activity
19952020
most citedAlternative commutation relations, star products and tomography

213 citations · 764 across the 35 of their papers we have counts for

collaborators

36 papers

quant-ph2020★ 6 cited

Coherent states of parametric oscillators in the probability representation of quantum mechanics

Vladimir N. Chernega, Olga V. Man'ko

Glauber coherent states of quantum systems are reviewed. We construct the tomographic probability distributions of the oscillator states. The possibility to describe quantum states…

quant-ph2020

Probability representation of photon states and tomography

Vladimir N. Chernega, Olga V. Man'ko, Vladimir I. Man'ko

We give a review of the tomographic probability representation of quantum mechanics. We present the formalism of quantum states and quantum observables using the formalism of stand…

quant-ph2019★ 16 cited

Probability representation of quantum states as a renaissance of hidden variables -- God plays coins

Vladimir N. Chernega, Olga V. Man'ko, Vladimir I. Man'ko

We develop an approach where the quantum system states and quantum observables are described as in classical statistical mechanics -- the states are identified with probability dis…

quant-ph2019★ 5 cited

Tomographic and statistical properties of superposition states for two-mode systems

Sergey V. Kuznetsov, Aleksander V. Kyusev, Olga V. Man'ko

The two-mode even and odd coherent states and two-mode squeezed correlated state are discussed. Photon distribution functions, means, dispersions, Fano factor for even and odd cohe…

quant-ph2019★ 22 cited

Time-dependent oscillator with Kronig-Penney excitation

V. V. Dodonov, O. V. Man'ko, V. I. Man'ko

Exact solutions of the time-dependent Schrodinger equation for a quantum oscillator subject to periodical frequency delta-kicks are obtained. We show that the oscillator occurs in…

quant-ph2019★ 12 cited

Photon-number tomography of multimode states and positivity of the density matrix

Olga Man'ko, V. I. Man'ko

For one-mode and multimode light, the photon-number tomograms of Gaussian quantum states are explicitly calculated in terms of multivariable Hermite polynomials. Positivity of the…