7 papers
Accurate solution of the Index Tracking problem with a hybrid simulated annealing algorithm
Álvaro Rubio-García, Samuel Fernández-Lorenzo, Juan José García-Ripoll +1
An actively managed portfolio almost never beats the market in the long term. Thus, many investors often resort to passively managed portfolios whose aim is to follow a certain fin…
Exceptional Spectral Phase in a Dissipative Collective Spin Model
Álvaro Rubio-García, Ángel L. Corps, Armando Relaño +4
We study a model of a quantum collective spin weakly coupled to a spin-polarized Markovian environment and find that the spectrum is divided into two regions that we name normal an…
From integrability to chaos in quantum Liouvillians
Álvaro Rubio-García, Rafael A. Molina, Jorge Dukelsky
The dynamics of open quantum systems can be described by a Liouvillian, which in the Markovian approximation fulfills the Lindblad master equation. We present a family of integrabl…
Trigonometric SU(N) Richardson-Gaudin models and dissipative multi-level atomic systems
Sergio Lerma-Hernández, Alvaro Rubio-García, Jorge Dukelsky
We derive the exact solution of a system of N-level atoms in contact with a Markovian reservoir. The resulting Liouvillian expressed in a vectorized basis is mapped to an SU(N) tri…
Topological bulk states and their currents
Chris N. Self, Alvaro Rubio-García, Juan Jose García-Ripoll +1
We provide evidence that, alongside topologically protected edge states, two-dimensional Chern insulators also support localised bulk states deep in their valance and conduction ba…
Benchmarking the variational reduced density matrix theory in the doubly-occupied configuration interaction space with integrable pairing models
A. Rubio-Garcia, D. R. Alcoba, P. Capuzzi +1
The variational reduced density matrix theory has been recently applied with great success to models within the truncated doubly-occupied configuration interaction space, which cor…