Abstract
We study quantum control of the full hyperfine manifold in the ground-electronic state of alkali-metal atoms based on applied radio frequency and microwave fields. Such interactions should allow essentially decoherence-free dynamics and the application of techniques for robust control developed for NMR spectroscopy. We establish the conditions under which the system is controllable in the sense that one can generate an arbitrary unitary map on the system. We apply this to the case of Cs133 with its d=16 dimensional Hilbert space of magnetic sublevels in the 6 S1 2 state, and design control wave forms that generate an arbitrary target state from an initial fiducial state. We develop a generalized Wigner function representation for this space consisting of the direct sum of two irreducible representations of SU(2), allowing us to visualize these states. The performance of different control scenarios is evaluated based on the ability to generate a high-fidelity operation in an allotted time with the available resources. We find good operating points commensurate with modest laboratory requirements.
| Original language | English (US) |
|---|---|
| Article number | 023404 |
| Journal | Physical Review A |
| Volume | 78 |
| Issue number | 2 |
| DOIs | |
| State | Published - Aug 12 2008 |
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ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- Physics and Astronomy(all)
Cite this
Quantum control of the hyperfine-coupled electron and nuclear spins in alkali-metal atoms. / Merkel, Seth T.; Jessen, Poul S; Deutsch, Ivan H.
In: Physical Review A, Vol. 78, No. 2, 023404, 12.08.2008.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Quantum control of the hyperfine-coupled electron and nuclear spins in alkali-metal atoms
AU - Merkel, Seth T.
AU - Jessen, Poul S
AU - Deutsch, Ivan H.
PY - 2008/8/12
Y1 - 2008/8/12
N2 - We study quantum control of the full hyperfine manifold in the ground-electronic state of alkali-metal atoms based on applied radio frequency and microwave fields. Such interactions should allow essentially decoherence-free dynamics and the application of techniques for robust control developed for NMR spectroscopy. We establish the conditions under which the system is controllable in the sense that one can generate an arbitrary unitary map on the system. We apply this to the case of Cs133 with its d=16 dimensional Hilbert space of magnetic sublevels in the 6 S1 2 state, and design control wave forms that generate an arbitrary target state from an initial fiducial state. We develop a generalized Wigner function representation for this space consisting of the direct sum of two irreducible representations of SU(2), allowing us to visualize these states. The performance of different control scenarios is evaluated based on the ability to generate a high-fidelity operation in an allotted time with the available resources. We find good operating points commensurate with modest laboratory requirements.
AB - We study quantum control of the full hyperfine manifold in the ground-electronic state of alkali-metal atoms based on applied radio frequency and microwave fields. Such interactions should allow essentially decoherence-free dynamics and the application of techniques for robust control developed for NMR spectroscopy. We establish the conditions under which the system is controllable in the sense that one can generate an arbitrary unitary map on the system. We apply this to the case of Cs133 with its d=16 dimensional Hilbert space of magnetic sublevels in the 6 S1 2 state, and design control wave forms that generate an arbitrary target state from an initial fiducial state. We develop a generalized Wigner function representation for this space consisting of the direct sum of two irreducible representations of SU(2), allowing us to visualize these states. The performance of different control scenarios is evaluated based on the ability to generate a high-fidelity operation in an allotted time with the available resources. We find good operating points commensurate with modest laboratory requirements.
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U2 - 10.1103/PhysRevA.78.023404
DO - 10.1103/PhysRevA.78.023404
M3 - Article
AN - SCOPUS:49549122401
VL - 78
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 2
M1 - 023404
ER -