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Single-mode squeezed states exhibit a direct correspondence with points on the Poincaré disk. In this study, we delve into this correspondence and describe the motions of the disk generated by a quadratic Hamiltonian. This provides a geometric representation of squeezed states and their evolution. We discuss applications in bang-bang and adiabatic control problems involving squeezed states.
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This content will become publicly available on May 14, 2026
Chiral ground states in a nematic liquid crystal confined to a cylinder with homeotropic anchoring
We analyze the spontaneous chiral-symmetry breaking states of a nematic liquid crystal system confined to a cylindrical capillary with homeotropic boundary conditions. A stability diagram is constructed, and the geometry of the states investigated.
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- Award ID(s):
- 2223707
- PAR ID:
- 10639672
- Publisher / Repository:
- Royal Society of Chemistry
- Date Published:
- Journal Name:
- Soft Matter
- Volume:
- 21
- Issue:
- 19
- ISSN:
- 1744-683X
- Page Range / eLocation ID:
- 3768 to 3781
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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