Adiabatic processes in frequency conversion
Adiabatic evolution, an important dynamical process in a variety of classical and quantum
systems providing a robust way of steering a system into a desired state, was introduced …
systems providing a robust way of steering a system into a desired state, was introduced …
[HTML][HTML] The geometric phase in nonlinear frequency conversion
The geometric phase of light has been demonstrated in various platforms of the linear
optical regime, raising interest both for fundamental science as well as applications, such as …
optical regime, raising interest both for fundamental science as well as applications, such as …
Quantized fractional Thouless pumping of solitons
In many contexts, interaction between particles gives rise to emergent phenomena. An
example is the fractional quantum Hall effect, where the interaction between electrons leads …
example is the fractional quantum Hall effect, where the interaction between electrons leads …
Superfluidity of Bose–Einstein condensate in an optical lattice: Landau–Zener tunnelling and dynamical instability
B Wu, Q Niu - New journal of Physics, 2003 - iopscience.iop.org
Abstract Superflow of a Bose–Einstein condensate in an optical lattice is represented by a
Bloch wave, a plane wave with periodic modulation of the amplitude. We review the …
Bloch wave, a plane wave with periodic modulation of the amplitude. We review the …
Chern number governs soliton motion in nonlinear thouless pumps
M Jürgensen, MC Rechtsman - Physical review letters, 2022 - APS
Nonlinear Thouless pumps for bosons exhibit quantized pumping via soliton motion, despite
the lack of a meaningful notion of filled bands. However, the theoretical underpinning of this …
the lack of a meaningful notion of filled bands. However, the theoretical underpinning of this …
Cold bosons in optical lattices
VI Yukalov - Laser Physics, 2009 - Springer
Basic properties of cold Bose atoms in optical lattices are reviewed. The main principles of
correct self-consistent description of arbitrary systems with Bose-Einstein condensate are …
correct self-consistent description of arbitrary systems with Bose-Einstein condensate are …
Mean-field dynamics of a Bose-Einstein condensate in a time-dependent triple-well trap: Nonlinear eigenstates, Landau-Zener models, and stimulated Raman …
We investigate the dynamics of a Bose-Einstein condensate in a triple-well trap in a three-
level approximation. The interatomic interactions are taken into account in a mean-field …
level approximation. The interatomic interactions are taken into account in a mean-field …
Adiabatic condition for nonlinear systems
H Pu, P Maenner, W Zhang, HY Ling - Physical review letters, 2007 - APS
The adiabatic approximation is an important concept in quantum mechanics. In linear
systems, the adiabatic condition is derived with the help of the instantaneous eigenvalues …
systems, the adiabatic condition is derived with the help of the instantaneous eigenvalues …
Principal problems in Bose‐Einstein condensation of dilute gases
VI Yukalov - Laser Physics Letters, 2004 - Wiley Online Library
A survey is given of the present state of the art in studying Bose‐Einstein condensation of
dilute atomic gases. The bulk of attention is focused on the principal theoretical problems …
dilute atomic gases. The bulk of attention is focused on the principal theoretical problems …
Josephson oscillation and transition to self-trapping for Bose-Einstein condensates in a triple-well trap
B Liu, LB Fu, SP Yang, J Liu - Physical Review A—Atomic, Molecular, and …, 2007 - APS
We investigate the tunneling dynamics of Bose-Einstein condensates (BECs) in a symmetric
as well as in a tilted triple-well trap within the framework of mean-field treatment. The …
as well as in a tilted triple-well trap within the framework of mean-field treatment. The …