====== Quantum information in condensed matter systems ====== This research is led by profs. [[people:sarandy|Marcelo Sarandy]], [[people:tro|Thiago R. Oliveira]] and [[https://sites.google.com/site/mohammadalirajabpour/home|Mohammad Rajabpour]] * [[http://lattes.cnpq.br/0509371840001622|Fernando Iemini]]\\ =====Quantum correlations and applications in many-body systems===== The aim of this research area is the investigation of entanglement, nonlocality, and other quantum correlations (such as quantum discord) in multi-particle quantum systems. Topics of interest include quantum phase transitions in condensed matter systems, characterization of quantum protocols through the collective correlation behavior, thermalization of pure quantum states, and quantum thermodynamics. \\ \\ Selected publications:\\ * F. M. Paula, P. C. Obando, M. S. Sarandy, {{ ::Sarandy-ref-1.jpg?210|}} [[http://journals.aps.org/pra/abstract/10.1103/PhysRevA.93.042337| Non-Markovianity through multipartite correlation measures]], //Phys. Rev. A // **93**, 042337 (2016).\\ * H. C. Braga, C. C. Rulli, T. R. de Oliveira, M. S. Sarandy, [[http://journals.aps.org/pra/abstract/10.1103/PhysRevA.90.042338 |Maxwell's demons in multipartite quantum correlated systems]], // Phys. Rev. A // **90**, 042338 (2014).\\ * F. M. Paula, I. A. Silva, J. D. Montealegre, A. M. Souza, E. R. deAzevedo, R. S. Sarthour, A. Saguia, I. S. Oliveira, D. O. Soares-Pinto, G. Adesso, M. S. Sarandy, [[http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.111.250401| Observation of environment-induced double sudden transitions in geometric quantum correlations]], {{ pt.png?210}} // Phys. Rev. Lett. // **111**, 250401 (2013).\\ * T. R. de Oliveira, A. Saguia, M. S. Sarandy, [[http://iopscience.iop.org/article/10.1209/0295-5075/100/60004/meta| Nonviolation of Bell's Inequality in Translation Invariant Systems]], // EPL // **100**, 60004 (2012).\\ * J. Maziero, H. C. Guzman, L. C. CĂ©leri, M. S. Sarandy, R. M. Serra, [[http://journals.aps.org/pra/abstract/10.1103/PhysRevA.82.012106| Quantum and classical thermal correlations in the XY spin-1/2 chain]], \\ //Phys. Rev. A// **82**, 012106 (2010).\\ * M. S. Sarandy, [[http://journals.aps.org/pra/abstract/10.1103/PhysRevA.80.022108| Classical correlation and quantum discord in critical systems]], //Phys. Rev. A// **80**, 022108 (2009). ===== Quantifying entanglement in quantum information theory ===== {{ tripartite.png?100}} * Quantification of bipartite and multipartite entanglement, as well as monogamy relations. \\ Selected publications:\\ * Thiago R. de Oliveira, [[http://journals.aps.org/pra/abstract/10.1103/PhysRevA.80.022331| Monogamy inequality and residual entanglement of three qubits under decoherence]], //Phys. Rev. A// **80**, 022331 (2009).\\ * C. S. Castro, M. S. Sarandy, [[http://journals.aps.org/pra/abstract/10.1103/PhysRevA.83.042334| Entanglement dynamics via geometric phases in quantum spin chains]], // Phys. Rev. A // **83**, 042334 (2011).\\ * C. C. Rulli, M. S. Sarandy, [[http://journals.aps.org/pra/abstract/10.1103/PhysRevA.81.032334| Entanglement and local extremes at an infinite-order quantum phase transition]], //Phys. Rev. A// **81**, 032334 (2010).\\ ===== Many-particle approximation schemes ===== {{ mps.png?200}} * Matrix Product States and other ansatz with little entanglement. ===== The role of entanglement in the thermalization process ===== Selected publications:\\ Typicality in random matrix product states. Garnerone, de Oliveira, Zanardi; //Phys. Rev. A// **81**, 032336 (2010).\\ Statistical properties of random matrix product states. Garnerone, de Oliveira, Zanardi, Haas; //Phys. Rev. A// **82**, 052312 (2010).