. Saraceno, R. A. Jalabert, A. J. Roncaglia, D. A. Wisniacki. Phys. Rev. Lett. 121, 210601 (2018) .  arXiv:1806.04281. 

• 36. Semiclassical approach to the work distribution.  I. García-Mata, A. J. Roncaglia, D. A. Wisniacki. Europhys. Lett. 120  (2017) 30002.  arXiv:1709.05115.

• 35. Quantum to classical transition in the work distribution for chaotic systems. I. García-Mata, A. J. Roncaglia, D. A. Wisniacki. Phys. Rev. E 95, 050102(R)  (2017). arXiv:1610.08874. 

• 34. Scaling theory of the Anderson transition in random graphs: ergodicity and universality. I García-Mata, O Giraud, B Georgeot, J Martin, R Dubertrand and G Lemarié. arXiv:1609.05857, hal-01366432 -- Phys. Rev. Lett. 118, 166801 (2017)

• 33. Average diagonal entropy in non-equilibrium isolated quantum systems. Olivier Giraud and I. García-Mata.  arXiv:1603.01624. Phys. Rev. E 94, 012122 (2016)

• 32. Lyapunov decay in quantum irreversibility. I. García-Mata, A.J. Roncaglia, and D. A. Wisniacki. Phil. Trans. R. Soc. A 374 20150157 (2016). arXiv:1512.04445.

• 31. Measuring and using non-Markovianity. Carlos Pineda, Thomas Gorin, David Davalos, Diego A. Wisniacki, Ignacio Garcia-Mata. Phys. Rev. A 93, 022117 (Published 24 February 2016)  arXiv:1505.03503. 

• 30. Multifractality of quantum wave functions in the presence of perturbations. R. Dubertrand, I. García-Mata, B. Georgeot, O. Giraud, G. Lemarié, and J. Martin. Phys. Rev. E 92, 032914 (2015). arXiv:1506.05720

• 29. Comment on "Exploring chaos in the Dicke model using ground-state fidelity and the Loschmidt echo"  

• I. García-Mata, A. J. Roncaglia, D. A. Wisniacki. Phys. Rev. E. 91, 036901 (2015), arXiv:1410.6848. 

• 28. Relaxation of isolated quantum systems beyond chaos. I. García-Mata, A.J. Roncaglia, and D. A. Wisniacki. Phys. Rev. E 91, 010902(R) (2015). arXiv:1408.2838. 

• 27. Two scenarios for quantum multifractality breakdown. R. Dubertrand. I. García-Mata, B. Georgeot, O. Giraud, G. Lemarié, J. Martin.  Phys. Rev. Lett. 112, 234101 (2014), arXiv:1402.1658. 

• 26. Quantum non-Markovian behavior at the chaos border. I. Garcia-Mata, Carlos Pineda, Diego A. Wisniacki. J. Phys A: Math. Theo. 47, 115301 (2014). arXiv:1306.5980 

• 25. Multifractality of quantum wave packets. I. Garcia-Mata, J. Martin, O. Giraud, B. Georgeot.  Phys. Rev. E 86, 056215 (2012). arXiv:1207.1675. 

• 24. Non-Markovian Quantum Dynamics and Classical Chaos. I. García-Mata, C. Pineda and D. A. Wisniacki. Phys. Rev. A 86, 022114, arXiv:1204.3614. 

• 23. Semiclassical approach to fidelity amplitude. I. García-Mata, R. O. Vallejos and D. A. Wisniacki, New J. Phys 13, 103040 (2011)  arXiv:1106.4206. 

• 22. Non-Markovianity for small and large complex quantum systems. M. Žnidarič, C. Pineda and I. García-Mata. Phys. Rev. Lett. 107, 080404 (2011).  arXiv:1104.5263. 

•  21. Loschmidt echo in quantum maps: the elusive nature of the Lyapunov regime. I. García-Mata, D. A. Wisniacki, J. Phys. A: Math. Theor. 44 (2011) 315101. arXiv:1009.0725. 

•  20. Irreversibility in quantum maps with decoherence. I. Garcia-Mata, B. Casabone, and Diego A. Wisniacki.Phil. Trans. R. Soc. A 369, 278-290 (2011). arXiv:1003.5606. 

•  19. Multifractal wave functions of simple quantum maps. J. Martin, I. García-Mata, O. Giraud, and B. Georgeot.Phys. Rev. E 82, 046206 (2010).  arxiv:1007.1404. 

• 18. Weyl law for fat fractals. M.E. Spina, I. García-Mata and M. Saraceno, J. Phys. A: Math. Theor. 43 (2010) 392003. arxiv:1007.2819. 

• 17. Discrepancies between decoherence and the Loschmidt echo. B. Casabone, I. Garcia-Mata, and D. A. Wisniacki. Europhys. Lett. 89 (2010) 50009. arXiv:0908.2134 

• 16. Nonlinear delocalization on disordered Stark ladder. I. García-Mata and D. L. Shepelyansky. Eur. Phys. J. B 71, 121-124 (2009) .  arXiv:0903.2103. 

• 15. Quantum computation of multifractal exponents through the quantum wavelet transform.    I. Garcia-Mata, O. Giraud, B. Georgeot, Phys. Rev. A 79, 052321 (2009).  arXiv: 0901.0108.   

•  14. Delocalization induced by nonlinearity in systems with disorder. I. García-Mata and D. L. Shepelyansky,Phys. Rev. E  79, 026205 (2009). arXiv:0805.0539. 

•  13. Shor’s factorization algorithm with a single control qubit and imperfections. Ignacio García-Mata, Klaus M. Frahm, Dima L. Shepelyansky, Phys. Rev. A 78, 062323 (2008). arxiv: 0809.4416

• 12. Quantum phase estimation algorithm in presence of static imperfections.

• I. García-Mata and D. L. Shepelyansky, Eur. J. Phys. D 47, 151-156 (2008) (Highlight paper, free access) . arXiv: 0711.1756.

• 11. Entanglement-screening by nonlinear resonances.

• I. García-Mata, A. R. R. Carvalho, F. Mintert, A. Buchleitner. Phys. Rev. Lett. 98, 120504 (2007). arXiv: quant-ph/0702217.

• 10. Effects of imperfections for Shor’s factorization algorithm. I. García-Mata, K. M. Frahm, and D. L. Shepelyansky, Phys Rev. A 75, 052311 (2007). eprint: arXiv:quant-ph/0701169. See also the ERRATUM

• 9. Frenkel-Kontorova model with cold trapped ions.  I. García-Mata, O. V. Zhirov, and D. L. Shepelyansky, Eur. Phys. J. D 41, 325 (2007). eprint: cond-mat/0606135.

• 8. Phase space contraction and Quantum operations. I. García-Mata, M. Saraceno, M. E. Spina, and G. Carlo, Phys. Rev. A. 72, 062315 (2005). eprint: quant-ph/0508190.

• 7. Spectral Approach to Chaos and Quantum-Classical Correspondence in Quantum Maps. I. García-Mata and M. Saraceno, Mod. Phys. Lett. B 19, 341 (2005, World Scientific), eprint:quant-ph/0505043.

•   6. Noise Models for Superoperators in the Chord Representation. M. L. Aolita, I. García-Mata and M. Saraceno, Phys. Rev. A 70, 062301 (2004). e-print: quant-ph/0406236. Also appearing in the Virtual Journal of Quantum Information. (Dec. 2004)

•  5. Spectral Properties and Classical Decays in Quantum Open Systems.  I. García-Mata and M. Saraceno, Phys. Rev. E. 69, 056211 (2004) eprint: nlin.CD/0312062.

• 4. Classical decays in decoherent quantum maps.  I. García-Mata, M. Saraceno, and M. E. Spina, Phys. Rev. Lett. 91, 064101 (Aug. 2003). eprint:nlin.CD/0301025.

• 3. The photon-box Bohr-Einstein debate demythologized. Reply to comment.  A. C. de la Torre, A. Daleo and I. García-Mata, Eur. J. Phys, 23 (2002) L15-L16.

• 2. Random walk with exponentially varying step.  A. C. de la Torre, A. Maltz, H. O. Martin, P. Catuogno and I. García-Mata, Phys. Rev. E 62, 7748 (2000).

•  1. The Photon-Box Bohr-Einstein Debate Demythologized. A. C. de la Torre, A. Daleo and I. García-Mata, Eur. J. Phys. 21, 253-260 (May 2000). e-print: quant-ph/9910040 .