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Klaus Mølmer

Controllability in tunable chains of coupled harmonic oscillators

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  • Lukas Filip Buchmann
  • ,
  • Klaus Mølmer
  • David Petrosyan, Institute of Electronic Structure and Laser, FORTH, GR-71110 Heraklion, Crete, Greece, Grækenland
We prove that temporal control of the strengths of springs connecting N harmonic oscillators in a chain provides complete access to all Gaussian states of N−1 collective modes. The proof relies on the construction of a suitable basis of cradle modes for the system. An iterative algorithm to reach any desired Gaussian state requires at most 3N(N−1)/2 operations. We illustrate this capability by engineering squeezed pseudo-phonon states—highly nonlocal, strongly correlated states that may result from various nonlinear processes. Tunable chains of coupled harmonic oscillators can be implemented by a number of current state-of-the-art experimental platforms, including cold atoms in lattice potentials, arrays of mechanical micro-oscillators, and coupled optical waveguides.
TidsskriftPhysical Review A
Antal sider5
StatusUdgivet - 17 apr. 2018

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