Wigner Functions for Arbitrary Quantum Systems

Abstract

The possibility of constructing a complete, continuous Wigner function for any quantum system has been a subject of investigation for over 50 years. A key system that has served to illustrate the difficulties of this problem has been an ensemble of spins. Here we present a general and consistent framework for constructing Wigner functions exploiting the underlying symmetries in the physical system at hand. The Wigner function can be used to fully describe any quantum system of arbitrary dimension or ensemble size.

5 pages, 3 figures

References in corpus (4)

• Reconstruction of non-classical cavity field states with snapshots of their decoherence
• Precision measurement of spin-dependent interaction strengths for spin-1 and spin-2 87Rb atoms
• Precision Measurements Using Squeezed Spin States via Two-axis Counter-twisting Interactions
• Towards a complete, continuous, Wigner function for an ensemble of spins or qubits

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