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Quantum Simulation

Fast forward to the classical adiabatic invariant

arXiv
Authors: Christopher Jarzynski, Sebastian Deffner, Ayoti Patra, Yiğit Subaşı

Year

2016

Paper ID

42325

Status

Preprint

Abstract Read

~2 min

Abstract Words

116

Citations

N/A

Abstract

We show how the classical action, an adiabatic invariant, can be preserved under non-adiabatic conditions. Specifically, for a time-dependent Hamiltonian H = p2/2m + U(q,t) in one degree of freedom, and for an arbitrary choice of action I0, we construct a "fast-forward" potential energy function Vrm FF(q,t) that, when added to H, guides all trajectories with initial action I0 to end with the same value of action. We use this result to construct a local dynamical invariant J(q,p,t) whose value remains constant along these trajectories. We illustrate our results with numerical simulations. Finally, we sketch how our classical results may be used to design approximate quantum shortcuts to adiabaticity.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2016 reference point for readers tracking recent quantum research.
  • We show how the classical action, an adiabatic invariant, can be preserved under non-adiabatic conditions.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1611.06437 [2] arXiv https://arxiv.org/abs/1611.06437 [3] Publisher https://arxiv.org/abs/1611.06437

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