6 papers
Multivariable Painleve'-II equation: connection formulas for asymptotic solutions
N. A. Sinitsyn
For an integrable generalization of the Painleve'-II equation (P-II) to a system of coupled equations with symmetry breaking terms, an asymptotically exact WKB analysis is applied…
Geometric phase in anisotropic Kepler problem: Perspective for realization in Rydberg atoms
Nikolai A. Sinitsyn, Fumika Suzuki
We predict a gyroscopic effect that can be demonstrated with Rydberg atoms following the dynamics of a Kepler Hamiltonian with an additional uniaxial anisotropy induced by optical…
Geometric adiabatic angle in anisotropic oscillators
Fumika Suzuki, Nikolai A. Sinitsyn
We discuss a classical anisotropic oscillator and the Foucault pendulum as examples illustrating non-conservation of action variables in integrable classical mechanical systems wit…
Competing Bosonic Reactions: Insight from Exactly Solvable Time-Dependent Models
Fumika Suzuki, Rajesh K. Malla, Nikolai A. Sinitsyn
We discuss the progress on exactly solvable multistate Landau-Zener models from a perspective of their application to competing reactions of particle creation from a false vacuum.…
Asymmetry Amplification by a Nonadiabatic Passage through a Critical Point
Bhavay Tyagi, Fumika Suzuki, Vladimir A. Chernyak +1
We propose and solve a minimal model of dynamic passage through a second-order phase transition in the presence of symmetry breaking interactions and no dissipation. Our model gene…
Parametric tuning of quantum phase transitions in ultracold reactions
Vijay Ganesh Sadhasivam, Fumika Suzuki, Bin Yan +1
Advances in atomic physics have led to the possibility of a coherent transformation between ultra-cold atoms and molecules including between completely bosonic condensates. Such tr…