Controllability in tunable chains of coupled harmonic oscillators

L. F. Buchmann, K. Mølmer, and D. Petrosyan
Phys. Rev. A 97, 042111 – Published 17 April 2018

Abstract

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 N1 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(N1)/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.

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  • Received 9 October 2017

DOI:https://doi.org/10.1103/PhysRevA.97.042111

©2018 American Physical Society

Physics Subject Headings (PhySH)

General Physics

Authors & Affiliations

L. F. Buchmann1,2, K. Mølmer1, and D. Petrosyan2

  • 1Department of Physics and Astronomy, Aarhus University, Ny Munkegade 120, DK 8000 Aarhus C, Denmark
  • 2Institute of Electronic Structure and Laser, FORTH, GR-71110 Heraklion, Crete, Greece

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Issue

Vol. 97, Iss. 4 — April 2018

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