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Revision as of 11:00, 3 February 2025
This page is still in progress.
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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
Interpolate between thermal and coherent states.
Theoretical Aspects of Mixtures of Thermal and Coherent Radiation. G. Lachs in Phys. Rev. 138:B1012 (1965).
Negative binomial states
Interpolate between thermal and coherent states.
Glauber-Sudarshan P representation of negative binomial states. K. Matsuo in Phys. Rev. A 41:519 (1990). Negative Binomial States of Quantized Radiation Fields. H. Fu and R. Sasaki in J. Phys. Soc. Jpn. 66:1989 (1997).
Binomial states
Interpolate between Fock and coherent states.
Phase states
Number-phase states
Intermediate number-phase states of the quantized radiation field. B. Baseia, A. d. Lima and G. Marques in Phys. Lett. A 204:1 (1995).
Gaussian states
Gaussian states are those which can be created only with displacement operators and squeezing. See Ref. Quantum optics in the phase space. S. Olivares in Eur. Phys. J. Spec. Top. 203:3 (2012). for a tutorial.
Another 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
Pure states having thermal photon distribution revisited: generation and phase-optimization. B. Baseia, C. M. Dantas and M. Moussa in Physica A 258:203 (1998).
References
- ↑ Quantifying coherence of Gaussian states. J. Xu in Phys. Rev. A 93:032111 (2016).
- ↑ Quantum information with Gaussian states. X.-B. Wang, T. Hiroshima, A. Tomita and M. Hayashi in Phys. Rep. 448:1 (2007).
- ↑ Quantifying coherence in infinite-dimensional systems. Y. Zhang, L. Shao, Y. Li and H. Fan in Phys. Rev. A 93:012334 (2016).