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Nonadiabatic transitions during a passage near a critical point
Nikolai A. Sinitsyn, Vijay Ganesh Sadhasivam, Fumika Suzuki
The passage through a critical point of a many-body quantum system leads to abundant nonadiabatic excitations. Here, we explore a regime, in which the critical point is not crossed…
Phase transition in fluctuations of interacting spins at infinite temperature
V. N. Gorshkov, N. A. Sinitsyn, D. Mozyrsky
The high temperature limit of interacting spins is usually not associated with ordering or critical phenomena. Nevertheless, spontaneous fluctuations of a local spin polarization a…
Mesoscopic critical fluctuations
Saikat Banerjee, Nikolai A. Sinitsyn
We investigate magnetic fluctuations of a mesoscopic critical region at the interface induced by smooth time-independent spacial changes of a control parameter across its critical…
Topologically protected Grover's oracle for the partition problem
Nikolai A. Sinitsyn, Bin Yan
The Number Partitioning Problem (NPP) is one of the NP-complete computational problems. Its definite exact solution generally requires a check of all solution candidates, which…