Shortcut to adiabaticity in internal bosonic Josephson junctions

2013/09/10 by A. Yuste, B. Juliá-Díaz, Bruno Juliá-Díaz +4
Computer Science · Mathematics · Physics and Astronomy · #Adiabatic process #Cold Atom Physics and Bose-Einstein Condensates #Coupling (piping) #Hamiltonian (control theory) #Josephson effect #Josephson energy #Limit (mathematics) #Mathematical analysis #Mathematics #Physics #Physics of Superconductivity and Magnetism #Pi Josephson junction #Quantum Information and Cryptography #Quantum mechanics #Superconductivity #cond-mat.quant-gas #quant-ph

paper · pdf · doi:10.1103/physreva.88.043647

published as Phys. Rev. A 88, 043647 (2013)

arxiv created 2013/09/10 · openalex publication_date 2013/10/31 · arxiv updated 2013/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We extend a recent method to shortcut the adiabatic following to internal bosonic Josephson junctions in which the control parameter is the linear coupling between the modes. The approach is based on the mapping between the two-site Bose-Hubbard Hamiltonian and a one-dimensional effective Schr"odinger-like equation, valid in the large-N (number of particles) limit. Our method can be readily implemented in current internal bosonic Josephson junctions and it substantially improves the production of spin squeezing with respect to the usually employed linear rampings.

Citations

• Validity of many-body approximation methods for a solvable model
• Unexpected diversity of small eukaryotes in deep-sea Antarctic plankton
• Bose-Einstein condensates on slightly asymmetric double-well potentials
• Spin squeezing and reduced quantum noise in spectroscopy
• Macroscopic quantum self-trapping and Josephson oscillations of exciton-polaritons
• Squeezed spin states
• Transient energy excitation in shortcuts to adiabaticity for the time-dependent harmonic oscillator
• Frictionless quantum quenches in ultracold gases: A quantum-dynamical microscope