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Journal of Statistical Physics

Generalized Spin Coherent States: Construction and Some Physical Properties

K. Berrada, M. El Baz, Y. Hassouni

Published Jan 21, 2011• 26 citations
Publisher
DOI
10.1007/s10955-011-0124-z

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We introduce families of pure quantum states that are constructed on top of the well-known Gilmore-Perelomov group-theoretic coherent states.We do this by constructing unitaries as the exponential of operators quadratic in Cartan subalgebra elements and by applying these unitaries to regular group-theoretic coherent states.This enables us to generate entanglement not found in the coherent states themselves, while retaining many of their desirable properties.Most importantly, we explain how the expectation values of physical observables can be evaluated efficiently.Examples include generalized spin-coherent states and generalized Gaussian states, but our construction can be applied to any Lie group represented on the Hilbert space of a quantum system.We comment on their applicability as variational families in condensed matter physics and quantum information.
In this paper, we construct and investigate the nonclassical properties of the squeezing and rotating coherent state (SRCS) via a generalized squeezed operator by introducing a novel parameter r. In a particular case r = 0, SRCS reduces to the normal squeezed coherent state (SCS). The influence of r is studied in terms of squeezing and quantum statistical properties. Our results show that in the SCS not only is squeezing enhanced but also is rotated by the parameter r. Our discussion about the fidelity between SRCS and SCS shows that the fidelity values decrease with increasing parameter r. The experimental scheme for producing SRCS is also given via a self-Kerr medium and non-degenerate parametric amplifier.