Eduardo Martin-Martinez

Finite sizes and smooth cutoffs in superconducting circuits

  1. Emma McKay,
  2. Adrian Lupascu,
  3. and Eduardo Martin-Martinez
We investigate the validity of two common assumptions in the modelling of superconducting circuits: first, that the superconducting qubits are pointlike, and second, that the UV behaviour
of the transmission line is not relevant to the qubit dynamics. We show that in the experimentally accessible ultra-strong coupling regime and for short (but attainable) times, the use of an inaccurate cutoff model (such as sharp, or none at all) could introduce very significant inaccuracies in the model’s predictions.
arxiv pdf

Dynamical Casimir effect in Circuit QED for Nonuniform Trajectories

  1. Paulina Corona-Ugalde,
  2. Eduardo Martin-Martinez,
  3. C.M. Wilson,
  4. and Robert B. Mann
We propose a generalization of the superconducting circuit simulation of the dynamical Casimir effect where we consider relativistically moving boundary conditions following different
trajectories. We study the feasibility of the setup used in the past to simulate the dynamical Casimir effect to reproduce richer relativistic trajectories differing from purely sinusoidal ones. We show how different relativistic oscillatory trajectories of the boundaries of the same period and similar shape produce a rather different spectrum of particles characteristic of their respective motions.
arxiv pdf