Paula I. Villar

Main Teaching Assistant

Investigadora Adjunta CONICET

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Research area: Theory And Quantum Information

  • Decoherence
  • Casimir Effect
  • Geometric Phases

Interests

My Area of research is based on the study of observable consequences of quantum vacuum fluctuations and open quantum systems: dissipation, decoherence and Casimir effect. I am also interested in the corrections to the geometric phases of quantum systems induced by external fluctuations.

Frictional and normal Casimir forces are not the only effects of vacuum quantum fluctuations. For any quantum system, the influence of the environment plays a role at a fundamental level. I study the observable consequences of quantum vacuum fluctuations in different scenarios. On one side, the dynamical Casimir effect and the creation of particles in superconducting devices. The calculations involved in determining the physical outcome of particle creation processes, are often hard or impossible to complete. Even though one can rely on simplifying approximations, the set of problems for which solutions can be found analytically is considerably limited. In order to get insight into the whole nonlinear problem with intermode coupling, numerical schemes are much required. I aim to develop numerical approach to simulate DCE and compute the number of particles created by taking into account the intermode coupling and holding all degrees of freedom of the problem. On the other, I study the open geometric phase (GP) as a tool to fruitful avenue of investigation to infer features of the quantum system due to theirs topological properties and close connection with gauge theories of quantum fields. In the case of an open quantum system, The GP obtained will undoubtedly be different to the unitary one since the evolution is now plagued by non-unitary effects such as decoherence and dissipation. We can study the corrections obtained in the GP and track traces of different features of the quantum system, in particular effects such that quantum friction and decoherence.

Selected publications

- "Dynamical Casimir effect in a double tunable superconducting circuit", Phys. Rev. A 98, 022512 (2018).
- "Dynamical Casimir effect in superconducting circuits: a numerical approach",Phys. Rev. A 93, 032501 (2016).
- "Numerical approach to simulating interference phenomena in a two-oscillating mirrors cavity",Phys. Rev. A 95, 032115 (2017).

- "Two-qudit topological phase evolution under dephasing", Annals of Physics 390, 159-179 (2018).
- "Corrections to the Berry phase in a solid-state qubit due to low-frequency noise", Phys. Rev. A 89, 012110 (2014)
- "Geometric phase with nonunitary evolution in presence of a quantum critical bath", Phys. Rev. Lett. 105, 240406 (2010).
- "Geometric phases in open systems: an exact model to study how they are corrected by decoherence", Phys. Rev. A 74, 042311 (2006).

DF es docencia, investigación y popularización de la ciencia.