Thouless pumping and generation of squeezed Fock-state superpositions in a Fock-state lattice

@misc{cai2026thouless,
  title = {{Thouless pumping and generation of squeezed Fock-state superpositions in a Fock-state lattice}},
  author = {Ruo Kun Cai and Ling Lin and Chun Wang Wu and Zhi Jiao Deng and Ping Xing Chen},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.02569},
  eprint = {2609.02569},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.02569},
}

TY  - UNPB
TI  - Thouless pumping and generation of squeezed Fock-state superpositions in a Fock-state lattice
AU  - Ruo Kun Cai
AU  - Ling Lin
AU  - Chun Wang Wu
AU  - Zhi Jiao Deng
AU  - Ping Xing Chen
PY  - 2026
DA  - 2026/09/02
PB  - arXiv
DO  - 10.48550/arxiv.2609.02569
UR  - https://arxiv.org/abs/2609.02569
AB  - In this paper, Thouless pumping in a one-dimensional semi-infinite Fock-state lattice is investigated. A distinctive feature of such lattices is the intrinsic √n-dependent coupling arising from the bosonic mode, which leads to spatially nonuniform hopping amplitudes. In the dimer limit, the topological invariants and the quantized transport dynamics in the Fock-state basis are numerically evaluated and analyzed. By introducing an additional inter-cell coupling and applying a squeezing transformation, the framework is then extended to Thouless pumping in the squeezed Fock-state basis, where a topologically protected scheme for preparing superpositions of squeezed Fock states is proposed. This study establishes Thouless pumping in Fock-state lattices as a useful tool for quantum state engineering, shifting the focus from observing topological transport to harnessing it for the preparation of non-classical states of the bosonic mode.
ER  -