• Dissipation and Decoherence in Quantum Mechanics. The main features of quantum systems, such as entanglement, superposition and interference, may disappear when they are disturbed; there is a loss of coherence or decoherence. These effects may have important practical implications, as in building a quantum computer. On the other hand, decoherence may also be important in understanding fundamental aspects of quantum mechanics as the transitions from quantum to classical, and even in understanding the collapse of the wave function.

• Quantum Information applied to Condensed Matter and vice-versa.
  • Entanglement and Quantum Phase Transitions. Phase transitions, as the appearance of a magnetization when we coll down a magnet are related to the appearance of an order in the system: the particles beat the thermal fluctuations and become highly correlated. In cases where the transition occurs at zero temperature (the quantum ones), both the fluctuations and the correlations are of quantum origin. On the other hand, entanglement is a kind of quantum correlation and therefore we expect it to be important in quantum phase transitions.
  • Emaranhamento Multipartite e relações de Monogamia. The quantification of entanglement between two parts (bipartite) still defies a general solution. However the situation involving more than two parties is even worse imposing not only technical difficulties as conceptual ones. An interesting property which has been recently explored is monogamy of entanglement: the fact that if A is maximally entangled with B, so neither can be entangled with a third party C.
  • Approximation of states of many particles (Matrix Product States, etc…). The description of systems of many particles in quantum mechanics is a very complex problem due to the fact that the size of the Hilbert space grows exponentially with the number of particles. That is, the Hilbert space is too big! On the other hand, interactions that occur in nature are local and ground states that arise from these should not be uniformly distributed in Hilbert space. It would therefore be desirable to have a description of states that are generated from a local Hamiltonian. Recently the community of Quantum Information rediscovered a family of states with these characteristics. This rediscovery has drawn attention not only of Quantum Inf. community, but also condensed matter physicists.
  • I am also interested in the problem of thermalization (or equilibration) of quantum states. This problem has recently been rediscovered by the quantum information community. See my recent publication and references: http://arxiv.org/abs/0908.3877

• Licenciatura em Física, Universidade Estadual de Campinas-Unicamp, 01/1998 - 12/2001

• Bacharelado em Física, Universidade Estadual de Campinas-Unicamp, 01/1998 - 06/2002

• Mestrado em Física, Universidade Estadual de Campinas-Unicamp, 07/2002 - 07/2004

• Doutorado em Física, Universidade Estadual de Campinas-Unicamp, 07/2004 - 07/2008

• Pós-Doutorado
  • Universidade Estadual de Campinas-Unicamp, 08/2008 - 12/2008
  • University of Southern California, 01/2009 - 02/2010

Here you find a list of my publications Publicações

Física I (Mecânica)

Notas

Endereço: Instituto de Física - UFF
Campus da Praia Vermelha
Av. Gal. Milton Tavares de Souza s/nº.
Gragoatá, Niterói, 24210-340, RJ.

e-mail: tro [at] if.uff.br

Sala: A5-06, andar P1 do prédio da Física
Tel: (21) 2629-5850