Nonclassical states of light induced via measurement in a bimodalsystem

Abstract

We investigate generation of nonclassical photon states via conditional measurement process in a two mode coupled waveguide. Interaction of the fields takes place in a waveguide beamsplitter due to the overlap between normal modes supported therein. A quadratic Hamiltonian of two degrees of freedom describes the hopping interaction. An initial two mode squeezed state undergoes a unitary evolution governed by the interaction Hamiltonian for a specified time. Following this the bipartite state is subjected to a projective measurement that detects $n$-th Fock state in one subsystem. The post-measurement excitation rendered in the residual subsystem depends on the prior time of interaction between the modes as well as the interaction strength. The Wigner quasiprobability distribution of an arbitrary post-selection state is computed. Its nonclassicality is examined via the negativity of the Wigner distribution. The sub-Poissonian nature of the photon statistics is revealed by the Mandel parameter. The dynamically generated squeezing is evidenced in the post-measurement state. In the ultrastrong coupling regime the parity even and odd states display markedly \textit{different} nonclassical properties. The nonclassicality of the post-measurement states obtained here may be \textit{controlled} by varying the interaction strength and the time span of interaction between the modes.

References in corpus (9)

• Silica-on-Silicon Waveguide Quantum Circuits
• Realization of quantum walks with negligible decoherence in waveguide lattices
• Chip-based photon quantum state sources using nonlinear optics
• Coherent Quantum Transport in Photonic Lattices
• Generation of optical Schrödinger's cat states by generalized photon subtraction
• Programmable high-dimensional Hamiltonian in a photonic waveguide array
• Linking Measures for Macroscopic Quantum States via Photon-Spin Mapping
• Assessments of macroscopicity for quantum optical states
• Creation of Two-Mode Squeezed States in Atomic Mechanical Oscillators