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Equivalence principle and quantum mechanics: quantum simulation with entangled photons
Stefano Longhi
Einstein`s equivalence principle states the complete physical equivalence of a gravitational field and corresponding inertial field in an accelerated reference frame. However, to w…
Oscillating potential well in complex plane and the adiabatic theorem
Stefano Longhi
A quantum particle in a slowly-changing potential well , periodically shaken in time at a slow frequency , provides an important quantum mechanical system w…
Reflectionless and invisible potentials in photonic lattices
Stefano Longhi
An arbitrarily-shaped optical potential on a discrete photonic lattice, which transversely drifts at a speed larger than the maximum one allowed by the light cone of the lattice ba…
Floquet exceptional points and chirality in non-Hermitian Hamiltonians
Stefano Longhi
Floquet exceptional points correspond to the coalescence of two (or more) quasi-energies and corresponding Floquet eigenstates of a time-periodic non-Hermitian Hamiltonian. They ge…
Kramers-Kronig potentials for the discrete Schrödinger equation
Stefano Longhi
In a seminal work, S.A.R. Horsley and collaborators [S.A.R. Horsley {\em et al.}, Nature Photon. {\bf 9}, 436 (2015)] have shown that, in the framework of non-Hermitian extensions…
Time reversal of a discrete system coupled to a continuum based on non-Hermitian flip
Stefano Longhi
Time reversal in quantum or classical systems described by an Hermitian Hamiltonian is a physically allowed process, which requires in principle inverting the sign of the Hamiltoni…