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Controllability in tunable chains of coupled harmonic oscillators
- Source :
- Phys. Rev. A 97, 042111 (2018)
- Publication Year :
- 2017
-
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 $N-1$ 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 non-local, 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.<br />Comment: 5 pages, 3 figures
- Subjects :
- Quantum Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. A 97, 042111 (2018)
- Publication Type :
- Report
- Accession number :
- edsarx.1710.03145
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevA.97.042111