A Themed Issue in Honor of Professor Viktor Dodonov—55 Years in Quantum Physics

Dear Colleagues,

Fifty-five years ago, in September of 1969, Viktor Dodonov [then a 4th-year student at Moscow Institute of Physics and Technology (MIPT)] began to study the course of Quantum Mechanics as a part of the theoretical physics program of that institute. The weekly seminars in his group were conducted by a young assistant professor of the Theoretical Physics Department of MIPT and a researcher at Lebedev Physics Institute of the Academy of Sciences of USSR (LPI), Dr. Vladimir Man'ko. One year later, Viktor started to perform scientific research under the informal supervision of Vladimir Man'ko and Ilya Malkin [who also worked at the Theoretical Physics Department of MIPT]. Their first joint paper, entitled "Coherent states of a charged particle in a time-dependent uniform electromagnetic field of a plane current", was finished in 1971 and published in Physica (Amsterdam) in 1972 [vol. 59, p. 241]. Since then, various problems related to the motion of charged particles (non-relativistic and relativistic) have been one of the favorite subjects of Viktor's studies.

One of his recent papers in this field, "Giant diamagnetism of a quantum charged particle after inversion of the magnetic field", written with his son Alexandre, was published in Physical Review A in 2022 [vol. 105, art. 062201]. The new concept of even/odd coherent states was introduced by Dodonov, Malkin, and Man'ko in the paper "Even and odd coherent states and excitations of a singular oscillator" [Physica, v.72, p.597 (1974)]. Currently, these states are considered the simplest model of the famous "Schroedinger cat" states.

Properties of different kinds of "squeezed" and other "nonclassical" states were the subjects of studies performed by Viktor through the decades. His famous review "`Nonclassical' states in quantum optics: a “squeezed' review of the first 75 years” [Journal of Optics B, v.4, p.R1-R33 (2002)] contained more than 800 references; it was cited more than 700 times by now. In his PhD thesis, defended in MIPT in 1976 (under the supervision of Vladimir Man'ko and Prof. Vladimir Berestetskiy), Viktor developed an elegant method of time-dependent linear quantum invariants, which enables one to solve the dynamics of quantum systems with general time-dependent quadratic Hamiltonians most simply. These initial results were acknowledged by the Lenin Komsomol Prize for young scientists of the Moscow Region in 1981. Since that period, Viktor has published (with many collaborators and students) more than 300 papers cited more than 6000 times. From 1972 to 1996, he was the assistant/associate professor at MIPT and researcher at LPI. Since 2003, he has been a full professor at the University of Brasilia in Brazil. Among various lines of research conducted by Viktor, a distinguished role belongs to the so-called Dynamical Casimir Effect. His first paper in this direction was published with Andrei Klimov and Vladimir Man'ko in 1989 ["Nonstationary Casimir effect and oscillator energy level shift", Physics Letters A, v.142, p.511]. Since that time, he has published dozens of well-cited papers and several reviews in this field [the first review, "Nonstationary Casimir Effect and analytical solutions for quantum fields in cavities with moving boundaries" with 333 references, was published in 2001; the most recent review "Fifty years of the Dynamical Casimir Effect" was published in Physics, vol. 2, pp. 67-105 (2020); it contained more than 555 references]. Another area that always attracted Viktor's attention was the uncertainty relations and their generalizations in different parts of physics and information theory. Here, he also published several original papers and reviews.

Celebrating the 55 years journey of Viktor Dodonov through the Quantum World, we invite all colleagues to submit papers related to the following large areas where Viktor made significant contributions:

• Dynamical Casimir Effect and quantum systems with moving (nonstationary) boundaries;
• Time-dependent quantum invariants and their applications;
• Uncertainty relations, their generalizations, and applications;
• "Nonclassical" states in quantum optics, quantum information, and other areas;
• Quantum particles in magnetic fields;
• Motion (evolution) of quantum packets;
• Dynamics of closed and open quantum systems;
• Master equations and their solutions;
• Adiabatic and fast dynamics;
• Jaynes-Cummings model, its generalizations and applications;
• Wigner function and quantum dynamics in phase space;
• Nonlinear generalizations of the Schroedinger equation;
• Decoherence, damping, relaxation, and thermalization in quantum systems;
• Quantum systems with time-dependent parameters.

Prof. Dr. Andrei Klimov
Prof. Dr. Luis L. Sánchez-Soto
Guest Editors

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• Nonstationary Casimir effect
• phase-space methods
• uncertainty relations
• decoherence
• nonclassicality
• nonlinear and time-dependent quantum evolution