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Quantum States

One popular characterization of quantum states is through Glauber's correlators $g^{(n)}$ (the most famous one being $g^{(2)}$). We provided a nice way to explore the Hilbert space of all quantum states using those as flashlights (see Wading through the Hilbert space).

Fock states

Coherent states

🕮Coherent States and Their Applications. J.-P. Antoine and F. Bagarello and J.-P. Gazeau. Springer Proceedings in Physics, 2019. [ISBN: 978-3-319-76731-4] [DOI: 10.1007/978-3-319-76732-1]

Thermal states

Cothermal states

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Gaussian states

Gaussian states are those which can be created only with displacement operators and squeezing.

The precise one-mode definition is:^[1]

A Gaussian state is pure iff the determinant of the coherence variance matrix = 1.^[2]^[3]

Squeezing

Beyond the diagonal

Randomly phased coherent states

Pure thermal distribution

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References

↑ Quantifying coherence of Gaussian states. J. Xu in Phys. Rev. A 93:032111 (2016).
↑ Template:Wang07a
↑ Quantifying coherence in infinite-dimensional systems. Y. Zhang, L. Shao, Y. Li and H. Fan in Phys. Rev. A 93:012334 (2016).

[xu16b-1] Quantifying coherence of Gaussian states. J. Xu in Phys. Rev. A 93:032111 (2016).

[wang07a-2] Template:Wang07a

[zhang16b-3] Quantifying coherence in infinite-dimensional systems. Y. Zhang, L. Shao, Y. Li and H. Fan in Phys. Rev. A 93:012334 (2016).

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