• High-frequency expansions for time-periodic Lindblad generators 

      Schnell, Alexander; Denysov, Sergiy; Eckardt, André (Physical review B (PRB);104, 165414, Peer reviewed; Journal article, 2021-10-15)
      Floquet engineering of isolated systems is often based on the concept of the effective time-independent Floquet Hamiltonian, which describes the stroboscopic evolution of a periodically driven quantum system in steps of ...
    • Infinite horizon billiards: Transport at the border between Gauss and Lévy universality classes 

      Zarfaty, Lior; Peletskyi, Alexander; Barkai, Eli; Denysov, Sergiy (Physical Review E;Vol. 100, Iss. 4 — October 2019, Journal article; Peer reviewed, 2019-10-31)
      We consider transport in two billiard models, the infinite horizon Lorentz gas and the stadium channel, presentinganalyticalresultsforthespreadingpacketofparticles.Wefirstobtainthecumulativedistributionfunction of traveling ...
    • Is there a Floquet Lindbladian? 

      Schnell, Alexander; Eckardt, Andre; Denysov, Sergiy (Physical Review B;Vol. 101, Iss. 10 — 1 March 2020, Journal article; Peer reviewed, 2020-01-17)
      The stroboscopic evolution of a time-periodically driven isolated quantum system can always be described by an effective time-independent Hamiltonian. Whether this concept can be generalized to open Floquet systems, described ...
    • Modeling Complex Quantum Dynamics: Evolution of Numerical Algorithms in the HPC Context 

      Meyerov, I.; Liniov, A.; Ivanchenko, M.; Denysov, Sergiy (Lobachevskii Journal of Mathematics;Vol. 41, No. 8, Journal article; Peer reviewed, 2020-10-21)
      Due to complexity of the systems and processes it addresses, the development of computational quantum physics is influenced by the progress in computing technology. Here we overview the evolution, from the late 1980s to ...
    • Photon waiting-time distributions: A keyhole into dissipative quantum chaos 

      Yusipov, Igor; Vershinina, Olga; Denysov, Sergiy; Ivanchenko, Mikhail (Chaos;Volume 30, Issue 2, Journal article; Peer reviewed, 2020-01-14)
      Open quantum systems can exhibit complex states, for which classification and quantification are still not well resolved. The Kerr-nonlinear cavity, periodically modulated in time by coherent pumping of the intracavity ...
    • Propagating large open quantum systems towards their asymptotic states: cluster implementation of the time-evolving block decimation scheme 

      Volokitin, V; Vakulchyk, Ihor; Kozinov, E; Liniov, A; Meyerov, I; Ivanchenko, Mikhail; Laptyeva, T; Denysov, Sergiy (Journal of Physics: Conference Series;Volume 1392, Journal article; Peer reviewed, 2019)
      Many-body quantum systems are subjected to the Curse of Dimensionality: The dimension of the Hilbert space H, where these systems live in, grows exponentially with number of their components. However, with some systems, ...
    • Quantum Lyapunov exponents beyond continuous measurements 

      Yusipov, Igor; Vershinina, Olga; Denysov, Sergiy; Kuznetsov, Sergey; Ivanchenko, Mikhail (Chaos;Volume 29, Issue 6, Journal article; Peer reviewed, 2019-10-28)
      Quantum systems, when interacting with their environments, may exhibit non-equilibrium states that are tempting to be interpreted as quantum analogs of chaotic attractors. However, different from the Hamiltonian case, the ...
    • Quasi-stationary oscillations in game-driven evolutionary dynamics 

      Vershinina, Olga; Ivanchenko, Mikhail; Denysov, Sergiy (Cybernetics and Physics;Volume 8, 2019, Number 4, Journal article; Peer reviewed, 2019-12-24)
      Nonlinear dynamics makes use of attactors to describe asymptotic behavior of complex systems. However, in real life can be unattainable, as achieving them might require time much exceeding all relevant timescales of a ...
    • Quasi-stationary states of game-driven systems: A dynamical approach 

      Denysov, Sergiy; Vershinina, Olga; Thingna, Juzar; Hanggi, Peter; Ivanchenko, Mikhail (Chaos;Volume 30, issue 12, Journal article; Peer reviewed, 2020-12-28)
      Evolutionary game theory is a framework to formalize the evolution of collectives (“populations”) of competing agents that are playing a game and, after every round, update their strategies to maximize individual payoffs. ...
    • Transforming Lindblad Equations Into Systems of Real-Valued Linear Equations: Performance Optimization and Parallelization of an Algorithm 

      Meyerov, I; Kozinov, E; Liniov, A; Volokitin, V; Yusipov, Igor; Ivanchenko, Mikhail; Denysov, Sergiy (Entropy;Volume 22, Issue 10, Journal article; Peer reviewed, 2020-10-06)
      With their constantly increasing peak performance and memory capacity, modern supercomputers offer new perspectives on numerical studies of open many-body quantum systems. These systems are often modeled by using Markovian ...
    • Unfolding a quantum master equation into a system of real-valued equations: Computationally effective expansion over the basis of SU(N) generators 

      Liniov, A; Meyerov, I; Kozinov, E; Volokitin, V; Yusipov, Igor; Ivanchenko, Mikhail; Denysov, Sergiy (Physical Review E;Volume 100, Issue 5 — November 2019, Journal article; Peer reviewed, 2019-11-11)
      Dynamics of an open N-state quantum system is often modeled with a Markovian master equation describing the evolution of the system density operator. By using generators of SU(N) group as a basis, the density operator can ...
    • Universal spectra of random Lindblad operators 

      Denysov, Sergiy; Laptyeva, T; Tarnowski, Wojciech; Chruściński, Dariusz; Życzkowski, Karol (Physical Review Letters;Volume 123, Issue 14 4 October 2019, Journal article; Peer reviewed, 2019)
      To understand the typical dynamics of an open quantum system in continuous time, we introduce an ensemble of random Lindblad operators, which generate completely positive Markovian evolution in the space of the density ...