Multiphoton Jaynes-Cummings Model: Arbitrary Rotations in Fock Space and Quantum Filters

Author(s)

Villas-Boas, Celso J. ^[1] ; Rossatto, Daniel Z. ^{[1, 2]}

Affiliation

^[1] Univ Fed Sao Carlos, Dept Fis, BR-13565905 Sao Carlos, SP - Brazil

^[2] Univ Estadual Paulista, UNESP, Campus Expt Itapeva, BR-18409010 Itapeva, SP - Brazil

• Document type: Journal article
• Source: Physical Review Letters; v. 122, n. 12 MAR 28 2019.
• Web of Science Citations: 1

Abstract

The multiphoton Jaynes-Cummings model is investigated and applications in quantum information science are explored. Considering the strong atom-field coupling regime and an N-photon interaction, a nonlinear driving field can perform an arbitrary rotation in the Fock space of a bosonic mode involving the vacuum and an M-Fock state, with M < N. In addition, driving a bosonic mode with a linear coherent field (superposition of many Fock states), only the cavity states within the Fock subspace [vertical bar 0 >, vertical bar 1 >, . . . , vertical bar N - 1 > ] can be populated; i.e., we show how to implement a Fock state filter, or quantum scissor, that restricts the dynamics of a given bosonic mode to a limited Hilbert space. Such a device can be employed as a generator of finite-dimensional quantum-optical states and also as a quantum-optical intensity limiter, allowing as a special case the generation of single-photon pulses. On the other hand, our system also provides a very rich physics in the weak atom-field coupling regime, in particular, multiphoton electromagnetically induced transparencylike phenomena, inducing a narrow (controllable) reflectivity window for nonlinear probe fields. These results are useful for applications in quantum information processing and also motivate further investigations, e.g., the use of an N-photon Jaynes-Cummings system as a qudit with harmonic spectrum and the exploration of multiphoton quantum interference. (AU)

• FAPESP's process: 13/23512-7 - Circuit Quantum Electrodynamics: Bistability and Squeezed States
• Grantee: Daniel Zini Rossatto
• Support type: Scholarships in Brazil - Post-Doctorate
• FAPESP's process: 13/04162-5 - Development of quantum sensors based on ultracold atoms
• Grantee: Philippe Wilhelm Courteille
• Support type: Research Projects - Thematic Grants