387 citations · 2.1k across the 79 of their papers we have counts for
9 papers · 1 filter
Integrable time-dependent quantum Hamiltonians
Nikolai A. Sinitsyn, Emil A. Yuzbashyan, Vladimir Y. Chernyak +2
We formulate a set of conditions under which dynamics of a time-dependent quantum Hamiltonian are integrable. The main requirement is the existence of a nonabelian gauge field with…
On fluctuations of cycles in a finite CW complex
Michael J. Catanzaro, Vladimir Y. Chernyak, John R. Klein
We use algebraic topology to study the stochastic mo- tion of cellular cycles in a finite CW complex. Inspired by statis- tical mechanics, we introduce a homological observable cal…
Utilizing Microcavities to Suppress Third-order Cascades in Fifth-order Raman Spectra
Zhedong Zhang, Kochise Bennett, Vladimir Chernyak +1
Nonlinear optical signals in the condensed phase are often accompanied by sequences of lower-order processes, known as cascades, which share the same phase matching and power depen…
Multistate Landau-Zener models with all levels crossing at one point
Fixiang Li, Chen Sun, Vladimir Y. Chernyak +1
We discuss common properties and reasons for integrability in the class of multistate Landau-Zener (MLZ) models with all diabatic levels crossing at one point. Exploring the Stokes…
A large class of solvable multistate Landau-Zener models and quantum integrability
Vladimir Y. Chernyak, Nikolai A. Sinitsyn, Chen Sun
The concept of quantum integrability has been introduced recently for quantum systems with explicitly time-dependent Hamiltonians. Within the multistate Landau-Zener (MLZ) theory,…
Discriminating Cascading Processes in Nonlinear Optics; A QED Analysis Based on Their Molecular and Geometric Origin
Kochise Bennett, Vladimir Y. Chernyak, Shaul Mukamel
The nonlinear optical response of a system of molecules often contains contributions whereby the products of lower-order processes in two separate molecules give signals that appea…