7 papers
Coherent-State Integrals Beyond the Domain of Operator Products
Ghasem Asadi Cordshooli
Inserting a resolution of the identity between two operators turns a matrix element of their product into a phase-space integral. For unbounded operators the product need not exist…
Exact Fock Amplitudes of the Cubic-Phase Gate on Arbitrary Pure Gaussian States
Ghasem Asadi Cordshooli
The cubic phase gate is the only non-Gaussian element of universal continuous-variable quantum computation. Its Fock amplitudes are known in closed form only when the input is a Fo…
Coherent-State Kernels for Composite Quantum Operations
Ghasem Asadi Cordshooli
This paper develops a unified kernel-based method for computing exact matrix elements of composite quantum operations by inserting resolutions of the identity after individual oper…
The Resolution of the Identity as a Generator of Exact Integral Identities: A Coherent-State Approach
Ghasem Asadi Cordshooli, Mehdi Mirzaee
The resolution of the identity is typically utilized as a passive representation tool in standard quantum mechanics textbooks. In this paper, we reinterpret this traditional perspe…
Mean Field Theory for the Quantum Rabi Model, Inconsistency to the Rotating Wave Approximation
Ghasem Asadi Cordshooli, Mehdi Mirzaee
Considering well localized atom, the mean field theory (MFT) was applied to replace the operators by equivalent expectation values. The Rabi model was reduced to a fourth orders ND…
Quantum dynamics of ultra-cold atoms in the presence of virtual photons
Ghasem Asadi Cordshooli, Mehdi Mirzaee
A single trapped ion interacting with laser light in a radiofrequency trap is considered by diagonalization of full Hamiltonian of the system in a suitable basis. The energies, eig…
Manifestation of a General Coherent State Superposition without Nonlinear Effects
Ghasem Cordshooli, Mehdi Mirzaee
We report the formation of a general superposition of coherent states in exact analytical solution of the Schrodingers equatin for atom-photon interaction by taking into account th…