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== Gaussian states == | == Gaussian states == | ||
Gaussian states are those which can be created only with displacement operators and squeezing. | Gaussian states are those which can be created only with displacement operators and squeezing. See Ref. {{olivares12a}} for a tutorial. | ||
Another one-mode definition is:{{cite|xu16b}} | |||
<center><wz tip="Definition of single-mode Gaussian states.">[[File:Screenshot_20250125_160250.png|400px]]</wz></center> | <center><wz tip="Definition of single-mode Gaussian states.">[[File:Screenshot_20250125_160250.png|400px]]</wz></center> | ||
Revision as of 00:02, 27 January 2025
This page is still in progress.
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
Theoretical Aspects of Mixtures of Thermal and Coherent Radiation. G. Lachs in Phys. Rev. 138:B1012 (1965).
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).