Mykola Maksymenko

Mykola Maksymenko

Ukraine
5 тис. послідовників 500+ контактів

Загальна інформація

I am co-founder and CTO of Haiqu, a Quantum Computing startup developing breakthrough…

Діяльність

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Досвід

  • Haiqu Графіка
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    Lviv, Ukraine

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    Israel

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    Dresden Area, Germany

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    Lviv

Освіта

  • LvBS Графіка
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    Діяльність та товаристваPresident of European Physical Society Young Mind Section.

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    - Master Thesis - "Quantum Brachistochrone problem".

    A search for a time-optimal Hamiltonian to provide the shortest possible evolution between two quantum states, important for efficient quantum computation and information processing.

Ліцензії та сертифікати

Публікації

  • Scattering matrix invariants of Floquet topological insulators

    Physical Review B (Editor's Suggestion)

    Similar to static systems, periodically driven systems can host a variety of topologically non-trivial phases. Unlike the case of static Hamiltonians, the topological indices of bulk Floquet bands may fail to describe the presence and robustness of edge states, prompting the search for new invariants. We develop a unified description of topological phases and their invariants in driven systems, by using scattering theory. We show that scattering matrix invariants correctly describe the…

    Similar to static systems, periodically driven systems can host a variety of topologically non-trivial phases. Unlike the case of static Hamiltonians, the topological indices of bulk Floquet bands may fail to describe the presence and robustness of edge states, prompting the search for new invariants. We develop a unified description of topological phases and their invariants in driven systems, by using scattering theory. We show that scattering matrix invariants correctly describe the topological phase, even when all bulk Floquet bands are trivial. Additionally, we use scattering theory to introduce and analyze new periodically driven phases, such as weak topological Floquet insulators, for which invariants were previously unknown. We highlight some of their similarities with static systems, including robustness to disorder, as well as some of the features unique to driven systems, showing that the weak phase may be destroyed by breaking translational symmetry not in space, but in time.

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  • Reversible first-order transition in Pauli percolation

    Physical Review E

    Percolation plays an important role in fields and phenomena as diverse as the study of social networks, the dynamics of epidemics, the robustness of electricity grids, conduction in disordered media, and geometric properties in statistical physics. We analyze a new percolation problem in which the first-order nature of an equilibrium percolation transition can be established analytically and verified numerically. The rules for this site percolation model are physical and very simple, requiring…

    Percolation plays an important role in fields and phenomena as diverse as the study of social networks, the dynamics of epidemics, the robustness of electricity grids, conduction in disordered media, and geometric properties in statistical physics. We analyze a new percolation problem in which the first-order nature of an equilibrium percolation transition can be established analytically and verified numerically. The rules for this site percolation model are physical and very simple, requiring only the introduction of a weight W(n)=n+1 for a cluster of size n. This establishes that a discontinuous percolation transition can occur with qualitatively more local interactions than in all currently considered examples of explosive percolation; and that, unlike these, it can be reversible. This greatly extends both the applicability of such percolation models in principle and their reach in practice.

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  • Classical dipoles on the kagome lattice

    Physical Review B

    Motivated by recent developments in magnetic materials, frustrated nanoarrays, and cold atomic systems, we investigate the behavior of dipolar spins on the frustrated two-dimensional kagome lattice. By combining the Luttinger-Tisza approach, numerical energy minimization, spin-wave analysis, and parallel tempering Monte Carlo, we study long-range ordering and finite-temperature phase transitions for a Hamiltonian containing both dipolar and nearest-neighbor interactions. For antiferromagnetic…

    Motivated by recent developments in magnetic materials, frustrated nanoarrays, and cold atomic systems, we investigate the behavior of dipolar spins on the frustrated two-dimensional kagome lattice. By combining the Luttinger-Tisza approach, numerical energy minimization, spin-wave analysis, and parallel tempering Monte Carlo, we study long-range ordering and finite-temperature phase transitions for a Hamiltonian containing both dipolar and nearest-neighbor interactions. For antiferromagnetic exchange and both weak and moderate dipolar interactions, the system enters a three-sublattice long-range ordered state with each triangle having vanishing dipole and quadrupole moments; whereas for dominating dipolar interactions we uncover ferrimagnetic three-sublattice order. These are also the ground states for XY spins. We discuss excitations of, as well as phase transitions into, these states. We find behavior consistent with Ising criticality for the 120∘ state, whereas the ferrimagnetic state appears to be associated with drifting exponents. The celebrated flat band of zero-energy excitations of the kagome nearest-neighbor Heisenberg model is lifted to finite energies but acquires only minimal dispersion as dipolar interactions are added.

    Інші автори
    • V. Ravi Chandra
    • Roderich Moessner
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  • Strongly correlated flat-band systems: The route from Heisenberg spins to Hubbard electrons

    International Journal of Modern Physics B

    In this review we recapitulate the basic features of the flat-band spin systems and briefly summarize earlier studies in the field. Main emphasis is made on recent developments which include results for both spin and electron flat-band models. In particular, for flat-band spin systems we highlight field-driven phase transitions for frustrated quantum Heisenberg antiferromagnets at low temperatures, chiral flat-band states, as well as the effect of a slight dispersion of a previously strictly…

    In this review we recapitulate the basic features of the flat-band spin systems and briefly summarize earlier studies in the field. Main emphasis is made on recent developments which include results for both spin and electron flat-band models. In particular, for flat-band spin systems we highlight field-driven phase transitions for frustrated quantum Heisenberg antiferromagnets at low temperatures, chiral flat-band states, as well as the effect of a slight dispersion of a previously strictly flat band due to nonideal lattice geometry. For electronic systems, we discuss the universal low-temperature behavior of several flat-band Hubbard models, the emergence of ground-state ferromagnetism in the square-lattice Tasaki-Hubbard model and the related Pauli-correlated percolation problem, as well as the dispersion-driven ground-state ferromagnetism in flat-band Hubbard systems. Closely related studies and possible experimental realizations of the flat-band physics are also described briefly.

    Інші автори
    • O. Derzhko
    • J. Richter
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Відзнаки та нагороди

  • Koshland Prize

    Weizmann Institute of Science

  • Best poster award at MECO 36 conference

    MECO 36 conference

  • DAAD scholarship for Young Scientists and PhD students

    Deutsche Akademische Austausch Dienst

  • Award of Lviv Regional State Administration

    Regional State Administration of Lviv

    Annual award for Young Scientists

Мови

  • English

    Повний професійний рівень володіння

  • German

    Елементарний рівень володіння

  • Polish

    Обмежений рівень володіння, достатній для роботи

  • Russian

    Рідна мова або володіння двома мовами

  • Ukrainian

    Рідна мова або володіння двома мовами

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