Abstract

We propose a method to generate nonclassical states of light in multimode microwave cavities. Our approach considers two-photon processes that take place in a system composed of N extended cavities and an ultrastrongly coupled light–matter system. Under specific resonance conditions, our method generates, in a deterministic manner, product states of uncorrelated photon pairs, Bell states, and W states in different modes on the extended cavities. Furthermore, the numerical simulations show that the generation scheme exhibits a collective effect which decreases the generation time in the same proportion as the number of extended cavity increases. Moreover, the entanglement encoded in the photonic states can be transferred towards ancillary two-level systems to generate genuine multipartite entanglement. Finally, we discuss the feasibility of our proposal in circuit quantum electrodynamics. This proposal could be of interest in the context of quantum random number generator, due to the quadratic scaling of the output state.

Highlights

  • The state-of-the-art devices exhibiting quantum behaviour has grown extensively in the last two decades. Remarkable platforms such as superconducting circuits [1,2,3] and circuit quantum electrodynamics (QED) [4,5] have allowed the implementation of microwave quantum photonics [6,7], where superconducting electrical circuits mimic the behavior of atoms and cavities [8,9,10]

  • The notable features of superconducting circuits have triggered a bunch of proposals for microwave photon generation in systems composed of a large number of cavities

  • Unlike the previous proposal based on microwave photonic state generation, where the considered system works in the single-mode approximation [61,62,63,64], and the generation time remains constant independently of the number of subsystems [65], we propose a method to generate nonclassical states of light in multimode microwave cavities

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Summary

Introduction

The state-of-the-art devices exhibiting quantum behaviour has grown extensively in the last two decades Remarkable platforms such as superconducting circuits [1,2,3] and circuit quantum electrodynamics (QED) [4,5] have allowed the implementation of microwave quantum photonics [6,7], where superconducting electrical circuits mimic the behavior of atoms and cavities [8,9,10].

The Model
Parity Symmetry Z2 and Selection Rules
Two Photon Process Mediated by a Quantum Rabi System
Copies of Density Matrices
Entanglement Swapping between Distant Superconducting Qubits
Implementation in Circuit QED
C c φk
Rabi System Hamiltonian
Multimode Cavity Hamiltonian
Complete Model
Driving the Superconducting Qubit
Findings
Conclusions
Full Text
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