62 citations · 189 across the 9 of their papers we have counts for
9 papers
Non-Equilibrium Properties of Open Quantum Systems
Ihor Vakulchyk
We study two classes of open systems: discrete-time quantum walks (a type of Floquet-engineered discrete quantum map) and the Lindblad master equation (a general framework of dissi…
Uniform Anderson Localization in One-Dimensional Floquet Maps
Ihor Vakulchyk, Sergej Flach
We study Anderson localization in a discrete-time quantum map dynamics in one dimension with nearest-neighbor hopping strength and quasienergies located on the unit circle. We…
Time molecules with periodically driven interacting qubits
K. V. Shulga, I. Vakulchyk, Y. Nakamura +2
We provide numerical evidence for a temporal quantum-mechanical interference phenomenon: time molecules (TM). A variety of such stroboscopic states are observed in the dynamics of…
Floquet Anderson Localization of Two Interacting Discrete Time Quantum Walks
Merab Malishava, Ihor Vakulchyk, Mikhail Fistul +1
We study the interplay of two interacting discrete time quantum walks in the presence of disorder. Each walk is described by a Floquet unitary map defined on a chain of two-level s…
Propagating large open quantum systems towards their steady states: cluster implementation of the time-evolving block decimation scheme
Valentin Volokitin, Ihor Vakulchyk, Evgeny Kozinov +5
Many-body quantum systems are subjected to the Curse of Dimensionality: The dimension of the Hilbert space , where these systems live in, grows exponentially with syst…
Almost compact moving breathers with fine-tuned discrete time quantum walks
I. Vakulchyk, M. V. Fistul, Y. Zolotaryuk +1
Discrete time quantum walks are unitary maps defined on the Hilbert space of coupled two-level systems. We study the dynamics of excitations in a nonlinear discrete time quantum wa…
Universal Nonlinear Disordered Wave Packet Subdiffusion: 12 Decades
Ihor Vakulchyk, Mikhail V. Fistul, Sergej Flach
We use a novel unitary map toolbox -- discrete time quantum walks originally designed for quantum computing -- to implement ultrafast computer simulations of extremely slow dynamic…
Signatures of many-body localization in steady states of open quantum systems
I. Vakulchyk, I. Yusipov, M. Ivanchenko +2
Many-body localization (MBL) is a result of the balance between interference-based Anderson localization and many-body interactions in an ultra-high dimensional Fock space. It is u…
Anderson localization in generalized discrete time quantum walks
I. Vakulchyk, M. V. Fistul, P. Qin +1
We study Anderson localization in a generalized discrete time quantum walk - a unitary map related to a Floquet driven quantum lattice. It is controlled by a quantum coin matrix wh…