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quant-ph2026

Measurement-Selective Dynamical Symmetry Breaking

Polina Kofman, Elvira Bilokon, Valeriia Bilokon +1

Continuous measurement is commonly associated with decoherence and the loss of symmetry. Here, we show that weak continuous measurements can instead act selectively: depending on t…

quant-ph2026

Nonlinear Response via Sublinear Optics

Mykhaylo Khoma, Valeriia Bilokon, Elvira Bilokon +1

Sublinear optical response, in which the emitted field scales as a fractional power of the driving field, lies beyond the conventional perturbative hierarchy of nonlinear optics. H…

quant-ph2026

Dispersion Relations in Two- and Three-Dimensional Quantum Systems

Valeriia Bilokon, Elvira Bilokon, Illya Lukin +2

Extracting momentum-resolved excitation spectra in strongly correlated quantum systems remains a major challenge, especially beyond one spatial dimension. We present an efficient t…

quant-ph2026

Towards spintronics via tunneling through asymmetric barriers

Elvira Bilokon, Valeriia Bilokon, Stanislava Litvinova +2

Spin transport typically relies on direct manipulation of the spin degree of freedom via magnetic fields, spin-orbit coupling, or engineered spin-dependent potentials. We show theo…

quant-ph2026

All You Need is Amplifier: Spectral Imposters Without Pulse Shaping

Valeriia Bilokon, Elvira Bilokon, Denys I. Bondar

Quantum tracking control encodes the desired dynamics into a tailored driving field; here, we let the system find its own way there. We propose a real-time feedback control framewo…

quant-ph2025

Observables in Motion: A guide to simulating classical and quantum dynamics

Denys I. Bondar, Gerard McCaul, Andrii Sotnikov

We present a pedagogical work-in-progress. This textbook aims to introduce Hilbert space representations for quantum and classical dynamics, outlining the mathematical foundations,…