Engineering Arbitrary Hamiltonians in Phase Space

Autor:	Guo, Lingzhen, Peano, Vittorio
Rok vydání:	2023
Předmět:	Quantum Physics Condensed Matter - Mesoscale and Nanoscale Physics Condensed Matter - Quantum Gases Physics - Applied Physics Physics - Optics
Zdroj:	Phys. Rev. Lett. 132, 023602 (2024)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevLett.132.023602
Popis:	We introduce a general method to engineer arbitrary Hamiltonians in the Floquet phase space of a periodically driven oscillator, based on the non-commutative Fourier transformation (NcFT) technique. We establish the relationship between an arbitrary target Floquet Hamiltonian in phase space and the periodic driving potential in real space. We obtain analytical expressions for the driving potentials in real space that can generate novel Hamiltonians in phase space, e.g., rotational lattices and sharp-boundary well. Our protocol can be realised in a range of experimental platforms for nonclassical states generation and bosonic quantum computation. Comment: More results and 6 new figures are added in the 2nd version; Figures are updated and typos are corrected in the 3rd version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2302.04257 Zobrazit plný text záznamu View this record from Arxiv