Nonclassical light in coupled optical systems: anomalous power distribution, Fock space dynamics and supersymmetry

Abstract

We investigate the dynamics of nonclassical states of light in coupled optical structures and we demonstrate a number of intriguing features associated with such arrangements. By diagonalizing the system's Hamiltonian, we show that these geometries can support eigenstates having anomalous optical intensity distribution with no classical counterpart. These features may provide new avenues towards manipulating light flow at the quantum level. By projecting the Hamiltonian operator on Hilbert subspaces spanning different numbers of photon excitations, we demonstrate that processes such as coherent transport, state localization and surface Bloch oscillations can take place in Fock space. Furthermore, we show that Hamiltonian representations of Fock space manifolds differing by one photon obey a discrete supersymmetry relation

23 pages 4 figures

References in corpus (1)

• Supersymmetric Optical Structures

Cited by in corpus (3)

• On-chip non-reciprocal optical devices based on quantum inspired photonic lattices
• Latest lattice results of N=1 supersymmetric Yang-Mills theory with some topological insights
• Localization of states, Bloch wave and quantum phase transitions in SUSY deformed potentials in non-Hermitian optical systems