From order to chaos with a spin and a twist

Poul S Jessen, I. H. Deutsch, S. Ghose

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Laboratory techniques to manipulate and observe ultracold atoms make these an attractive platform for testing new ideas in quantum control and measurement. Over the last decade we have revisited the tensor interaction between light fields and multilevel atoms, and have developed a theoretical framework suited for applications in quantum control and measurement (see [1] for a review). One important finding is that the combined action of a light shift and magnetic field on an atomic ground state can be used to implement a non-linear Hamiltonian for a hyperfine spin, and that its action can lead to nonlinear spin dynamics such as wavepacket collapse and revival. Using concepts from classical control theory it is straightforward to show that this Hamiltonian is sufficiently general for full control of an arbitrarily large spin. On this foundation we have developed a new protocol for quantum state reconstruction, based on continuous weak measurement of a spin observable during carefully designed coherent evolution [2]. We have further used our tools for control and state reconstruction to implement and verify protocols for optimal control of Cs hyperfine spins (Fig. 1), showing that an initial fiducial state can be transformed into any desired target state with a fidelity in the 80-90% range [3].

Original languageEnglish (US)
Title of host publicationLasers and Electro-Optics/Quantum Electronics and Laser Science Conference: 2010 Laser Science to Photonic Applications, CLEO/QELS 2010
StatePublished - 2010
EventLasers and Electro-Optics/Quantum Electronics and Laser Science Conference: 2010 Laser Science to Photonic Applications, CLEO/QELS 2010 - San Jose, CA, United States
Duration: May 16 2010May 21 2010

Other

OtherLasers and Electro-Optics/Quantum Electronics and Laser Science Conference: 2010 Laser Science to Photonic Applications, CLEO/QELS 2010
CountryUnited States
CitySan Jose, CA
Period5/16/105/21/10

Fingerprint

Chaos theory
chaos
Hamiltonians
control theory
optimal control
Spin dynamics
spin dynamics
Atoms
atoms
Control theory
platforms
Ground state
Tensors
tensors
ground state
shift
Magnetic fields
magnetic fields
Testing
interactions

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Radiation

Cite this

Jessen, P. S., Deutsch, I. H., & Ghose, S. (2010). From order to chaos with a spin and a twist. In Lasers and Electro-Optics/Quantum Electronics and Laser Science Conference: 2010 Laser Science to Photonic Applications, CLEO/QELS 2010 [5501070]

From order to chaos with a spin and a twist. / Jessen, Poul S; Deutsch, I. H.; Ghose, S.

Lasers and Electro-Optics/Quantum Electronics and Laser Science Conference: 2010 Laser Science to Photonic Applications, CLEO/QELS 2010. 2010. 5501070.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Jessen, PS, Deutsch, IH & Ghose, S 2010, From order to chaos with a spin and a twist. in Lasers and Electro-Optics/Quantum Electronics and Laser Science Conference: 2010 Laser Science to Photonic Applications, CLEO/QELS 2010., 5501070, Lasers and Electro-Optics/Quantum Electronics and Laser Science Conference: 2010 Laser Science to Photonic Applications, CLEO/QELS 2010, San Jose, CA, United States, 5/16/10.
Jessen PS, Deutsch IH, Ghose S. From order to chaos with a spin and a twist. In Lasers and Electro-Optics/Quantum Electronics and Laser Science Conference: 2010 Laser Science to Photonic Applications, CLEO/QELS 2010. 2010. 5501070
Jessen, Poul S ; Deutsch, I. H. ; Ghose, S. / From order to chaos with a spin and a twist. Lasers and Electro-Optics/Quantum Electronics and Laser Science Conference: 2010 Laser Science to Photonic Applications, CLEO/QELS 2010. 2010.
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