5 papers
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…
Nested Integral Generator Theorem: From Operator Tautologies to Families of Exact Integral Identities
Ghasem Asadi Cordshooli
Inserting resolutions of the identity is a standard technique for representing states and operators throughout quantum theory, quantum field theory, and related areas of mathematic…
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…